xercise 4. A certain species of plant always has either three or five leaves. The number is ndom, with P(3 leaves) = 0.4 and P(5 leaves) = 0.6. Each plant has a flower which, randomly, either open or closed, with probabilities P(open) = 0.8 and P(closed) = 0.2. A botanist collects 00 randomly chosen plants from this species and finds the following distribution of traits: closed оpen 3 leaves| N3,0open N3,closed 5 leaves N5,0open N5,closed a) Assuming the two traits are independent, determine the expectations of the counts N3,open, N3,closed, N5,open; and N5,closed in the table. b) Determine an approximate value for the probability P(N3.open > 340).

xercise 4. A certain species of plant always has either three or five leaves. The number is ndom, with P(3 leaves) = 0.4 and P(5 leaves) = 0.6. Each plant has a flower which, randomly, either open or closed, with probabilities P(open) = 0.8 and P(closed) = 0.2. A botanist collects 00 randomly chosen plants from this species and finds the following distribution of traits: closed оpen 3 leaves| N3,0open N3,closed 5 leaves N5,0open N5,closed a) Assuming the two traits are independent, determine the expectations of the counts N3,open, N3,closed, N5,open; and N5,closed in the table. b) Determine an approximate value for the probability P(N3.open > 340).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...

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