You select a family of three children. if M represents a male child and F a female child. Find the probability of selecting a family with
1) At least one male child
2) At least two female children
You select a family of three children. if M represents a male child and F a...
You select a family with three children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is shown below. Find the probability of selecting a family with at least one male child. MMM, MMF, MFM, MFF, {MMM, MMF, MFM, MFF, FMM, FMF, FFM , FFF The probability of having a least one male child is
Consider a family with eight children. Assuming that the sex each child is determined independently of the others and that each child is equally likely to be female or male, a. What is the probability that exactly four children are female? Hint: Use the binomial distribution. (10 points) b. What is the probability that at most seven children are female? Hint: What is the complement of this event? (10 points)c. Find the conditional probability that the first two children born are female...
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?
Suppose a family contains two children of different ages, and we are interested in of these children. Let F denote that a child is female and M that the child is male and let a pair such as FM denote that the older child is female and the younger is male. There are four points in the set S of possible observations: the gender S (FF, FM, MF, MM) Let A denote the subset of possibilities containing no males: B,...
The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the wilson family had: at least 7 girls? Score on last attempt: 1/1) 1 out of 2 (parts: * 0/1, 1 out of 2 (parts: #0/1, Score in gradebook: 1/1) Reattempt last question below, or select another question The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find the...
A simple model for human offspring is that each child is equally likely to be male or female. With this model, a three-child family can be thought of as three random determinations of sex, in order. a. What are the 8 possible outcomes? What is the probability of each? b. What outcomes make up the event “the oldest child is a daughter”? What is the event’s probability? c. What outcomes make up the event “the family has one daughter and...
The Wilson family had 7 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had: at least 2 girls? at most 2 girls? Round your answers to 4 decimal places.
The Wilson family had 9 children. Assuming that the probability that each child can roll their tongue is 70%, find the probability that the Wilson family had: at least 2 children that could roll their tongue? at most 6 children that could roll their tongue? Round your answers to 4 decimal places.
9. The probability that any child in a certain family will have blue eyes is 1 in 4, and this feature is inherited independently by different children in the family. If there are five children in the family and it is known that at least one of them has blue eyes, what is the probability that at least three of the children have blue eyes?
In a family of four children, what is the probability of having all boys? Assume a 50:50 sex ratio (i.e., for each child born, there is a 50% chance that it is male and a 50% chance that it is female). 1/8 1/4. 1/2. 1/16. 1/32