The probability that a patient recovers from a certain type of operation is 0.75. (a) What is the probability that 4 of the next 5 patients who have this operation survive? (b) What is the probability that all of the next 5 patients who have this operation survive?

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The probability that a patient recovers from a certain type of operation is 0.75.
(a) What is the probability that 4 of the next 5 patients who have this operation survive?
(b) What is the probability that all of the next 5 patients who have this operation survive?
Transcribed Image Text:The probability that a patient recovers from a certain type of operation is 0.75. (a) What is the probability that 4 of the next 5 patients who have this operation survive? (b) What is the probability that all of the next 5 patients who have this operation survive?
Expert Solution
Step 1: Introduce the given information

From the given information,

n = 5 

P = 0.75

Using formula, ( Binomial distribution)

P left parenthesis X equals x right parenthesis space equals space C presuperscript n subscript x space P to the power of x left parenthesis 1 minus P right parenthesis to the power of n minus x end exponent

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