Helene claimed that the expected value when rolling a fair die ...

[TVarnum]

Helene claimed that the expected value when rolling a fair die was 3.5. Steve said that
  wasn't possible.
 
  He said that the expected value was the most likely value in a single roll
  of the die, and since it wasn't possible for a die to turn up with a value of 3.5, the expected
  value couldn't possibly be 3.5. Who is right?

Question 2

For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean
  of 114.8 and a standard deviation of 13.1.
 
  If 23 women aged 18-24 are randomly selected, find the
  probability that their mean systolic blood pressure is between 119 and 122.
  A) 0.9341 B) 0.3343 C) 0.0577 D) 0.0833

[chereeb]

Answer to Question 1

Helene is right. The expected value is not the most likely value in a single trial, it is the mean value obtained from
infinitely many trials. The expected value is the mean we would expect to get if the die could be rolled infinitely many
times, which is 3.5.

Answer to Question 2

C

[TVarnum]

Thank you!

[chereeb]

Always glad to help...