(2 points) Round answers to 6 decimal places or type exact answers. A baker blen
ID: 3066008 • Letter: #
Question
(2 points) Round answers to 6 decimal places or type exact answers. A baker blends 575 raisins into a dough and makes 520 cookies. The probability of a raisin being in a randomly picked cookie is 1/520. Use the Poisson distribution to compute the following probabilities What is the probability that a randomly picked cookie will have no raisins? What is the probability that a randomly picked cookie will have exactly 1 raisin? What is the probability that a randomly picked cookie will have exactly 3 raisins? What is the probability that a randomly chosen cookie will have at least two raisins in it?Explanation / Answer
Solution:- n = 575 , p = 1/520 = 0.0019
= n*p = 575*0.0019 = 1.0925
=> Poisson distribution Formula : (e^-*^x)/x!
a) P(x = 0) = 0.335380
b) P(x = 1) = 0.366399
c) P(X = 3) = 0.072886
4) P(x 2) = 0.298224
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