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# Grandma is trying out a new recipe for raisin bread.Each ISBN: 9780073401331 38

## Solution for problem 16E Chapter 4.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 16E

Grandma is trying out a new recipe for raisin bread.Each batch of bread dough makes three loaves ,and each loaf contains 20 slices of bread.

a. If she puts 100 raisins into a batch of dough, what is the probability that a randomly chosen slice of bread contains no raisins?

b. If she puts 200 raisins into a batch of dough, what is the probability that a randomly chosen slice of bread contains 5 raisins?

c. How many raisins must she put in so that the probability that a randomly chosen slice will have no raisins is 0.01?

Step-by-Step Solution:

Step 1of 3

Here given each batch of bread dough makes 3 loaves

Each loaf contains 20 slices

So No.of slices for one batch is 3(20)=60

Let X is no.of raisins in the bread

Here X poison( )

The pmf of poisson distribution is P(x)= ; x=0,1,2,...........

Step 2 of 3</p>

a) Here we have to find the probability that a randomly chosen slice of  bread have no raisins if she put 100 raisins in the batch of dough

So here =1.67

Now P(x=0)= =0.1882

Hence if she put 100 raisins in the batch of dough

the probability that a randomly chosen slice of  bread have no raisins is 0.1882

Step 3 of 3

##### ISBN: 9780073401331

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