Answered: The diameter X of an electrical cable…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.3: The Remainder And Factor Theorems; Synthetic Division

Problem 109E

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Question

The diameter X of an electrical cable is a continuous random variable with p.d.f:

The probability that an electrical cable will be produced with a diameter outside the specifications is given by: P = 0.5125 - P (X ≤ 0.5). If 25 electric cables are produced, what is the P (X ≥ 2) out of specification?

] (2x – x?)
3
f (x) =
if 0 <x<1
0 <x<1
if
x < 0 or x >1

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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