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?
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?
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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