Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find theprobability that exactly 6 of them use their smartphones in meetings or classes.The probability is

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the Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the

probability that exactly 6 of them use their smartphones in meetings or classes.

In this problem we have a Binomial Probability Distribution

n=8

k=6

p=46%=0.46

q=1-p=0.54

[tex]P(x=k)=\frac{n!}{k!(n-k)!}\cdot p^k\cdot q^{(n-k)}[/tex]

substitute the given numbers

[tex]P(x=6)=\frac{8!}{6!(8-6)!}\cdot0.46^6\cdot0.54^{(2)}[/tex]

P(x=6)=0.0774