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.

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orchestra answered 1 year ago

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