4. On the same assumption, find the probability that the mean of a random sample of 5 such motorcycles will be less than 8 years. A. 0.1915 C. 0.4772 D. 0.4875 B. 0.3413 5. On the same assumption, find the probability that the mean of a random sample of 9 such motorcycles will be less than 11 years. A. 0.2257 C. 0.4192 B. 0.3413 D. 0.4332

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
Answer number 4&5
For numbers 1-5. A motorcycle company claims that their latest type of motorcycle
has a mean life of 10 years with a standard deviation of 2 years. Suppose the
distribution of motorcycle lives is approximately normal.
1. Given the assumption is true, find the probability that the randomly selcted
motorcycle will last less than 8 years.
C. 0.3174
D. 0.3413
A. 0.1587
B. 0.1915
2. Given the assumption is true, find the probability that the randomly selected
motorcycle will be greater than 9 years but less than 12 years.
A. 0.1498
B. 0.1915
C. 0.5328
D. 0.3413
3. On the same assumption, find the probability that the randomly selected
motorcycle will be greater than 11 years but less than 14 years.
A. 0.1957
C. 0.4772
D. 0.6687
B. 0.2857
4. On the same assumption, find the probability that the mean of a random
sample of 5 such motorcycles will be less than 8 years.
A. 0.1915
C. 0.4772
D. 0.4875
B. 0.3413
5. On the same assumption, find the probability that the mean of a random
sample of 9 such motorcycles will be less than 11 years.
A. 0.2257
C. 0.4192
B. 0.3413
D. 0.4332
Transcribed Image Text:For numbers 1-5. A motorcycle company claims that their latest type of motorcycle has a mean life of 10 years with a standard deviation of 2 years. Suppose the distribution of motorcycle lives is approximately normal. 1. Given the assumption is true, find the probability that the randomly selcted motorcycle will last less than 8 years. C. 0.3174 D. 0.3413 A. 0.1587 B. 0.1915 2. Given the assumption is true, find the probability that the randomly selected motorcycle will be greater than 9 years but less than 12 years. A. 0.1498 B. 0.1915 C. 0.5328 D. 0.3413 3. On the same assumption, find the probability that the randomly selected motorcycle will be greater than 11 years but less than 14 years. A. 0.1957 C. 0.4772 D. 0.6687 B. 0.2857 4. On the same assumption, find the probability that the mean of a random sample of 5 such motorcycles will be less than 8 years. A. 0.1915 C. 0.4772 D. 0.4875 B. 0.3413 5. On the same assumption, find the probability that the mean of a random sample of 9 such motorcycles will be less than 11 years. A. 0.2257 C. 0.4192 B. 0.3413 D. 0.4332
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