Understanding the Normal Distribution

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being over 70 inches tall?

• 50%

• 17%

• 83%

• 33%

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being over 74 inches tall?

• 50%

• 17%

• 83%

• 33%

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being under 74 inches tall?

• 50%

• 17%

• 83%

• 33%

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being under 62 inches tall?

• 95%

• 17%

• 5%

• 2.5%

Scores on a test are normally distributed with a mean of 75 and a standard deviation of 5.

What is the probability of someone scoring under 70?

• 17%

• 33%

• 5%

• 2.5%

Scores on a test are normally distributed with a mean of 75 and a standard deviation of 5.

What is the probability of someone scoring under 65?

• 95%

• 5%

• 2.5%

• 0.5%

Scores on a test are normally distributed with a mean of 75 and a standard deviation of 5.

What is the probability of someone scoring over 90?

• 99%

• 1%

• 2.5%

• 0.5%

Scores on a test are normally distributed with a mean of 75 and a standard deviation of 5.

What is the probability of someone scoring between 70 and 80?

• 33%

• 66%

• 95%

• 99%

In the Olympics, the 100m sprint times are normally distributed with a mean of 10.5s and a standard deviation of 0.4s.

What is the probability of a sprinter running the 100m in less than 10.1 seconds?

• 17%

• 33%

• 66%

• 83%

In the Olympics, the 100m sprint times are normally distributed with a mean of 10.5s and a standard deviation of 0.4s.

Out of 50 competitors, how many would you expect to record a time between 10.1 and 10.9 seconds?

• 66

• 33

• 17

• 16