Question

Assume that when adults with smartphones are randomly​ selected, 43​% use them in meetings or classes. If 10 adult smartphone users are randomly​ selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes. What is the probability?

Answer 1

Let X denote the random variable representing the number of adults out of the 10 selected who use smartphones in meetings or classes.

Now, the probability of a randomly selected adult using smartphones in meetings or classes is 43% = 0.43 and can be assumed to be independent of other adults.

Thus, we can conclude that X ~ Binomial(n = 10, p = 0.43) and the probability mass function of X is given by:

Now, the probability that fewer than 4 of the adults use their smartphones in meetings or classes is given by:

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.