Finding Normal Distribution Probability

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 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%

The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m

In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?

• 24

• 54

• 97

• 100

What's the probability x > 17?

(Mean = 15, Standard dev = 3)

• 0.7486

• 0.7454

• 0.2514

• 0.2546

What's the probability of 49 < x < 51 ?

(Mean = 50, Standard dev = 6.5)

• 0.1192

• 0.1251

• 0.1587

• 0.0875

What's the probability of the gray area? (Mean = 55, Standard dev = 2.5)

• 0.8185

• 0.8413

• 0.8641

• 0.8389

What's the probability of the highlighted area? (Mean = 30, Variance = 1)

• 0.8664

• 0.7863

• 0.9332

• 0.8754

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

• 34%

• 16%

• 81.5%

• 2.5%

What's the probability of the highlighted area? (Mean = 100, Standard dev = 10)

• 0.9772

• 0.0228

• 0.1587

• 0.0062

If you had to guess the probability of the gray area, which would you choose?

• 0.2

• 0.4

• 0.6

• 0.8