These are three question for Business Statistics. The data provided is a summary statistic from excel.

Data from excel:

TRANTIME

Mean 5.885714286

Standard Error 0.123644631

Median 6

Mode 8

Standard Deviation 2.313179241

Sample Variance 5.350798199

Kurtosis -0.695823941

Skewness -0.5781627

Range 8

Minimum 1

Maximum 9

Sum 2060

Count 350

We've looked at some other data and know that the time taken to complete a transaction (in minutes) follows a normal distribution. Can you help management a little bit by providing basic summary statistics on the dat we have on this variable from the survey of (i.e., mean standard deviation, sample size)? With that information can you calculate the following probabilities:

Question 1: The probability a customer will experience a transaction that takes less than five minutes to complete?

Question 2: The probability a customer will experience a transaction that takes more than eight minutes to complete?

Question 3: The probability a customer will experience a transaction that takes between three and six minutes to complete?