attendance at a health club is normally distributed. the average number of people visiting the health club at any given time is 100, with a standard deviation of 48.5. the club has a capacity of 200 people a. what is the probability theclub exceeds capapacity? b. attendance below 5 people, the club has the option of closing early. what is the probability the club will close ealry?

attendance at a health club is normally distributed. the average number of people visiting the health club at any given time is 100, with a standard deviation of 48.5. the club has a capacity of 200 people

a. what is the probability theclub exceeds capapacity?

b. attendance below 5 people, the club has the option of closing early. what is the probability the club will close ealry?

 

Solution

The Z score of a normal distribution is calculated as follows

Z = (bar{X} –

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