Question

Suppose a random variable, x, has a uniform distribution with a = 9 and b = 19. a. Calculate P(12.5 ? x ? 17). b. Determine P(x < 14). c. Compute the mean, ?, and the standard deviation, ?, of this random variable. d. Determine the probability that x is in the interval (? ± 3?).

          Suppose a random variable, x, has a uniform distribution with a = 9 and b = 19.
a. Calculate P(12.5 ? x ? 17).
b. Determine P(x < 14).
c. Compute the mean, ?, and the standard deviation, ?, of this random variable.
d. Determine the probability that x is in the interval (? ± 3?).

Suppose a random variable, x, has a uniform distribution with a = 9 and b = 19.
a. Calculate P(12.5 ? x ? 17).
b. Determine P(x < 14).
c. Compute the mean, ?, and the standard deviation, ?, of this random variable.
d. Determine the probability that x is in the interval (? ± 3?).

Added by David K.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/06/2023

Step 1

To calculate P(12.5 < X ≤ 17), we can use the formula for the probability of a continuous uniform distribution: P(a ≤ X ≤ b) = (b - a) / (B - A) where A and B are the lower and upper bounds of the distribution, and a and b are the lower and upper bounds of the Show more…

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Suppose a random variable, x, has a uniform distribution with a = 9 and b = 19. a. Calculate P(12.5 ≤ x ≤ 17). b. Determine P(x < 14). c. Compute the mean, μ, and the standard deviation, σ, of this random variable. d. Determine the probability that x is in the interval (μ ± 3σ).