The following table gives the percentage of music downloaded from the United States and other countries by U. S. users: Country U. S. Germany Canada Italy U. K. France Japan Other Percent 45.2 16.4 6.5 6.3 4.2 3.7 2.1 15.6 (a) Verify that the table does give a probability distribution for the experiment. The sum of the percents is %, so this does give a probability distribution. (b) What is the probability that a U. S. user who downloads music, selected at random, obtained it from either the United States or Canada? (Enter your answer to three decimal places.) (c) What is the probability that a U. S. user who downloads music, selected at random, does not obtain it from Italy, the United Kingdom (U. K.), or France? (Enter your answer to three decimal places.)

Question

Mathematics

Savanna Bean

28 November, 15:13

The following table gives the percentage of music downloaded from the United States and other countries by U. S. users: Country U. S. Germany Canada Italy U. K. France Japan Other Percent 45.2 16.4 6.5 6.3 4.2 3.7 2.1 15.6 (a) Verify that the table does give a probability distribution for the experiment. The sum of the percents is %, so this does give a probability distribution. (b) What is the probability that a U. S. user who downloads music, selected at random, obtained it from either the United States or Canada? (Enter your answer to three decimal places.) (c) What is the probability that a U. S. user who downloads music, selected at random, does not obtain it from Italy, the United Kingdom (U. K.), or France? (Enter your answer to three decimal places.)

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Answers (1)

Know the Answer?

Marge · Answer 1

A) 100%; B) 0.517; C) 0.858

Step-by-step explanation:

For part A,

We find the sum of the probabilities:

45.2+16.4+6.5+6.3+4.2+3.7+2.1+15.6 = 100

Since they sum to 100%, this is a probability distribution.

For part B,

We add together the probabilities for the US and Canada:

45.2+6.5 = 51.7% = 51.7/100 = 0.517

For part C,

We first add together the probabilities for Italy, the UK and France:

6.3+4.2+3.7 = 14.2%

Next we subtract this from 100%:

100-14.2 = 85.8% = 85.8/100 = 0.858