Assume that the probability of any newborn baby being a boy is one half and that all births are independent. If a family has three children (no twins), what is the probability of the event that none of them are boys?
Answer
this is a binomial distribution with n = 3 and p = 1/2 or 0.5
we have to find the probability that none of the 3 child is a boy

setting n = 3, r = 0 and p = 0.5
this implies
=
=
= 0.1250
Assume that the probability of any newborn baby being a boy is one half and that...
Assume each newborn baby has a probability of approximately 0.51 of being female and 0.49 of being male. For a family with three children, let Xequalsnumber of children who are girls. a. Identify the three conditions that must be satisfied for X to have the binomial distribution. b. Identify n and p for the binomial distribution. c. Find the probability that the family has one girl and two boys.
In a certain city, the true probability of a baby being a boy is 0.559. Among the next eight randomly selected births, find the probability that at least one of them is a boy. (round to three decimal places)
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.
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...
In a certain country, the true probability of a baby being a boy is 0.515. Among the next eight randomly selected births in the country, what is the probability that at least one of them is a girl?
X 4.5.13 In a certain country, the true probability of a baby being a boy is 0.537. Among the next four randomly selected births in the country, what is the probability that at leas The probability is (Round to three decimal places as needed.)
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.
The Binomial distribution: Each newborn baby has a probability of approximately 0.54 of being male. For a family with six children, let X=number of children who are girls. ·Identify n and p for the binomial distribution. ·Find the probability distribution of ? ·Find the mean and standard deviation of distribution of ?
Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5. If the first 5 children born are girls, what is the probability the next born child is a boy?
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...