new surgical procedure is said to be successful 60% of the time. Suppose the ope

Question

new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed ten times and the results are assumed to be independent of one another. What are the probabilities of these events? (Round your answers to three decimal places.)

(a) All ten operations are successful.


(b) Exactly five are successful.

(c) Less than three are successful.

A new surgical procedure is said to be success u 60% of the t mc suppose the operation is performed ton timce nd the results are assumed to be Independent o one another. What are the probabilites of those events Round your answers to three decimal places ) (a) All ten operations are suocesstul. 0006 tb) Exactly tive are sucoesstul (c) Le than three are successful. Need Help? Read ItTak to a Tutor

Explanation / Answer

Solution:- given p = 0.6,n = 10

a) => (0.6)^10 = 0.006

b) P(X = 5) = 0.2007 = 0.201 (rounded)

c) P(X < 3) = P(0) + (1) +P(2)

= 0.0001 + 0.0016 + 0.0106

= 0.0123

= 0.012

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