The amount of time high school students spend each weeknight doing homework is normally distributed with a mean of 52.5 minutes and a standard deviation of 5.1 minutes. Find indicated probability of time spent each weeknight doing homework. 45. A randomly selected high school student spends at least 40 minutes 46. A randomly selected high school student spends at most 60 minutes 47. A randomly selected high school student spends between 45 minutes and 65 minutes

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.CR: Chapter 13 Review
Problem 58CR
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45,46,47
The amount of time high school students spend each weeknight doing homework is normally
distributed with a mean of 52.5 minutes and a standard deviation of 5.1 minutes. Find
indicated probability of time spent each weeknight doing homework.
45. A randomly selected high school student spends at least 40 minutes
46. A randomly selected high school student spends at most 60 minutes
47. A randomly selected high school student spends between 45 minutes and 65 minutes
The number of rainy days per year of a certain city is normally distributed with a mean of 92
days with a standard deviation of 4.8 days. Find the indicated probability.
48. Find the probability that a randomly selected year will have at most 100 rainy days.
49. Find the probability that a randomly selected year will have at least 85 rainy days.
50. Find the probability that a randomly selected year will have between 82 and 98 rainy days.
Choices for 36-50:
A) 0.1003
AC) 0.1250
CD) 0.9221
B) 0.8324
AD) 0.2611
CE) 0.3099
GSE Algebra IIB Week 14
C) 0.9236
AE) 0.9279
DE) 0.3854
D) 0.9292
BC) 0.8756
ABC) 0.9904
Page 20 of 26
E) 0.2877
BD) 0.9929
ABD) 0.2087
AB) 0.1872
BE) 0.9525
ABE) 0.6664
Transcribed Image Text:The amount of time high school students spend each weeknight doing homework is normally distributed with a mean of 52.5 minutes and a standard deviation of 5.1 minutes. Find indicated probability of time spent each weeknight doing homework. 45. A randomly selected high school student spends at least 40 minutes 46. A randomly selected high school student spends at most 60 minutes 47. A randomly selected high school student spends between 45 minutes and 65 minutes The number of rainy days per year of a certain city is normally distributed with a mean of 92 days with a standard deviation of 4.8 days. Find the indicated probability. 48. Find the probability that a randomly selected year will have at most 100 rainy days. 49. Find the probability that a randomly selected year will have at least 85 rainy days. 50. Find the probability that a randomly selected year will have between 82 and 98 rainy days. Choices for 36-50: A) 0.1003 AC) 0.1250 CD) 0.9221 B) 0.8324 AD) 0.2611 CE) 0.3099 GSE Algebra IIB Week 14 C) 0.9236 AE) 0.9279 DE) 0.3854 D) 0.9292 BC) 0.8756 ABC) 0.9904 Page 20 of 26 E) 0.2877 BD) 0.9929 ABD) 0.2087 AB) 0.1872 BE) 0.9525 ABE) 0.6664
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