Please help with b and c Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is0123Px(x) 0.1 0.2 0.3 0.25Sixty 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.USE SALTx(a) What is P(X= 4, Y = 2)? [Hint: This probability equals P(Y= 2|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 anextended warranty.] (Round your answer to four decimal places.)P(X= 4, Y = 2) = 0.0518✔40.15(b) Calculate P(X=Y). (Round your answer to four decimal places.)P(X=Y)=(c) Determine the joint pmf of X and Y.(x)(0.6)*(0.6)*-*- Px(x)(x)(0.6) (0.6)*-*- P(x)O (*)(0.6)*(0.4)*P(x)O (*)(0.6)*(0.4)*-*-PX(X)Determine the marginal pmf of Y. (Round your answers to four decimal places.)02YPy(y)D

As per bartleyby policy I answered the 1st three sub-parts......

Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is 0 1 2 4 Px(x) 0.1 0.2 0.3 0.15 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. USE SALT (a) What is P(X= 4, Y = 2)? [Hint: This probability equals PCY= 2|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.] (Round your answer to four decimal places.) P(X= 4, Y = 2) = 0.0518 ✔ 3 0.25 (b) Calculate P(X=Y). (Round your answer to four decimal places.) P(X=Y)= (c) Determine the joint pmf of X and Y. (x)(0.6)*(0.6)*-*- Px(x) (x)(0.6)*(0.6)*-*-PX(X) O (*)(0.6)*(0.4)*-*- P(x) O (*)(0.6) (0.4)*-*- P(x) Determine the marginal pmf of Y. (Round your answers to four decimal places.) 0 2 y Py(y) 4