5. A gardener buys a package of seeds. Seventy-four percent of seeds of this type germinate. The gardener plants 100 seeds. a. Use the binomial distribution to compute the probability that 76 or more seeds germinate. b. Verify that a normal distribution may be used to approximate this binomial distribution. c. Use the normal approximation to compute the probability that i. 76 or more seeds germinate ii. More than 76 seeds germinate iii. At most 70 seeds germinate iv. Less than 70 seeds germinate

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. A gardener buys a package of seeds. Seventy-four percent of seeds of this type germinate. The
gardener plants 100 seeds.
a. Use the binomial distribution to compute the probability that 76 or more seeds germinate.
b. Verify that a normal distribution may be used to approximate this binomial distribution.
c. Use the normal approximation to compute the probability that
i. 76 or more seeds germinate
ii. More than 76 seeds germinate
iii. At most 70 seeds germinate
iv. Less than 70 seeds germinate
Transcribed Image Text:5. A gardener buys a package of seeds. Seventy-four percent of seeds of this type germinate. The gardener plants 100 seeds. a. Use the binomial distribution to compute the probability that 76 or more seeds germinate. b. Verify that a normal distribution may be used to approximate this binomial distribution. c. Use the normal approximation to compute the probability that i. 76 or more seeds germinate ii. More than 76 seeds germinate iii. At most 70 seeds germinate iv. Less than 70 seeds germinate
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