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In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.

Nobel Laureates. From Wikipedia and the article "Which Country Has the Best Brains?" from BBC News Magazine, we obtained a frequency distribution of the number of Nobel Prize winners. by country.

Suppose that a recipient of a Nobel Prize is selected at random. Find the probability that the Nobel Laureate is from

(a) Sweden.

(b) either France or Germany.

(c) any country other than the United States.

Short Answer

Expert verified

Part (a) 0.035.

Part (b) 0.193.

Part (c) 0.597.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

From Wikipedia and the article "Which Country Has the Best Brains?" from BBC News Magazine, we obtained a frequency distribution of the number of Nobel Prize winners. by country.

Country

Winners

United States

338

United Kingdom

119

Germany

103

France

59

Sweden

29

Switzerland

25

Other Countries

166

02

Part (a) Step 2. Find the probability that the selected recipient is from Sweden.

We know that an event's probability ranges from 0 to 1, and both 0 and 1 are included in it.


The formula for the probability of an event is:

P(E)=No.offavorableoutcomesTotalno.ofoutcomes

The total number of Nobel Prize winners from different countries is 839.


The total instances where the selected recipient of a Nobel Prize is from Sweden is 29.

Now Let's take the occurrence 'E' as the selected recipient of a Nobel Prize is from Sweden.

The probability that the selected recipient of a Nobel Prize is from Sweden:

P(E)=29839=0.035

03

Part (b) Step 1. Find the probability that the selected recipient is from either France or Germany.

The total instances where the selected recipient of a Nobel Prize is from either France or Germany are:

103+59=162

Now Let's take the occurrence 'E' as the selected recipient of a Nobel Prize is from either France or Germany.

The probability that the selected recipient of a Nobel Prize is from either France or Germany:

P(E)=162839=0.193

04

Part (c) Step 1. Find the probability that the selected recipient is from any country other than the United States.

The total instances where the selected recipient of a Nobel Prize is from any country other than the United States is:

=Total Number of Winners-Winners from the U.S.

role="math" localid="1651069266757" 839-338=501

Now Let's take the occurrence 'E' as the selected recipient of a Nobel Prize is any country other than the United States.

The probability that the selected recipient of a Nobel Prize is from any country other than the United States is:

P(E)=501839=0.597

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