Question

4. Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x) = { 1/20 e^{-x/20} if 0 ? x < ?, 0 otherwise. What is the probability that, of twelve such radios, at least two last more than 10 years?

Name: 4. Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x) = 1/20 e^-x/20 if 0 ? x < ?, 0 otherwise. What is the probability that, of twelve such radios, at least two last more than 10 years?
Uploaded: 2022-06-16T16:55:40-08:00
Duration: 6 min 32 s
Channel: Ahmad Reda
Description: 4. Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x) = 1/20 e^-x/20 if 0 ? x < ?, 0 otherwise. What is the probability that, of twelve such radios, at least two last more than 10 years?

          4. Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x) = { 1/20 e^{-x/20} if 0 ? x < ?, 0 otherwise. What is the probability that, of twelve such radios, at least two last more than 10 years?

4. Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x) = 1/20 e^-x/20 if 0 ? x < ?, 0 otherwise. What is the probability that, of twelve such radios, at least two last more than 10 years?

Added by Nicholas A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ahmad Reda

06/16/2022

Step 1

Given that the probability density function is f(x) = 1/397 for 0 < x < 1, we need to find the probability that X > 10 years. This can be calculated by integrating f(x) from 10 to 1: ∫(1/397)dx from 10 to 1 = (1/397) * (1 - 10) = 1/397 * (-9) = -9/397 Show more…

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Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f(x) = { 1/20 e^(-x/20) if 0 ≤ x < ∞; 0 otherwise. What is the probability that, of twelve such radios, at least two last more than 10 years?