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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EXERCISE 3.6 Winter lasts from December 21 through March 21. The average win-
ter temperature in Boston is Normally distributed with mean μ = 32.5° F and stan-
dard deviation o = 1.59° F. In New York City, the average winter temperature is
Normally distributed with mean = 35.4 ° F and standard deviation o = 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 FI
Transcribed Image Text:EXERCISE 3.6 Winter lasts from December 21 through March 21. The average win- ter temperature in Boston is Normally distributed with mean μ = 32.5° F and stan- dard deviation o = 1.59° F. In New York City, the average winter temperature is Normally distributed with mean = 35.4 ° F and standard deviation o = 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 FI
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