Question

PLEASE HELP ASAP

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1) Alex is in a hurry to get to work and is rushing to catch the bus. She knows that the bus arrives every six minutes during rush hour, but does not know the exact times the bus is due. She realizes that from the time she arrives at the stop, the amount of time that she will have to wait follows a uniform distribution with a lower bound of 0 minutes and an upper bound of six minutes. What is the probability that she will have to wait more than two minutes?

Answer Choices:

0.6667

0.1667

0.3333

1.0000

2) It is known that the length of a certain product X is normally distributed with μ = 20 inches. How is the probability P(X < 20) related to P(X < 16)?

Group of answer choices:

P(X < 20) is greater than P(X < 16).

P(X < 20) is smaller than P(X < 16).

P(X < 20) is the same as P(X < 16).

No comparison can be made with the given information.

3. An investment consultant tells her client that the probability of making a positive return with her suggested portfolio is 0.8849. What is the risk, measured by standard deviation that this investment manager has assumed in her calculation if it is known that returns from her suggested portfolio are normally distributed with a mean of 6%?

Group of answer choices:

5%

1.28%

6.00%

10.0%

4. Suppose that the continuous random variable G follows a standard normal distribution. Find the critical value of z value such that P(G ≤ z) = 0.9082.

Group of answer choices

z = 1.33

z = −1.33

z = 0.1814

z = 0.8186

THANK YOU

Answer 1