Question

The line for tickets for the new Fast and Furious movie is long, with 100 people...

The line for tickets for the new Fast and Furious movie is long, with 100 people waiting to buy tickets. The Box Office knows that the number of tickets purchased by any person follows a distribution with mean of 2.7 and standard deviation of 2.0. If only 250 tickets remain, use the Central Limit Theorem to approximate the probability that all 100 people will be able to buy the tickets they want.

Math   Statistics-And-Probability   
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Answer #1

This problem is based on normal distribution with parameters mean() = 2.7 and

standard deviation ( )= 2.0. And n=100

We have to calculate sample mean () = 250/100

= 2.5

By using central limit theorem we have to calculate probability that all 100 people will be able to buy the tickets they wants.

Hence the probability of all 100 people will be able to buy the tickets they wants is 0.032

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