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Chapter 12: Q. AP4.22 (page 831)

A distribution that represents the number of cars X parked in a randomly selected residential driveway on any night is given by

Given that there is at least 1 car parked on a randomly selected residential driveway on a particular night, which of the following is closest to the probability that exactly 4cars are parked on that driveway?

a. 0.10

b. 0.15

c. 0.17

d.0.75

e.0.90

Short Answer

Expert verified

The answer is option (c)0.17.

Step by step solution

01

Given information

The given data is

02

Explanation

Let Xbe the total number of parked autos. As a result, we may deduce that

P(X=0)=0.10P(X=4)=0.15

Using the complement rule as a guide,

P(X≥1)=1-P(X=0)=1-0.10=0.90

The conditional probability is now computed as follows:

=P(X=4andX≥1)P(X≥1)=0.150.90=0.17

As a result, option is the proper choice (c).

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