In: Statistics and Probability
Assume that when adults with smartphones are randomly selected, 44 % use them in meetings or classes. If 14 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.
Solution:
Given: when adults with smartphones are randomly selected, 44 % use them in meetings or classes.
thus p = probability of adults with smartphones use them in meetings or classes = 0.44
n = Number of adult smartphone users = 14
X = Number of adults with smartphones use them in meetings or classes follows a binomial distribution with parameters n = 14 and p = 0.44
We have to find:
P(X = 5 ) = .........?
Binomial probability formula :
Where q = 1 – p = 1 - 0.44 = 0.56
thus
(Round final answer to specified number of decimal places)