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In: Statistics and Probability

There are 11 houses on a certain block. Exactly 4 of these houses have a swimming...

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.

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