Question 2: A student is required by the mathematics department to submit one, two, three or four forms in applying for a project. Let Y = the number of forms required of the next applicant. The probability that y forms are required is given as: p(y) = 0.1* y for y = 1, ..., 4. Show the steps for all your calculations. a) What is the probability that at least 2 forms are required? b) What is the probability that between two and four forms (inclusive) are required? c) Calculate the expected value E(X). d) Calculate the variance V(X).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Question 2:
A student is required by the mathematics department to submit one, two, three or four
forms in applying for a project.
Let Y = the number of forms required of the next applicant. The probability that y forms are
required is given as:
p(y) = 0.1* y
for y = 1, . . . ,
••., 4.
Show the steps for all your calculations.
What is the probability that at least 2 forms are required?
b)
What is the probability that between two and four forms (inclusive) are required?
c)
Calculate the expected value E(X).
d)
Calculate the variance V(X).
Transcribed Image Text:Question 2: A student is required by the mathematics department to submit one, two, three or four forms in applying for a project. Let Y = the number of forms required of the next applicant. The probability that y forms are required is given as: p(y) = 0.1* y for y = 1, . . . , ••., 4. Show the steps for all your calculations. What is the probability that at least 2 forms are required? b) What is the probability that between two and four forms (inclusive) are required? c) Calculate the expected value E(X). d) Calculate the variance V(X).
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