Answer:
0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.
Step-by-step explanation:
We are given the following information:
We treat adult using smartphones in meetings or classes as a success.
P(Adult using smartphone) = 46% = 0.46
Then the number of adults follows a binomial distribution, where
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 9
We have to evaluate:
[tex]P(x = 3)\\\\= \binom{9}{3}(0.46)^3(1-0.46)^6\\\\= 0.2027[/tex]
0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.
