Semester 2, Unit 6 Probability Distribution Review

#1 The probability distribution shows the probability owning multiple vehicles among 100 families polled. What is the probability that a family has more than 3 cars among the 100 families polled?

• 0.05

• 0.1

• 2/5

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#2 Use the probability distribution table to answer the question. What is P(X≥2)?

• 0.12

• 0.21

• 0.8

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#3 What is the correct probability for P(1) as a decimal?

• 0.15

• 30

• 200

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#4 Trina has two spinners. One Spinner has 4 equal sections that are numbered 1-4. The other spinner has 5 equal sections that are numbered 1-5. Trina spins both spinners at the same time.

       The random variable X is the sum of the numbers on which the spinners land. What is P(5 ≤X≤8)?

#5 A veterinarian is using a new vaccine for cats. The vaccine has a 10% probability of causing side effects. In which distributions does the variable X have a binomial distribution? Select each correct answer.

• When the vaccine is given to six cats, X is the number of cats that do not have any side effects.

• When the vaccine is given to three cats, X is the number of cats that have side effects.

• When the vaccine is given to multiple cats, X is the number of cats that receive the vaccine until one of them has side effects.

• When the vaccine is given to multiple cats, X is the total number of cats that receive the vaccine.

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#6 Use the probability distribution graph to answer the question. If P (X ≥ a)=0.5, what is the value of a?

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#7 The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of 25 grams. What is the z-score of an orange that has a mass of 259 grams. (Use the drawing tools to show your work.)

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#8 The heights of the children at a summer camp are normally distributed with a mean of 54 inches and a standard deviation of 2.4 inches. What is the height of a child with a z-score of 1.5? Give your answer rounded to the nearest tenth. (Use the drawing tools to show your work.)

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