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# A survey of cars on a certain stretch of highway during ## Problem 5E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 5E

A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let Xrepresent the number of occupants in a randomly chosen car.

a. Find the probability mass function of X.

b. Find P(X  ≤  2).

c. Find P(X  > 3).

d. Find μX.

e. Find σX

Step-by-Step Solution:

Step 1of 3 :

A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant 15% had 2, 10% had 3, 3% had 4, and 2% had 5.if X represent the number of occupants in a randomly chosen car.

We have to find

The probability mass function of X.P(X )P(X>3)E(X) .

Step 2 of 3:

It is given that 70% of the cars had only one occupant. 15% had 2, 10% had 3, 3% had 4, and 2% had 5. We can make a probability table based on this given data.so the probability mass function of X will be in the form. (b)  P( = P(X=1) +P(X=2)

=  0.70 +0.15

=  0.85.

Therefore the probability P = 0.85

(c)   P( =  1- P( =  1- [ P(X=1) +P( X=2 )+P(X =3) ]

=  1 - [0.70 + 0.15 +0.10 ]

=  1- 0.95

= 0.05.

So the probability that P(X>3) = 0.05 .

Step 3 of 3

##### ISBN: 9780073401331

The full step-by-step solution to problem: 5E from chapter: 2.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: Find, mass, chosen, commute, during. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let Xrepresent the number of occupants in a randomly chosen car.a. Find the probability mass function of X.________________b. Find P(X ? 2).________________c. Find P(X > 3).________________d. Find ?X.________________e. Find ?X” is broken down into a number of easy to follow steps, and 64 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 5E from 2.4 chapter was answered, more than 1590 students have viewed the full step-by-step answer.

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A survey of cars on a certain stretch of highway during

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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2.4 - Problem 5e

Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2.4 - Problem 5e