1) Define a random variable in words. (e.g. X = number of heads observed) 2) Specify...

1) Define a random variable in words. (e.g. X = number of heads observed)

2) Specify the distribution of the random variable including identifying the value(s) of any

parameter(s). (e.g. X ∼ Binomial(10.5))

3) State the desired probability in terms of your random variable (e.g. P(X < 3)).

4) Calculate the desired probability (e.g. P(X < 3) = .055).

[Note: You may need more than 1 random variable per question.]

1. If the amount of time a lightbulb lasts in thousands of hours is a random variable with

an exponential distribution with θ = 4. Find the probability that

(a) the lightbulb will last at least 2000 hours.

(b) the lightbulb will last at most 3000 hours.

(c) the lightbulb will last between 3500 and 4500 hours

Expert Solution

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orchestra answered 2 years ago

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