Discrete Probability Distributions

Some patients become claustrophobic and require sedation during MRI Tests. Suppose that 20% of all patients undergoing MRI testing require sedation due to claustrophobia. If five patients are selected at random, find the probability that exactly 4 require sedation.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

In a Christmas display the probability that all lights are the same color is 0.5, that 2 colors are used is 0.4; and that 3 or more colors are used is 0.1. If a sample of 10 displays is selected, find the probability that 5 have only 1 color of light , 3 have 2 colors, and 2 have 3 or more colors.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

Dawn Corporation has 12 employees who hold managerial positions. Of them, 7 are female and 5 are male. The company is planning to send 3 of these 12 managers to a conference. If 3 managers are randomly selected out of 12 find the probability that 2 are female and 1 is male.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

Twenty percent of the cars passing through a school zone are exceeding the speed limit by more than 10 mph. Find the probability that in a random sample of 100 cars passing through this school zone, exactly 25 will exceed the speed limit by more than 10 mph.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

On average, a household receives 9.5 telemarketing phone calls per week. Find the probability that a randomly selected household receives exactly 6 telemarketing phone calls during a given week.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

At a food bank a case of donated items contains 10 cans of soup, 8 cans of vegetables, and 8 cans of fruit. If 3 cans are selected at random to distribute, find the probability of getting 1 can of vegetables and 2 cans of fruit.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

Before a DVD leaves the factory, it is given a quality control check. The probabilities that a DVD contains 0, 1, or 2 defects are 0.9, 0.06, and 0.04, respectively. In a sample of 12 recorders, find the probability that 8 have 0 defects, 3 have 1 defect, and 1 has 2 defects.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

Three out of 4 American adults under the age of 35 have eaten pizza for breakfast. If a random sample of 20 adults under age 35 is selected, find the probability that exactly 16 have eaten for breakfast.

• Binomial Distribution

• Multinomial Distribution

• Poisson Distribution

• Hypergeometric Distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4