Let X denote the length (in seconds) of the next smile of a ran- domly selected 8-week old baby. Suppose that X is uniformly distributed on the interval [0, 23]. (a) What is the probability that the next smile of a randomly selected 8-week old baby is between 15 and 25 seconds in length? (b) What is the moment generating function M(t) of X? No work is required for this part. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Let X denote the length (in seconds) of the next smile of a ran-
domly selected 8-week old baby. Suppose that X is uniformly distributed
on the interval [0, 23].
(a) What is the probability that the next smile of a randomly selected
8-week old baby is between 15 and 25 seconds in length?
(b) What is the moment generating function M(t) of X? No work is
required for this part.
2.
Transcribed Image Text:Let X denote the length (in seconds) of the next smile of a ran- domly selected 8-week old baby. Suppose that X is uniformly distributed on the interval [0, 23]. (a) What is the probability that the next smile of a randomly selected 8-week old baby is between 15 and 25 seconds in length? (b) What is the moment generating function M(t) of X? No work is required for this part. 2.
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