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Chapter 6: Q. 76 (page 404)

76. Rhubarb Suppose you purchase a bundle of 10bare-root rhubarb plants. The sales clerk tells you that on average you can expect 5%of the plants to die before producing any rhubarb. Assume that the bundle is a random sample of plants. Let Y= the number of plants that die before producing any rhubarb. Use the binomial probability formula to find
P(Y=1). Interpret this result in context.

Short Answer

Expert verified

The chance of getting 1out of 10plants that die before producing any rhubarb is 31.51%.

Step by step solution

01

Given information

An average of 5%of the plants to die before producing any rhubarb. Let Y=the number of plants that die before producing any rhubarb. And to find the value of P(Y=1).

02

Explanation

Given:n=10p=0.05

The Binomial Probability:

P(X=k)=nk脳pk脳(1鈭�p)n鈭�kP(1)=101脳(0.05)1脳(0.95)10鈭�1鈮�0.3151

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