1.A surgical technique is performed on 6
patients. You are told
there is a 60% chance of success.
a. Find the mean, variance, and standard deviation
of the
probability distribution and show the formulas used.
b. Find the probability that the surgery is successful for exactly
5
patients. Show all details. Calculator strokes work for this.
c. Find the probability that the surgery is
successful for 2
or fewer patients. Show
all details.
d. What would the mean, variance and standard deviation
be if the sample size was 100 patients?
e.
Now suppose there are 100 patients.
Use the normal approximation to
a binomial distribution to determine the probability of
success
for no more than 58 successful surgeries.
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