1) In the year 2031, Karl Lane is a leading physician’s assistant. Karl is researching the number of patients seen per hour. Karl develops the following probability distribution. Number of patients Probability

6 .5

7 .2

10 .2

11 .1

a) What shape is the above probability distribution (symmetric, positively skewed, negatively skewed)?

b) What is the mean (expected value) for the number of patients per hour?

c) What is the standard deviation for the number of patients per hour?

d) If a sample of size 18 is taken, what is the expected value of the sample mean?

e) If a sample of size 18 is taken, what is the probability the sample mean is greater than 8.1?

f) If a sample of size 18 is taken, what is the standard error of the mean?

g) If a sample of size 34 is taken, what is the expected value of the sample mean?

h) If a sample of size 34 is taken, what is the probability the sample mean is greater than 8.1?

i) If a sample of size 34 is taken, what is the standard error of the mean?