Most exhibition shows open in the morning and close in the late evening. A study of...

Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 57 minutes. Assume that the arrival times follow a normal distribution.

(a) At what time after the doors open will 86% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)
minutes after doors open

(b) At what time after the doors open will only 12% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)
minutes after doors open

(c) Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.

Solutions

Expert Solution

Answer:-

Let x be the arrival time which follows normal distribution with mean (µ) 3 hours 48 minutes or 228 minutes and standard deviation (σ) 57 minutes.
If 86% of the people who are coming to the Saturday show have arrived, than

b)If 12% of the people who are coming to the Saturday show have arrived, than

C) yes, That the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday because people probably arrive late if they have work. Also people regularly on there work from monday to friday.

orchestra answered 1 year ago

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