Question: question 3 (6 marks) Suppose that the random variable x has an exponential distribution with = 3. Required: a) Find the probability that x assumes

question 3 (6 marks)

Suppose that the random variable

x

has an exponential distribution with = 3.

Required:

a) Find the probability that

x

assumes a value more than three standard deviations

from .

(2 marks)

b) Find the probability that

x

assumes a value less than one standard deviation from

.

(2 marks)

c) Find the probability that

x

assumes a value within a half standard deviation of .

(2 marks)

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