finding probability using normal distribution

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 less than 5 accidents?

• 0.6915
• 0.1762
• 0.8238
• -0.93

Tags

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

Tags

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%

Tags

CCSS.HSF-LE.A.1B

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

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

What's the probability of x < 13 ?

(Mean = 20, Standard dev = 6.5)

• 0.1423

• 0.1401

• 0.0446

• 0.0359

Tags

CCSS.HSS.ID.A.4

What's the probability of the highlighted area (between 28.5 and 31.5). The Mean = 30 and Standard deviation = 1

• 0.8664

• 0.7863

• 0.9332

• 0.8754

Tags

CCSS.HSS.ID.A.4

The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. A beagle is randomly selected. Find the probability that the beagle’s weight is more than 29 pounds.

• 0.3694
• 0.3781
• 0.0912

Tags

CCSS.HSS.ID.A.4

Test has a mean of 40, standard deviation of 10. What is the percent of people with a score below 37?

• 52.97%

• 31.53%

• 48.99%

• 38.21%

Tags

CCSS.HSS.ID.A.4

The marks obtained by the students are normally distributed with mean 61 marks and standard deviation 10 marks. Find the probability of the students obtain at least 85 marks.

• 0.4207

• 0.0082

• 0.1112

• 0.9918

Tags

CCSS.HSS.ID.A.4