The probability of catching the flu this year is 0.15. Use the binomial model to find the probability that 2 out 5 members of th
e Dawson family get the flu this year
P(x)=[n!x!(n−x)!]pxqn−x
a.) 2.43%
b.) 10.7%
c.) 13.8%
d.) 23.7%
1 answer:
Answer:
C) 13.8%
Step-by-step explanation:
Probability of catching the flu = p = 0.15
Probability of not catching the flu = q = 1 - 0.15 = 0.85
n = 5
Using binomial expansion, we have
C(n,r)* p^r * q^n-r
Probability of having 2 out of 5 = p(x = 2)
p(x = 2) = C(5,2) (0.15)^2 (0.85)^3
= 10 * 0.0225 * 0.614125
= 0.138
= 0.138 * 100
= 13.8% (C)
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