Suppose a random variable, x, has a uniform distribution with a 5 and b 9 a Calculate P(5 5 x 8) b Determine P (x 7) c Compute the mean, , and standard deviation, , of this random variable d Determine the probability that x is in the interval ( 2) ...

a Step 1 Define the probability density function fx Step 2 Define the event of inte ...

Suppose a random variable, x, has a uniform distribution with a = 5 and b = 9.

Question:

Suppose a random variable, x, has a uniform with a = 5 and b = 9.
a. Calculate P(5.5 ≤ x ≤ 8).
b. Determine P (x > 7).
c. Compute the mean, μ, and standard deviation, σ, of this random variable.
d. Determine the probability that x is in the interval (μ ± 2σ). Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...