Answer:
0.1749
Step-by-step explanation:
We are to find the probability that none of the house-holds tuned to 50 minutes.
P(tune to 50 minutes) = 0.16
p = 0.16
q = 1 - 0.16
q = 0.84
number of households (n) = 10
x = number of households that tuned at 50 minutes
since none of the household tuned, then:
x = 0
Using the binomial expression:
[tex]P(x=x) ^nC_xp^xq^{(n-x)}[/tex]
[tex]P(x=0) = ^{10}C_0 \ (0.16)^0 \ (0.84)^{(10-0)}[/tex]
[tex]P(x=0) = \dfrac{10!}{(10-0)!0!} \ (0.16)^0 \ (0.84)^{(10)}[/tex]
[tex]P(x=0) = 1 \times \ 1 \times 0.1749[/tex]
P(x =0) = 0.1749
