Question

(a) Determine P(X=3,Y=3), i.e., p(3,3). (Round your answer to four decimal places.) P(X=3,Y=3)=

(b) Determine p(4,11). (Round your answer to four decimal places.) p(4,11)=

Answer 1

Without a joint probability distribution for X and Y, we can only calculate P(X=3, Y=3) if they are independent; the calculation is 0.1927 * 0.1927 which equals 0.0371 after rounding. There is insufficient data to calculate p(4,11).

Step-by-step explanation:

To solve part (a), we can use the binomial probability formula to compute P(X=3, Y=3). However, based on the information given, it seems there might be some confusion. The question asks for P(X=3, Y=3), but the details provided only give individual probabilities for X and no joint probability distribution for X and Y together. Without additional information, we'll assume X and Y are independently distributed. Thus,

P(X=3, Y=3) = P(X=3) * P(Y=3). Given P(X=3) is 0.1927, and assuming P(Y=3) is the same (due to a lack of provided values for Y), we would calculate:

P(X=3, Y=3) = 0.1927 * 0.1927

Now, rounding to four decimal places:

P(X=3, Y=3) = 0.0371 (rounded)

For part (b), we don't have enough information to calculate p(4,11) as no probability distribution for the pair (X,Y) is given, and the value for p(4,11) is not in the provided details.