to the binornial to approximate the probability that In studies for a medication
ID: 3061867 • Letter: T
Question
to the binornial to approximate the probability that In studies for a medication, 8 percent of patients gained weight as a side effect. Suppose 632 patients are randomly selected. Use the normal (a) exactly 51 patents will gain weight as a side effect (c) at least 64 patents will gain weight as a side effect. What does this result suggest? (a) P(51)-(Round to four decimal places as needed) (b)PXs51).(Round to for dermal places as needed) (c) P(X264)"(Round to four deci nal places as needed) Since 64 is! | than 8% of patients, this suggests hat the proponon of panerns that gin segera, sonnet n 1008.Explanation / Answer
We would be using binomial distribution to calculate the probability and the formula for the same would be as shown below: -
n!/x!(p-x)!*p^x*q^n-x, n=632, p=0.08, q=0.92
a)
x=51
P(51)=0.0580
b)
x=51 or less
P(x<=51)=0.5627
c)
x=64 or more
P(x=>64)=0.03215
Less than, less than
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