Grandma bakes chocolate chip cookies in a batch of 100. she puts 300 chocolate c
ID: 2916415 • Letter: G
Question
Grandma bakes chocolate chip cookies in a batch of 100. she puts 300 chocolate chips into the dough for a batch. When the cookies are done, she gives you one. Let X represent the number of chocolate chips in your cookie. Grandma's grandchildren have been complaining that Grandma is too stingy with the chocolate chips. Grandma agrees to add enough chocolate chips to the dough so that only .1% of the cookies will contain no chocolate chips. How many chocolate chips must she include in a batch of 100 cookies to achieve this?Explanation / Answer
use the poisson distribution
1. x~poi(3) . P(%u22652) = 1 - [P(0)+P(1)] = 1 - e^-3(1+3) = 0.8009 <------
2. we want P(0) %u2264 0.01
set e^-m = 0.01 , m = -ln 0.01 = 4.605,
so for 100 cookies, round up to 461
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