Uniform and Normal Distribution Probability Problems

A quiz on probability problems involving uniform and normal distributions, testing statistical understanding and application.

David Miller

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Uniform and Normal Distribution Probability Problems1Marks: 1W4-06. Suppose x is a random variable best described by a uniform probability distribution with c EQUAL 3 and d EQUAL 9. Findthe value of a that makes the following probabilitystatement true: P(3.5 ≤ x ≤ EQUAL 0.5.Choose one answer.a. 6.5b. 4c. 1.2d. 6Answer:a. 6.5Question2Marks: 1W4-13. Suppose x is a uniform random variable with c EQUAL 40 and d EQUAL 70. Find the standard deviation of x.Choose one answer.a. σ EQUAL 8.66b. σ EQUAL 3.03c. σ EQUAL 31.75d. σ EQUAL 1.58Answer:a. σ = 8.66Question3Marks: 1W4-02. Suppose x is a random variable best described by a uniform probability distribution with c EQUAL 10and d EQUAL 90. FindP(x < 42).Choose one answer.a. 0.32b. 0.4c. 0.04d. 0.5Answer:a. 0.32Question4Marks: 1W4-14. Suppose a uniform random variable can be used to describe the outcome of an experiment with outcomesranging from 30to 80. What is the mean outcome of this experiment?Choose one answer.a. 60

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