can someone show me the full solutions for these? i cannot seem to figure out the step by step. 1. Prepare a probability distribution then find the mean, variance and standarddeviation for the courses completed by the students in a certain college.Number of Students (X)CourseTourism285HRM460Business Administration152Mass Communication185Architecture and Engineering981,180Total2. Results of a study conducted to determine the water consumptions in number ofcubic meters of households in a subdivision along with the correspondingprobabilities are show below. Find the mean, variance and standard deviation.Number of4850525456cubic meters|().Probability P(X)0.250.300.180.150.123. The number of inquiries received per day by the Office of Admissions ina certainuniversity is shown below. Find the mean, variance and standard deviation.Number of222324252627Inquiries (X)ProbabilityP(X)X. P(X)X2 . P(X)0.080.190.360.250.070.05

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

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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can someone show me the full solutions for these? i cannot seem to figure out the step by step.

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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