Normal Probability

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches. Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

• 261.03 inches

• 263 inches

• 272.44 inches

• 277.25 inches

Answer explanation

Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?

• 23.5 inches

• 20.15 inches

• 17.45 inches

• 37 inches

Answer explanation

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

• 165

• 166

• 170

• 162

Answer explanation

What is the area under the curve to the left of z = 0.55 ?

• .2912

• .5500

• .9394

• .7088

What is the area under the curve between z = 0 and z = 1.45?

• .9265

• .4265

• .4500

• .5000

What is the total area under the curve?

• 1
• .9998
• .997
• -3 < z < 3

What is the probability that a score is above (right of) 2.37?

• .0116

• .0089

• .0068

• .0051

• 99.04%

• 0.96%

• 98.93%

• 97.68%

Any normal probability distribution can be converted to the standard normal probability distribution by the following formula

Which of the following is the correct expression of the probability?