Find the required probabilities using the exponential density function. The waiting time t (in minutes) for service at the checkout at a grocery store is exponentially distributed with λ=2. Find the probabilities of waiting less than 3 minutes, more than 3 minutes but less than 5 minutes, and at least 3 minutes. (Round your answers to three decimal places.)

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Find the required probabilities using the exponential density function.

The waiting time t (in minutes) for service at the checkout at a grocery store is exponentially distributed with λ=2. Find the probabilities of waiting less than 3 minutes, more than 3 minutes but less than 5 minutes, and at least 3 minutes. (Round your answers to three decimal places.)

Find the required probabilities using the exponential density function
f(t) =te-tA, [0, ∞).
The waiting time t (in minutes) for service at the checkout at a grocery store is exponentially distributed with A = 2. Find
the probabilities of waiting less than 3 minutes, more than 3 minutes but less than 5 minutes, and at least 3 minutes.
(Round your answers to three decimal places.)
(a) less than 3 minutes
(b) more than 3 minutes but less than 5 minutes
(c) at least 3 minutes
Transcribed Image Text:Find the required probabilities using the exponential density function f(t) =te-tA, [0, ∞). The waiting time t (in minutes) for service at the checkout at a grocery store is exponentially distributed with A = 2. Find the probabilities of waiting less than 3 minutes, more than 3 minutes but less than 5 minutes, and at least 3 minutes. (Round your answers to three decimal places.) (a) less than 3 minutes (b) more than 3 minutes but less than 5 minutes (c) at least 3 minutes
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