The probability that a patient with a heart attack dies of the attack is 4%. Suppose...

The probability that a patient with a heart attack dies of the attack is 4%. Suppose we have 4 patients who suffer a heart attack

a) what is the probability that 2 will survive?

b) what is the probability that all will die?

c) what is the probability that less than 3 will survive?

d) what is the probability that all will survive?

Solutions

Expert Solution

Given:

The probability that patient will die

p(die)= 0.04

The probability that patient will survive is

p(survive) = 1-0.04 = 0.96

Number of patient, n = 4

Here X has binomial distribution

X ~ Binomial (n,p)

Therefore

a) The probability that 2 will survive is 0.0088

b) The probability that all will die is 0.0000

c) The probability that less than 3 will survive is 0.0091

d) The probability that all will survive is 0.8493

orchestra answered 1 year ago

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