Normal Distribution

Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the GMAT?

• .5689

• .5953

• .2547

• .4786

• .4047

The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a standard deviation of 16 days. What proportion of all pregnancies will last between 240 and 270 days (roughly between 8 and 9 months)?

• .4534

• .5187

• .5466

• .6289

• .3258

The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal. What is the probability that at least 3,500 will be burned in any given year?

• .1431

• .8569

• .2789

• .9125

• .8147

The Edwards’s Theater chain has studied its movie customers to determine how much money they spend on concessions. The study revealed that the spending distribution is approximately normally distributed with a mean of $4.11 and a standard deviation of $1.37. What percentage of customers will not spend between 4 and 5 dollars

• .362

• .824

• .258

• .726

• .274

Systolic blood pressure readings in a particular population are approximately normal with a mean of 127 mb. and 5 mb. A researcher wishes to select people for a study but wants to exclude those whose systolic readings above 140 as they would be a heath risk. If he has 2,000 participants how many will be excluded. Round your answer to the nearest integer?

• 125 people

• 12 people

• 9 people

• 10 people

• 1 person

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have more than 7 accidents?

• 0.3446

• 0.2856

• 0.4

• 0.6554

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last less than 10 days

• .2747

• .1328

• .3625

• .2525

• .7475

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

If the are 100 golfers in a tournament how many will be between 35 and 39

• 12

• 15

• 18

• 37

• 54

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. 
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist   sizes greater than 31 inches?

• 92.4%
• 10.5%
• 16%
• 7.6%

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What probability of students at the high school have a GPA between 3 and 4 gpa

• ..5996

• .4338

• .4875

• .4528

• .4004