The cable company is analyzing data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded. Satellite Company X : 89 live, 430 recorded Satellite Company Y : 65 live, 94 recorded What is the probability that a randomly selected customer from Company Y watches recorded shows more often than live television? Give your answer in percent form rounded to the nearest whole percent.

Question

Mathematics

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21 January, 16:24

The cable company is analyzing data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded. Satellite Company X : 89 live, 430 recorded Satellite Company Y : 65 live, 94 recorded What is the probability that a randomly selected customer from Company Y watches recorded shows more often than live television? Give your answer in percent form rounded to the nearest whole percent.

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Eleanor Shelton · Answer 1

59%

Step-by-step explanation:

The information from Satellite Company Y is:

65 people watch live and 94 people watch recorded.

The total number of people from Y is:

65 + 94 = 159

So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):

Probability = 94 / 159 = 0.5912 = 59.12%

Rounding to nearest whole percent, we have 59%