EXERCISE 3.6 Winter lasts from December 21 through March 21. The average win- er temperature in Boston is Normally distributed with mean 32.5° F and stan- dard deviation = 1.59° F. In New York City, the average winter temperature is Normally distributed with mean μ = 35.4 °F and standard deviation σ = 2.05 F (a) What is the probability that the average winter temperature in Boston this com- ing winter will be above freezing (32 ° F)? (b) Assume that average winter temperatures in Boston and New York are inde- pendent. What is the probability that the average temperature in Boston in the coming winter will be higher than in New York? (c) Do you think the independence assumption above is reasonable?

EXERCISE 3.6 Winter lasts from December 21 through March 21. The average win- er temperature in Boston is Normally distributed with mean 32.5° F and stan- dard deviation = 1.59° F. In New York City, the average winter temperature is Normally distributed with mean μ = 35.4 °F and standard deviation σ = 2.05 F (a) What is the probability that the average winter temperature in Boston this com- ing winter will be above freezing (32 ° F)? (b) Assume that average winter temperatures in Boston and New York are inde- pendent. What is the probability that the average temperature in Boston in the coming winter will be higher than in New York? (c) Do you think the independence assumption above is reasonable?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...

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