Question

1. Find the probability that x is between four and 10. (Round your answer to four decimal places.)

X ~ N(5, 3)

2. Suppose

X ~ N(−1, 4).

What is the z-score of  x = 10?  (Enter an exact number as an integer, fraction, or decimal.)
z =

3. The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories.

Find the probability that the percent of fat calories a person consumes is more than 43. (Round your answer to four decimal places.)

4. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 230 feet and a standard deviation of 46 feet. Let X = distance in feet for a fly ball.

Give the distribution of X.
X ~ ( , )

5. The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts.

Find the probability that a CD player will last between 2.8 and eight years.

(b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.)

P( < x <   ) =  

Answer 1