A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible. Morgan and Tim play head-to-head every Tuesday. Suppose that M = the number of basket made by Morgan in a randomly selected match follows an approximately Normal distribution with uM = 39.8 and uM = 5.7. Suppose that T= the number of baskets made by Tim in a randomly selected match follows an approximately Normal distribution with 31.2 and o, = 10.3. Assume that these two random variables are independent and %3D define D = M -T.
A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible. Morgan and Tim play head-to-head every Tuesday. Suppose that M = the number of basket made by Morgan in a randomly selected match follows an approximately Normal distribution with uM = 39.8 and uM = 5.7. Suppose that T= the number of baskets made by Tim in a randomly selected match follows an approximately Normal distribution with 31.2 and o, = 10.3. Assume that these two random variables are independent and %3D define D = M -T.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:ALTERNATE EXAMPLE (page 395)
Who will win?
Combining Normal random variables
PROBLEM:
A match of Hoop Fever gives each player 60 seconds to make as many baskets as possible.
Morgan and Tim play head-to-head every Tuesday. Suppose that M = the number of baskets
made by Morgan in a randomly selected match follows an approximately Normal
distribution with uM = 39.8 and uM = 5.7. Suppose that T= the number of baskets made by
Tim in a randomly selected match follows an approximately Normal distribution with
31.2 and o, = 10.3. Assume that these two random variables are independent and
%3D
%3D
%3D
Hy =
define D = M -T.
(a) Describe the distribution of D.
(b) What is the probability that Morgan will make more baskets than Tim in a randomly
selected match?
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