Questions from Calculus


Q: Find Pr (X ≤ 3) when X is a random

Find Pr (X ≤ 3) when X is a random variable whose density function is given in Exercise 3. Exercise 3: f (x) = ¼, 1 ≤ x ≤ 5

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Q: Find Pr (1 ≤ X ) when X is a random

Find Pr (1 ≤ X ) when X is a random variable whose density function is given in Exercise 4. Exercise 4: f (x) = 8/9 x, 0 ≤ x ≤ 3/2

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Q: Suppose that the lifetime X (in hours) of a certain

Suppose that the lifetime X (in hours) of a certain type of flashlight battery is a random variable on the interval 30 ≤ x ≤ 50 with density function f (x) = 1/20, 30 ≤ x ≤ 50. Find the probability th...

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Q: At a certain supermarket, the amount of wait time at the

At a certain supermarket, the amount of wait time at the express lane is a random variable with density function f (x) = 11/[10(x + 1)2], 0 ≤ x ≤ 10. (See Fig....

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Q: The cumulative distribution function for a random variable X on the interval

The cumulative distribution function for a random variable X on the interval 1 ≤ x ≤ 5 is F (x) = ½ √(x – 1)....

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Q: The cumulative distribution function for a random variable X on the interval

The cumulative distribution function for a random variable X on the interval 1 ≤ x ≤ 2 is F (x) = 4/3 – 4/(3x2). Find the corresponding density function.

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Q: Compute the cumulative distribution function corresponding to the density function f (

Compute the cumulative distribution function corresponding to the density function f (x) = 1/5 , 2 ≤ x ≤ 7.

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Q: A random variable X has a uniform density function f (x

A random variable X has a uniform density function f (x) = 15 on 20 ≤ x ≤ 25. (a) Find E (X ) and Var (X ). (b) Find b such that Pr (X ≤ b) = .3.

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Q: Compute the cumulative distribution function corresponding to the density function f (

Compute the cumulative distribution function corresponding to the density function f (x) = ½ (3 - x), 1 ≤ x ≤ 3.

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Q: The time (in minutes) required to complete a certain subassembly

The time (in minutes) required to complete a certain subassembly is a random variable X with the density function f (x) = 1/21 x2, 1 ≤ x ≤ 4. (a) Use f (x) to compute Pr (2 ≤ X ≤ 3). (b) Find the corr...

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