a) Verify that this is a valid density function. b) Determine the probability that the weight is smaller than 24 ounces.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Nestle is aware that the weight of the Bear Brand product in the box varies slightly from box to
box. In fact, considerable historical data has allowed the determination of the density function that
describes the probability structure for the weight (in ounces). In fact, letting X be the random
variable weight, in ounces, the density function can be described as
23.75 ≤ x ≤ 26.25
f(x)=5
0,
elsewhere
a) Verify that this is a valid density function.
b) Determine the probability that the weight is smaller than 24 ounces.
Transcribed Image Text:Nestle is aware that the weight of the Bear Brand product in the box varies slightly from box to box. In fact, considerable historical data has allowed the determination of the density function that describes the probability structure for the weight (in ounces). In fact, letting X be the random variable weight, in ounces, the density function can be described as 23.75 ≤ x ≤ 26.25 f(x)=5 0, elsewhere a) Verify that this is a valid density function. b) Determine the probability that the weight is smaller than 24 ounces.
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