A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1, ..., 7. (Enter your answers as fractions.) (a) What is the value of k? [Hint: P(y) = 1] y = 1 k = (b) What is the probability that at most four forms are required? (c) What is the probability that between three and six forms (inclusive) are required?

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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A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building
permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1, ..., 7. (Enter
your answers as fractions.)
(a) What is the value of k? [Hint:
S P(Y) = 1]
y = 1
k =
(b) What is the probability that at most four forms are required?
(c) What is the probability that between three and six forms (inclusive) are required?
Transcribed Image Text:A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1, ..., 7. (Enter your answers as fractions.) (a) What is the value of k? [Hint: S P(Y) = 1] y = 1 k = (b) What is the probability that at most four forms are required? (c) What is the probability that between three and six forms (inclusive) are required?
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