Question

Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. in Clarinex-D clinical trials 9% of patients in the study experienced insomnia as a side effect. A random sample of 20 clarinex-d users is obtained and the number of patients who experienced insomnia is recorded. find the probability that 3 or less have experienced insomnia as a side effect

Answer 1

Use excel formula "=BINOM.DIST(x, n, p, FALSE)"

x	Excel formula	P(X=x) [rounded to four decimal places]
0	=BINOM.DIST(0, 20, 0.09, FALSE)	0.1516
1	=BINOM.DIST(1, 20, 0.09, FALSE)	0.3000
2	=BINOM.DIST(2, 20, 0.09, FALSE)	0.2818
3	=BINOM.DIST(3, 20, 0.09, FALSE)	0.1672

The probability that 3 or less have experienced insomnia as a side effect is