Question

The time it takes for a Madonna concert to sell out follows a normal distribution with an average sell out time of 80 minutes with a standard deviation of 15 minutes.

Fill in the values for the normal curve for the time to sell out. From left to right, the values would be:         2 points

b.)    Quantify, what percent of shows would they expect to sell out in 50 minutes or less? Write your answer as a percentage without the % symbol. Do not round your answer. 2 points    

c.)    How many shows out of the 50 would be expected to take 95 minutes or more to sell out? Show how you arrive at your value. 3 points    

Answer 1

b.)    Quantify, what percent of shows would they expect to sell out in 50 minutes or less? Write your answer as a percentage without the % symbol. Do not round your answer.

The following information has been provided:

We need to compute The corresponding z-value needed to be computed:

Therefore,

= 2.28%

c.)    How many shows out of the 50 would be expected to take 95 minutes or more to sell out? Show how you arrive at your value

The following information has been provided:

We need to compute . The corresponding z-value needed to be computed is:

Therefore, we get that

For 50 shows = 50*0.1587 = 7.935 = 8 shows will be more than 95 minutes