SOLUTION: Suppose that the weight of an newborn fawn is Uniformly distributed between 1.7 and 3.5 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when

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Question 1173129: Suppose that the weight of an newborn fawn is Uniformly distributed between 1.7 and 3.5 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible.
a. The mean of this distribution is
b. The standard deviation is
c. The probability that fawn will weigh exactly 2.1 kg is P(x = 2.1) =
d. The probability that a newborn fawn will be weigh between 2.4 and 2.8 is P(2.4 < x < 2.8) =
e. The probability that a newborn fawn will be weigh more than 2.76 is P(x > 2.76) =
f. P(x > 2 | x < 3.1) =
g. Find the 78th percentile.


Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Previously Posted
Suppose that the weight of an newborn fawn is Uniformly distributed between 1.7 and 3.5 kg.
Uniform Distribution a = 1.7 and b= 3.5
, and
Uniform and Continuous
P(x = 2.1) = 0 Continuous Distribution
P(2.4 < x < 2.8) = .4(5/9) = 2/9
---
P(x > 2.76) = (3.5 - 2.76)(5/9) = .74(5/9)
---
P(x > 2 | x < 3.1) = (3.5-2)(1/.4) |f(x) = 1/(b-a) = 1/(3.5-3.1) = 1/.4
78%
P(x < k) =
k = 1.7 + (.4)(.78)
Wish You the Best in your Studies.

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