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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4

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%

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CCSS.HSS.ID.A.4

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

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CCSS.HSS.ID.A.4