In: Statistics and Probability
There are 11 houses on a certain block. Exactly 4 of these houses have a swimming pool. A random sample of 5 of these houses is taken. Let X be the number of houses in the sample that have a swimming pool. All answers to the thousandths place please. Thank you.
A) Find the probability that exactly one selected house has a swimming pool.
B) Find the probability that at least one selected house has a swimming pool.
C) Find the probability that no selected houses have a swimming pool.
D) Find the probability that all the selected houses have a swimming pool.
E) Find the probability that exactly two selected houses have a swimming pool.