
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:Suppose that the weight of an newborn fawn is Uniformly distributed between 2.1 and 3.6 kg.
Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when
possible.
a. The mean of this distribution is 2.85
b. The standard deviation is 0.4330
c. The probability that fawn will weigh exactly 3.4 kg is P(x = 3.4) = 0
d. The probability that a newborn fawn will be weigh between 2.7 and 3.5 is P(2.7 <x< 3.5) =
0.5333
e. The probability that a newborn fawn will be weigh more than 3.3 is P(x > 3.3) = 0.2
f. P(x > 2.7 | x < 3.3) = 0.5
g. Find the 19th percentile.
Expert Solution

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Step 1
If X ~U(a,b)
Then
E(X)= b+a/2
V(X)= (b-a)^2/12
19th percentile is equal to 19/100
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