5-76. The percentage of people given an antirheumatoid medication who suffer sev

Question

5-76. The percentage of people given an antirheumatoid medication who suffer severe, moderate, or minor side effects are 10, 20, and 70%, respectively. Assume that people react independently and that 20 people are given the medication. Determine the following: (a) The probability that 2, 4, and 14 people will suffer severe, moderate, or minor side effects, respectively (b) The probability that no one will suffer severe side effects (c) The mean and variance of the number of people who will suffer severe side effects

Explanation / Answer

a) here from multinomial distribution

probability that 2,4,14 will suffer severe moderate and minor side effect =(20!/(2!*4!*14!))*(0.1)2*(0.2)4*(0.7)14

=0.063091

b)

P(no one will suffer severe disease) =(1-0.1)20 =0.121577

c)

mean =np =20*0.1 =2

variance =np(1-p) =20*0.1*(1-0.1) =1.8

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