A new drug causes to treat asth reaction) in 9% are randomly selected and the nu

Question

A new drug causes to treat asth reaction) in 9% are randomly selected and the number who experience tachycardia are record ma causes tachycardia (rapid heart rate which is considered an adverse of asthma patients over 12 years old. Suppose 10 asthma patients who need medication ed. a) What is the probability that none of the patients will tachycardia? (2 points) b) What is the probability that fewer than 2 patients will experience tachycardia? (2 points) c) What is the probability that more than 2 but at most 5 patients will experience tachycardia? (2 points) d) What is the probability that all the subjects will have tachycardia? What is the expected number of patients to experience tachycardia and what is the standard deviation associated with this value in this study? (2 points) e)

Explanation / Answer

Ans:

Binomial distribution with n=10,p=0.09

P(x=k)=10Ck*0.09k*(1-0.09)10-k

a)P(x=0)=10C0*0.090*0.9110=0.3894

b)P(x<2)=P(x=0)+P(x=1)=0.3894+10C1*0.09*0.919

=0.3894+0.3851=0.7746

c)P(2<x<=5)=P(x=3)+P(x=4)+P(x=5)=0.0452+0.0078+0.0009=0.0539

d)P(x=10)=0.09^10=0

e)Expectation=np=10*0.09=0.9

standard deviation=sqrt(10*0.09*0.91)=0.905

x p(x) 0 0.3894 1 0.3851 2 0.1714 3 0.0452 4 0.0078 5 0.0009 6 0.0001 7 0.0000 8 0.0000 9 0.0000 10 0.0000

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