Mathematics
29.03.2023 12:54
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Suppose 60% of homes in miami have a swimming pool and 30% have both a swimming

Suppose 60% of homes in miami have a swimming pool and 30% have both a swimming pool and a jacuzzi. what is the probability that a randomly selected home will have a jacuzzi given that it has a swimming pool?
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iamjenng5028
iamjenng5028
4,6(62 marks)

0.5 is the probability that a randomly selected home will have a Jacuzzi given that it has a swimming pool.              

Step-by-step explanation:

We are given the following in the question:

S: Homes in Miami have a swimming pool

J: Homes in Miami have a jacuzzi

P(S) = 60\% = 0.6\\P(S\cap J) = 30\% = 0.3

We have to find the probability that a randomly selected home will have a Jacuzzi given that it has a swimming pool.

Thus, we have to calculation the conditional probability of having a jacuzzi given the house has a swimming pool.

P(J|S) = \dfrac{P(J\cap S)}{P(S)}\\\\P(J|S) = \displaystyle\frac{0.3}{0.6} = 0.5

0.5 is the probability that a randomly selected home will have a Jacuzzi given that it has a swimming pool.

rama64
rama64
5,0(40 marks)
It’s probably 2/2 or 2/1 I think 2/1 is more accurate

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