SOLUTION: 1. Each child born to a particular set of parents has a probability of 0.25 of having blood type O. If these parents have 5 children. What is the probability that? a. Exactly th

Algebra ->  Statistics  -> Central-limit-theorem -> SOLUTION: 1. Each child born to a particular set of parents has a probability of 0.25 of having blood type O. If these parents have 5 children. What is the probability that? a. Exactly th      Log On


   

Question 1200399: 1. Each child born to a particular set of parents has a probability of 0.25 of having
blood type O. If these parents have 5 children. What is the probability that?
a. Exactly three of them have blood type O.
b. At most 2 have blood type O
c. At least 4 have no blood type O
d. The fifth child have blood type O
e. Compute the mean and variance of this probability distribution
f. Draw the probability distribution table
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


The probability of exactly successes in independent trials with a uniform probability of success on any given trial of is given by:



where is the number of combinations of things taken at a time.

The probability of at least successes in independent trials with a uniform probability of success on any given trial of is given by the sum:



Which is the probability of exactly successes plus the probability of exactly and so on up to the probability of exactly n successes.

Just plug in your numbers, remembering to express the probability as a decimal, and do the indicated arithmetic.

It may save you some arithmetic if you recognize that


The mean of the binomial distribution is , and the variance of the binomial distribution is

The distribution table would be the the list of results for for zero through five.

John

My calculator said it, I believe it, that settles it
From
I > Ø