Prepare a probability distribution then find the mean, variance and standard deviation for the courses completed by the students in a certain college.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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1. Prepare a probability distribution then find the mean, variance and standard
deviation for the courses completed by the students in a certain college.
Number of Students (X)
Course
Tourism
285
HRM
460
Business Administration
152
Mass Communication
185
Architecture and Engineering
98
1,180
Total
2. Results of a study conducted to determine the water consumptions in number of
cubic meters of households in a subdivision along with the corresponding
probabilities are show below. Find the mean, variance and standard deviation.
Number of
48
50
52
54
56
cubic meters
|().
Probability P(X)
0.25
0.30
0.18
0.15
0.12
3. The number of inquiries received per day by the Office of Admissions ina certain
university is shown below. Find the mean, variance and standard deviation.
Number of
22
23
24
25
26
27
Inquiries (X)
Probability
P(X)
X. P(X)
X2 . P(X)
0.08
0.19
0.36
0.25
0.07
0.05
Transcribed Image Text:1. Prepare a probability distribution then find the mean, variance and standard deviation for the courses completed by the students in a certain college. Number of Students (X) Course Tourism 285 HRM 460 Business Administration 152 Mass Communication 185 Architecture and Engineering 98 1,180 Total 2. Results of a study conducted to determine the water consumptions in number of cubic meters of households in a subdivision along with the corresponding probabilities are show below. Find the mean, variance and standard deviation. Number of 48 50 52 54 56 cubic meters |(). Probability P(X) 0.25 0.30 0.18 0.15 0.12 3. The number of inquiries received per day by the Office of Admissions ina certain university is shown below. Find the mean, variance and standard deviation. Number of 22 23 24 25 26 27 Inquiries (X) Probability P(X) X. P(X) X2 . P(X) 0.08 0.19 0.36 0.25 0.07 0.05
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