Mom and Grandma are each baking chocolate chip cookies. Each gives you two cookies. One of Mom's cookies has 14 chips in it and the other has 11. Grandma's cookies have 6 and 8 chips.

a. Estimate the mean number of chips in one of Mom's cookies.

b. Estimate the mean number of chips in one of Grandma's cookies.

c. Find the uncertainty in the estimate for Mom's cookies.

d. Find the uncertainty in the estimate for Grandma's cookies.

e. Estimate how many more chips there are on the average in one of Mom's cookies than in one of Grandma's. Find the uncertainty in this estimate.

Step 1 of 6</p>

Let X1 and X2 be the no.of chips in two of mom’s cookies

Let Y1 and Y2 be the no.of chips in two of grandma’s cookies

Let be the mean no.of chips in mom’s cookies

Let be the mean no.of chips in grandma’s cookies

Here Xi poisson( )

Here Yi poisson( )

Given X1 =14, X2 =11, Y1 =6, Y2 =8

Step 2 of 6</p>

a) we have to find the mean no.of chips in mom’s cookies

The mean of the poisson distribution is

Here =

=(14+11)/2

=12.5

Hence the mean no.of chips in mom’s cookies is 12.5

Step 3 of 6</p>

b) we have to find the mean no.of chips in grandma’s cookies

The mean of the poisson distribution is

Here =

=(6+8)/2

=7

Hence the mean no.of chips in grandma’s cookies is 7