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The following table presents the 100 senators of the 113th

ISBN: 9780073401331 38

Solution for problem 19E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 19E

The following table presents the 100 senators of the 113th U.S. Congress on January 3, 2013, classified by political party affiliation and gender.

A senator is selected at random from this group. Compute the following probabilities.

a. The senator is a male Republican.

b. The senator is a Democrat or a female.

c. The senator is a Republican.

d. The senator is not a Republican.

Step-by-Step Solution:
Step 1 of 3

Solution 19E

Step1 of 3:

We have table that presents 100 senators of the 113th U.S. congress on january 3, 2013, classified by political party affiliation and gender.

 Male Female Democrat 37 16 Republican 41 4 Independent 2 0

We need to find,

a).The probability that the senator is a male Republican.

b).The probability the senator is a Democrat or a female.

c).The probability the senator is a Republican.

d).The probability the senator is not a Republican.

Step2 of 3:

a).

We have

 Male Female Row total Democrat 37 16 53 Republican 41 4 45 Independent 2 0 2 Column total 80 20 Grand total =100

Now, The probability that the senator is a male Republican is given by

P(The senator is a male Republican) = P(MR)

=

=

= 0.41

Hence, P(The senator is a male Republican) = 0.41.

Therefore, The probability that the senator is a male Republican is 0.41.

b).

We have

 Male Female Row total Democrat 37 16 53 Republican 41 4 45 Independent 2 0 2 Column total 80 20 Grand total =100

The probability the senator is a Democrat or a female is given by

P(The senator is a Democrat or a female) = P(DF)

...

Step 2 of 3

Step 3 of 3

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