Let X denote the number of Canon digital cameras sold during a particular week by a certain store. The pmf of X is

x | 0 1 2 3 4

pX(x) | .1 .2 .3 .25 .15

Sixty percent of all customers who purchase these cameras

also buy an extended warranty. Let Y denote the number of

purchasers during this week who buy an extended warranty.

a. What is P(X =4, Y = 2)? [Hint: This probability equals

P(Y = 2 I X = 4) * P(X = 4); now think of the four purchases

as four trials of a binomial experiment, with success

on a trial corresponding to buying an extended warranty.]

b. Calculate P(X = Y).

c. Determine the joint pmf of X and Y and then the marginal

pmf of Y.

rx and sx

step-by-step explanation:

the correct answer would be the third option

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.