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Uniform and Normal Distribution Probability Problems

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

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    Uniform and Normal Distribution Probability Problems 1 Marks: 1 W4 - 06. Suppose x is a random variable best described by a uniform probability distribution with c EQUAL 3 and d EQUAL 9. Find the value of a that makes the following probability statement true: P(3.5 ≤ x ≤ EQUAL 0.5. Choose one answer. a. 6.5 b. 4 c. 1.2 d. 6 Answer: a. 6.5 Question 2 Marks: 1 W4 - 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 8.66 b. σ EQUAL 3.03 c. σ EQUAL 31.75 d. σ EQUAL 1.58 Answer: a. σ = 8.66 Question 3 Marks: 1 W4 - 02. Suppose x is a random variable best described by a uniform probability distribution with c EQUAL 10 and d EQUAL 90. Find P(x < 42). Choose one answer. a. 0.32 b. 0.4 c. 0.04 d. 0.5 Answer: a. 0.32 Question 4 Marks: 1 W4 - 14. Suppose a uniform random variable can be used to describe the outcome of an experiment with outcomes ranging from 30 to 80. What is the mean outcome of this experiment? Choose one answer. a. 60

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