Question

1. What is the probability that some random value of x in the Exponential Probability Distribution is less than the distribution’s mean: Pr(x < μ | μ)?

a. 63.2%

b. 36.8%

c. 0.0%

d. There is no way to know without first knowing the values of μ and x

2. At what value of x can we say that Pr(X > x | μ) = 0% ?

a. 1

b. 0

c. There is no such value

d. There is no way to know without first knowing the value of μ

3. What is the probability that some random value of x in the Exponential Probability Distribution is greater than the distribution’s mean: Pr(x > μ | μ)?

a. 63.2%

b.36.8%

c. 0.0%

d. There is no way to know without first knowing the values of μ and x

4. How reliable is someone who never gets done what they say they will do?

a. Highly reliable

b. Neither reliable nor unreliable

c.Highly unreliable

d. It depends on what the actual circumstances are

5. At what value of x can we say that Pr(X > x | μ) = 100% ?

a. 1

b. 0

c. There is no such value

d. There is no way to know without first knowing the value of μ

6. What is the probability that some random value of x in the Exponential Probability Distribution is equal to the distribution’s mean: Pr(x = μ | μ)?

a. 63.2%

b. 36.8%

c. 0.0%

d. There is no way to know without first knowing the values of μ and x

7. What is the mathematical relationship between λ, as used in the Poisson Probability Distribution, and m, as used in this section?

a. μ = λ-1

b. λ = μ-1

c. Both of the above

d. λ = μ0.5

8. At what value of x can we say that Pr(X > x | μ) = 50% ?

a. 69.3

b. 30.7

c. 0.693

d. There is no way to know without first knowing the value of μ

9. How reliable is someone who always gets done what they say they will do?

a. Highly reliable

b. Neither reliable nor unreliable

c. Highly unreliable

d. It depends on what the actual circumstances are

10. What is the CV for the Exponential Probability Distribution?

a. 1

b. μ2

c. μ-1

d. There is no way to know without first knowing the value of μ

Answer 1

Answer to question# 1)

Looking at the following plot of exponential distribution we get to know that there are more values below the mean as compared to above mea

P(X<M |M) = 63.2%

.

Answer to question# 2)

X has to be 1 in order to make sure there are no more values above it

.

Answer to question# 3)

based on the graph shared above, the probability of gettng value above mean is less than 50%

The probability of X>x is 36.8%

.

Answer to the question# 4)

That person is Highly unreliable

Thus answer choice c is correct