Question

Assume that when adults with smart phones are randomly selected 49% use them in meetings or classes if eight adult smartphone users are randomly selected find the probability that exactly 5 of them use their smart phones in meetings or classes

Answer 1

To find the probability that exactly 5 out of 8 randomly selected adult smartphone users use their smartphones in meetings or classes, you can use the binomial probability formula.

Step-by-step explanation:

To find the probability that exactly 5 out of 8 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

Let's denote the probability of using smartphones in meetings or classes as p = 0.49 (given in the question).

The probability of exactly 5 out of 8 people using their smartphones in meetings or classes can be calculated as:

1. Calculate the number of ways we can choose 5 out of 8 people: C(8, 5) = 8! / (5! * (8-5)!)
2. Calculate the probability of a single person using their smartphone in meetings or classes: p^5 * (1-p)^(8-5)
3. Multiply these two values together to get the probability of exactly 5 out of 8 people using their smartphones in meetings or classes
4. Using these steps, the probability can be calculated as follows:

Probability = C(8, 5) * p^5 * (1-p)^(8-5) = 56 * 0.49^5 * 0.51^3 ≈ 0.1563 (rounded to 4 decimal places)