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 two and six forms (inclusive) are required? (d) Could p(y) = . for y = 1, ..., 7 be the pmf of Y? No because ·Ź p(y) = 141

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 two and six forms (inclusive) are required? (d) Could p(y) = . for y = 1, ..., 7 be the pmf of Y? No because ·Ź p(y) = 141

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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