Suppose that X and Y are independent random variables from binomial experiments where n = 4 in both cases but the probability of success is p = 0.25 for X and p = 0.5 for Y . Calculate the probability of the events (a) {X = 1, Y = 2}, (b) {X + Y = 1}.

(a) The value of P (X = 1, Y = 2) is 0.1583.

(b) The value of P (X + Y = 1) is 0.1055.

Step-by-step explanation:

It is provided that:

The variables X and Y are independent random variables.

The probability mass function of a Binomial distribution is:

(a)

Compute the value of P (X = 1, Y = 2) as follows:

; Independent

Thus, the value of P (X = 1, Y = 2) is 0.1583.

(b)

Compute the value of P (X + Y = 1) as follows:

Thus, the value of P (X + Y = 1) is 0.1055.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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