For numbers 6- 10, refer to the following problem. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard deviation of 4 minutes. 6. What is the corresponding z-score of 12.5 minutes? A. 0.63 B. 0.62 C. -0.62 D. -0.63 7. What is the probability that a student completes the physical fitness in less than 14 minutes? A. 40.52% B. 40.13% C. 39.74% D. 39.36% 8. What is the longest time to complete the test of a student whose time belongs to the middle 60% of all recorded times? A. 11.64 min B. 16 min C. 17.53 min D. 18.36 min 9. If the students who get the fastest 5% completion times will be exempted from the additional gym workout session, what is the slowest time that a student can have to qualify for the exemption? A. 8.40 min B. 8.42 min C. 8.44 min D.8.46 min 10. What is the fastest completion time of the students who belong to the longest 25% of all completion times? A. 17.68 min B. 17.66 min C. 17.64 min D. 17.62 min

For numbers 6- 10, refer to the following problem. The time it takes for Grade 11 students in a certain school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard deviation of 4 minutes. 6. What is the corresponding z-score of 12.5 minutes? A. 0.63 B. 0.62 C. -0.62 D. -0.63 7. What is the probability that a student completes the physical fitness in less than 14 minutes? A. 40.52% B. 40.13% C. 39.74% D. 39.36% 8. What is the longest time to complete the test of a student whose time belongs to the middle 60% of all recorded times? A. 11.64 min B. 16 min C. 17.53 min D. 18.36 min 9. If the students who get the fastest 5% completion times will be exempted from the additional gym workout session, what is the slowest time that a student can have to qualify for the exemption? A. 8.40 min B. 8.42 min C. 8.44 min D.8.46 min 10. What is the fastest completion time of the students who belong to the longest 25% of all completion times? A. 17.68 min B. 17.66 min C. 17.64 min D. 17.62 min

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

100%

C. 3.46
D. 2.58
For numbers 6 - 10, refer to the following problem. The time it takes for Grade 11 students in a certain
school to complete a physical fitness test is normally distributed with mean 15 minutes and a standard
deviation of 4 minutes.
6. What is the corresponding z-score of 12.5 minutes?
A. 0.63
B. 0.62
C. -0.62
D. -0.63
7. What is the probability that a student completes the physical fitness in less than 14 minutes?
A. 40.52%
B. 40.13%
C. 39.74%
D. 39.36%
8. What is the longest time to complete the test of a student whose time belongs to the middle
60% of all recorded times?
A. 11.64 min
B. 16 min
C. 17.53 min
D. 18.36 min
9. If the students who get the fastest 5% completion times will be exempted from the additional
gym workout session, what is the slowest time that a student can have to qualify for the
exemption?
A. 8.40 min
B. 8.42 min
C. 8.44 min
D. 8.46 min
10. What is the fastest completion time of the students who belong to the longest 25% of all
completion times?
A. 17.68 min
B. 17.66 min
C. 17.64 min
D. 17.62 min

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