SOLUTION: Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of this medication, 5% of the patients in the study e

Question 1197157: Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of this medication, 5% of the patients in the study experienced insomnia as a side effect.
A random sample of 50 Clarinex-D users is obtained.
The probability that more than 4 people in the sample experience insomnia as a side effect is .
The probability that less than 2 people in the sample experience insomnia as a side effect is .
The probability that between 2 and 7 people in the sample, inclusive, experience insomnia as a side effect is .
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Binomial distribution:  p = .05 , n= 50
  | P(4) = (50C4)(.05^4)(.95^46)
Trust Your calculator is doing the computations for You:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(x) is binompdf(n, p, x-value).
P(4) = binompdf(50, .05, 4)= .136

P(x<2) =  P(0) + P(1) 
Trust Your Calculator:
P(x<2) = P(x ≤ 1) = binomcdf(n, p, largest x-value) =binomcdf (50,.05,1) = .2794

P(2 ≤ x ≤ 7) =   P(2) + P(3) + P(4) + P(5) + P(6) + P(7)
Trust Your Calculator:
P(2 ≤ x ≤ 7) = P(x≤7) - P(x≤1) = .9968 - .2794 = .7174
 
Feeling comfortable with Your calculator is key to Your success working
with the various Distributions.
Wish You the Best in your Studies.

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