Question 2. Normal Distributions [ 1 It is known that the average time spent by a tourist at Eiffel Tour is normally distributed random variable with mean µ = 96 (minutes) and variance o² =289 (b) Find the probability that the spent is between 80 and 100 minutes. (c) What proportion of SAT scores are either less than 85 or more than 110 minutes? (d) Determine the symmetric interval around the mean within which is 92% of X.

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 7E
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Question 2. Normal Distributions [
It is known that the average time spent by a tourist at Eiffel Tour is normally distributed random
variable with mean μ = 96 (minutes) and variance o² =289
(b) Find the probability that the spent is between 80 and 100 minutes.
(c) What proportion of SAT scores are either less than 85 or more than 110 minutes?
(d) Determine the symmetric interval around the mean within which is 92% of X.
Transcribed Image Text:Question 2. Normal Distributions [ It is known that the average time spent by a tourist at Eiffel Tour is normally distributed random variable with mean μ = 96 (minutes) and variance o² =289 (b) Find the probability that the spent is between 80 and 100 minutes. (c) What proportion of SAT scores are either less than 85 or more than 110 minutes? (d) Determine the symmetric interval around the mean within which is 92% of X.
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