Question

Consider a random variable x that follows a uniform distribution, with a = 2 and b = 13.

What is the probability that x is less than 5?

a. P(x < 5) = 0.7273

b. P(x < 5) = 0.2727

c. P(x < 5) = 0.13635

d. P(x < 5) = 0.08181

What is the probability that x is between 3 and 6?

a. P(3 ≤ x ≤ 6) = 0.0886275

b. P(3 ≤ x ≤ 6) = 0.10908

c. P(3 ≤ x ≤ 6) = 0.2727

d. P(3 ≤ x ≤ 6) = 0.149985

Consider the random variable X that follows an exponential distribution, with μ = 20.

The standard deviation of X is σ =------------------- .

The parameter of the exponential distribution of X is λ =---------------------- .

What is the probability that X is less than 10?

a. P(X < 10) = 0.7981

b. P(X < 10) = 0.4908

c. P(X < 10) = 0.3935

d. P(X < 10) = 0.2212

What is the probability that X is between 30 and 35?

a. P(30 < X < 35) = 0.3262

b. P(30 < X < 35) = 0.1738

c. P(30 < X < 35) = 0.2231

d. P(30 < X < 35) = 0.0493

Answer #1

The exponential distribution
Consider the random variable X that follows an exponential
distribution, with μ = 40.
The standard deviation of X is σ = a. 40 b.0.0006 c. 6.321 d.
0.0250 .
The parameter of the exponential distribution of X is λ = a.40
b. 0.0250 b. 6.321 d. 0.0006 .
What is the probability that X is less than 27?
P(X < 27) = 0.2212
P(X < 27) = 0.5034
P(X < 27) = 0.4908
P(X < 27)...

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