1. You were told that the mean score on a statistic exam is 75 with the scores normally distributed. In addition, you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%. a) What is the probability of a score between 90 and 95? b) What is the probability of a score greater than 95? c) What is the probability of a score lower than 55?
1. You were told that the mean score on a statistic exam is 75 with the scores normally distributed. In addition, you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%. a) What is the probability of a score between 90 and 95? b) What is the probability of a score greater than 95? c) What is the probability of a score lower than 55?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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chapter: NORMAL AND SAMPLING DISTRIBUTION

Transcribed Image Text:1. You were told that the mean score on a statistic exam is 75 with the scores normally
distributed. In addition, you know the probability of a score between 55 and 60 is 4.41%
and that the probability of a score greater than 90 is 6.68%.
a) What is the probability of a score between 90 and 95?
b) What is the probability of a score greater than 95?
c) What is the probability of a score lower than 55?
d) The middle 86.64% of the students will score between which two scores?
e) The middle 95.46% of the students will score between which two scores?
2. Currently there are 25 secondary schools in Miri including private, technical and
vocational. The numbers of teachers in each of these schools are as follows:
135
102
120
120
112
128
104
78
105
114
144
98
90
145
122
148
115
155
68
112
98
88
124
94
90
Assuming the population mean of secondary school teachers is normal, what is the
probability that the mean number of secondary school teachers is less than 100?
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