(7). tissue, i.e., the tendency of the white blood cells to attack the foreign tissue. The key to reception or rejection is the nature of the antigens attached to the tissue cells. If the antigens of the donor and receiver match, the body will accept the transplanted tissue. The probability of a match in siblings is 0.25. Suppose you need a kidney, and you have 4 siblings. If all siblings offer a kidney, One of the problems encountered in organ transplants is rejection by the body of the transplanted (a). what is the probability that at least one donor's antigens will match? (b). what is the probability that at most 3 donor's antigens will match?

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**Problem (7):**

One of the problems encountered in organ transplants is rejection by the body of the transplanted tissue, i.e., the tendency of the white blood cells to attack the foreign tissue. The key to reception or rejection is the nature of the antigens attached to the tissue cells. If the antigens of the donor and receiver match, the body will accept the transplanted tissue. The probability of a match in siblings is 0.25. Suppose you need a kidney, and you have 4 siblings. If all siblings offer a kidney,

(a) What is the probability that at least one donor’s antigens will match?

(b) What is the probability that at most 3 donor’s antigens will match?
Transcribed Image Text:**Problem (7):** One of the problems encountered in organ transplants is rejection by the body of the transplanted tissue, i.e., the tendency of the white blood cells to attack the foreign tissue. The key to reception or rejection is the nature of the antigens attached to the tissue cells. If the antigens of the donor and receiver match, the body will accept the transplanted tissue. The probability of a match in siblings is 0.25. Suppose you need a kidney, and you have 4 siblings. If all siblings offer a kidney, (a) What is the probability that at least one donor’s antigens will match? (b) What is the probability that at most 3 donor’s antigens will match?
Expert Solution
Step 1

From the provided information,

Number of siblings (n) = 4

The probability of a match in siblings (p) = 0.25

The process follows binomial distribution that is X~B (4, 0.25)

Here X is the number of siblings whose antigen will match.

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