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Question
the cable company is analyzing the 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. to the nearest whole percent, what is the probability that a randomly selected customer from satellite company y watches recorded shows more often than live television? 41% 59% 77% 83%
Step1: Calculate total number of shows watched by Company Y users
The total number of shows watched by Company Y users is the sum of live - watched and recorded - watched shows. So, $65 + 94=159$.
Step2: Calculate the probability of watching live shows
The probability $P$ of a randomly selected Company Y customer watching live television is the number of live - watched shows divided by the total number of shows. That is $P=\frac{65}{159}$.
Step3: Convert the probability to percentage
$P=\frac{65}{159}\approx0.4088$, and in percentage form $0.4088\times100 = 40.88\%\approx41\%$.
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