XRW-514 JAV 0 *In this set of problems, you are going to calculate the probabilities ofcertain events happening. Each problem will have a specific scenario that will beused to calculate the probabilities. Let's start by calculating the probabilities ofchildren being born in a certain country.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to the probability of having a girl, that is, 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `Therefore, the probability of each couple having at least one boy is 0.75.` ### 2) Determine the probability of at least one being a boy if a couple has 3 children. Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^3, which is 0.125.` `The probability of having at least one child is 1 - 0.125, which is 0.875.` `Therefore, the probability of each couple having at least one boy is 0.875.` ### 3) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a girl. What is the probability of each couple having atleast one girl? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all boys is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `Therefore, the probability of each couple having at least one girl is 0.75.` ### 4) Determine the probability of at least one being a girl if a couple has 3 children. Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all boys is 0.5^3, which is 0.125.` `The probability of having at least one child is 1 - 0.125, which is 0.75.` `Therefore, the probability of each couple having at least one girl is 0.75.` ### 5) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `Therefore, the probability of each couple having at least one boy is 0.25.` ### 6) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a girl. What is the probability of each couple having atleast one girl? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all boys is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `Therefore, the probability of each couple having at least one girl is 0.75.` ### 7) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a girl. What is the probability of each couple having atleast one girl? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all boys is 0.5^2, which is 0.5.` `The probability of having at least one child is 1 - 0.5, which is 0.5.` `Therefore, the probability of each couple having at least one girl is 0.5.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per cubic per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.5.` `The probability of having at least one child is 1 - 0.5, which is 0.5.` `The probability of each couple having at least one boy is 0.5.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of haveInf least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.5, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What for the connection assuming the probability of 0.75 is 0.504?` Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.75.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.5.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.75.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. The probability of each couple having atleast one boy is 0.75.` Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ` ### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.75.` ` ### 1) A certain country has a birth rate of 1.4 per couple, the probability of having a boy is 0.5. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy? Solution： `Let’ assume that the probability of having a boy is equal to 0.5.` `The probability of having all girls is 0.5^2, which is 0.25.` `The probability of having at least one child is 1 - 0.25, which is 0.75.` `The probability of each couple having at least one boy is 0.5.` ` --- ` ` ` ` ## Any bugs? 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