Assume that the probability of a boy being born is the same as the probability of a girl being born.
Assume that the probability of a boy being born is the same as the probability of a girl being born.
(a) Find the probability that for family with four children, the two oldest children are girls.
(b) Find the probability that for family with four children, exactly two of the children are boys.
(c) Find the probability that for family with four children, at least two of the children are boys.
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Assume that the probability of a boy being born is the same as the probability of a girl being born.
Assume that the probability of a boy being born is the same as the probability of...
Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have the given composition.The two oldest children are girls.
Problem 8: 10 points Assume that each newly born child is a boy or a girl...
Problem 8: 10 points Assume that each newly born child is a boy or a girl with probability Consider a family that has two children 1. What is the probability that there are two girls, given that the eldest child is a girl? B) What is the probability that there are two girls, given that there is at least one girl?
1. Suppose that each child born to a couple is equally likely to be a boy...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- pendently of the gender distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. e) There is at least 1...
1. Suppose that each child born to a couple is equally likely to be a boy...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl. 3. In a bolt factory machines A, B, C manifacture, respectively 25, 35 and...
Find the probability of a couple having a baby boy when their fifth child is born,...
Find the probability of a couple having a baby boy when their fifth child is born, given that the first four children were all boys. Assume boys and girls are equally like Is the result the same as the probability of getting all boys among five children? The probability is _______ (Type an integer or a simplified fraction.) Is this result the same as the probability of getting all boys among five children? A. Yes. The events are all independent. B. Yes. The final...
A young couple falls in love and decides to marry and start a family. Assume that...
A young couple falls in love and decides to marry and start a family. Assume that with each birth, they are equally like to have a boy or girl child - and only one at a time (no twins or other multiple births). They decide to keep having children until they have one girl. 5. a. On average, how many children will be born to this family? b. If there are no girls in the first two births, what is...
Answer only 8.15, do not answer 8.14. If all work is shown, I will thumbs up....
Answer only 8.15, do not answer 8.14. If all work is shown, I
will thumbs up.
*8.14 The probability of a boy being born equals.50, or 1/,, as does the probability of a girl being born. For a randomly selected family with two children, what's the probability of (a) two boys, that is, a boy and a boy? (Reminder: Before using either the addition or multiplication rule, satisfy yourself that the various events are either mutually exclu- sive or independent,...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose a couple is planning to have three children." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. What is the probability of the first- born child being a boy? (Use the form X.XX) b. What is the probability of the first- born child being a girl? (Use the form X.XX)...
A family has three children. Every child was born to be a boy or girl with...
A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having at least one boy is?
A couple is planning on having three children. You may assume that one child is born...
A couple is planning on having three children. You may assume that one child is born at a time (no twins or triplets), that each child was born two years apart from one another, and that it is equally likely for the couple to have a boy or a girl. Construct a tree diagram and show the sample space. a) What is the probability that the oldest child is a girl and the two younger children are boys? b) What...
Problem 8: 10 points Assume that each newly born child is a boy or a girl with probability Consider a family that has two children 1. What is the probability that there are two girls, given that the eldest child is a girl? B) What is the probability that there are two girls, given that there is at least one girl?
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- pendently of the gender distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. e) There is at least 1...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. (e) There is at least 1 girl. 3. In a bolt factory machines A, B, C manifacture, respectively 25, 35 and...
A young couple falls in love and decides to marry and start a family. Assume that with each birth, they are equally like to have a boy or girl child - and only one at a time (no twins or other multiple births). They decide to keep having children until they have one girl. 5. a. On average, how many children will be born to this family? b. If there are no girls in the first two births, what is...
Answer only 8.15, do not answer 8.14. If all work is shown, I
will thumbs up.
*8.14 The probability of a boy being born equals.50, or 1/,, as does the probability of a girl being born. For a randomly selected family with two children, what's the probability of (a) two boys, that is, a boy and a boy? (Reminder: Before using either the addition or multiplication rule, satisfy yourself that the various events are either mutually exclu- sive or independent,...
Please read the following prompt carefully: "About 48% of all births result in a girl. Suppose a couple is planning to have three children." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided. a. What is the probability of the first- born child being a boy? (Use the form X.XX) b. What is the probability of the first- born child being a girl? (Use the form X.XX)...
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