Question

If 41% of adult smartphone users use their smartphones in meetings or classes, and 6 adult smartphone users are randomly selected, what is the probability that exactly 3 of them use their smartphones in meetings or classes?

A) 0.2272
B) 0.5342
C) 0.3753
D) 0.7728

Answer 1

To find the probability of exactly 3 out of 6 randomly selected adult smartphone users using their smartphones in meetings or classes, we use the binomial probability formula. Option A is the correct answer.

Step-by-step explanation:

To find the probability that exactly 3 out of 6 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula. The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:

P(X=k) is the probability of getting exactly k successes

n is the number of trials (in this case, 6)

p is the probability of success (in this case, 41% or 0.41)

k is the number of successes we want (in this case, 3)

Using this formula, we can calculate the probability as:

P(X=3) = (6 choose 3) * 0.41^3 * (1-0.41)^(6-3)

P(X=3) = 20 * 0.41^3 * 0.59^3 = 0.2272

Therefore, the probability that exactly 3 out of 6 randomly selected adult smartphone users use their smartphones in meetings or classes is 0.2272.