Homework Sourseclarinex D is a medication whose purpose is reduce the sympt
clarinex D is a medication whose purpose is reduce the symptom associated with a variety of allergies. in clinical trial of clinical trial of clarinex D, 5% of the patients in the study experienced insomnia as a side effect. A random sample 20 Clarinex-D users is selected and the number of the patients who experience insomnia is recorded. Find the probability that exactly 3 experience insomnia as a side effect? Find the probability 3 or fewer experience insomnia? Between 1and 4 experience insomnia. Would it be unusual to find 4 or more patients experience insomnia as side effect? Binomial stat question
clarinex D is a medication whose purpose is reduce the symptom associated with a variety of allergies. in clinical trial of clinical trial of clarinex D, 5% of the patients in the study experienced insomnia as a side effect. A random sample 20 Clarinex-D users is selected and the number of the patients who experience insomnia is recorded. Find the probability that exactly 3 experience insomnia as a side effect? Find the probability 3 or fewer experience insomnia? Between 1and 4 experience insomnia. Would it be unusual to find 4 or more patients experience insomnia as side effect? Binomial stat question
Solution
poisson with lambda = 0.05 * 20 = 1
a ) P(X = 3 ) = e^(-1) / 3! = 0.0613
b ) P(X <= 3) = summation (e^(-1) / x!) x = 0 to 3 = 0.981
c ) P(1 <= X <= 4) = summation (e^(-1) / x!) x = 1 to 4 = 0.628
d ) P(X >= 4) = 1 - P(X<=3) = 1 - 0.981 = 0.019 , hence unusual
