Probability Applications

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What is the probability that in a week there would be fewer (less) than 5 accidents?

• 0.6915

• 0.1762

• 0.8238

• -0.93

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What is the probability that in a week there would be more than 7 accidents?

• 0.3446

• 0.2856

• 0.4

• 0.6554

How can you use probability to draw conclusions about the likelihood that something will occur?

• The higher the probability of something, the more likely it will occur.

• By guessing the outcome without any calculation

• By asking experts in the field

• By observing the outcome repeatedly without calculating probabilities

What is probability?

• Probability describes the likelihood that a chance or event will occur.

• A branch of mathematics dealing with complex numbers

• A method for solving algebraic equations

• A technique for data encryption

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 probability that a teenager will have a waist size greater than 31 inches.

• .924

• .105

• .16

• .076

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

What is the approximate probability that a product will last between 12 and 15 days?

• .68

• .34

• .16

• .025

The mean July daily rainfall in Hulu Kinta is 10 mm and the standard deviation is 1.5 mm. Assume that this data is normally distributed. How many days in July would you expect the daily rainfall to be less than 8.5 mm? (Find the z-score, and look it up. Then, multiply by 31 days!)

• 5

• 6

• 7

• 10

What's the probability x < 13?

(Mean = 10, Variance = 4)

• 0.9332

• 0.2266

• 0.7734

• 0.0668