Question

The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by f(x) = 10 / x^2, x > 10 = 0, x <= 10 a) Find P(X > 20) b) What is the CDF of X? c) What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?

          The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by

f(x) = 10 / x^2, x > 10
= 0, x <= 10

a) Find P(X > 20)
b) What is the CDF of X?
c) What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?

The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by

f(x) = 10 / x^2, x > 10
= 0, x <= 10

a) Find P(X > 20)
b) What is the CDF of X?
c) What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?

Added by Cassandra K.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

10/22/2021

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The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by f(x) = 10/x^2, x > 10; = 0, x <= 10. a) Find P(X > 20) b) What is the CDF of X? c) What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?