A random sample X1;X2; ;X3 of size n is taken from a Poisson distribution with a mean of , 0 < < 1. (a) Show that the maximum likelihood estimator for is X .
(b) Let X equal the number of aws per feet of a used computer tape. Assume that X has a Poisson distribution with a mean of . If 40 observations of X yielded 5 zeros, 7 ones, 12 twos, 9 threes, 5 fours, 1 ve, and 1 six, nd the maximum likelihood estimator of .

75

step-by-step explanation:

0.02040816326

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).