a) Suppose that 60 students are enrolled in a statistics class and the following are the test scores received by them: 12 11 12 95 82 10 93 11 10 18 76 10 10 92 70 12 18 10 11 12 11 13 12 78 11 78 84 99 14 11 10 13 12 90 11 82 90 10 81 13 75 84 16 15 18 17 15 14 92 85 93 10 90 99 11 10 80 82 13 12 (a) Construct a frequency distribution taking a suitable class interval. (b) Present the data graphically and comment. (c) Calculate the mean and modal scores and comment.
a) Suppose that 60 students are enrolled in a statistics class and the following are the test scores received by them:
12 11 12 95 82 10 93 11 10 18 76 10
10 92 70 12 18 10 11 12 11 13 12 78
11 78 84 99 14 11 10 13 12 90 11 82
90 10 81 13 75 84 16 15 18 17 15 14
92 85 93 10 90 99 11 10 80 82 13 12
(a) Construct a frequency distribution taking a suitable class interval.
(b) Present the data graphically and comment.
(c) Calculate the mean and modal scores and comment.
b) Calculate the standard deviation and CV for the age distribution presented below:
Age: 09.5-12.5 12.5-15.5 15.5-18.5 18.5-21.5 21.5-24.5 24.5-27.5 27.5-30.5
Frequency: 3 14 23 12 8 4 1
Explain your results2. a) A pair of dice is thrown. Find the probability that sum of the points on the two dice is 10 or greater if a 6
appears on the first die.
b) Given the following density
0 otherwise
( ) (1 ) 0 1
2
,
f x x , x
Find E(X) and V(X).
c) The probability that a married man watches a certain TV show is 0.5 and that his wife watches the show is 0.7.
The probability that a man watches the show, given that his wife does, is 0.8. Find
(a) The probability that a married couple watches the show.
(b) The probability that a wife watches the show given that her husband does.
(c) The probability that at least one of the partners will watch the show.
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