1 in 4 adults are on a diet. in a random sample of 10 adults, what is the probability that the number on a diet is exactly 4

14.6%

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1-p) ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Here, n = 10, r = 4, and p = 1/4.

P = ₁₀C₄ (1/4) ⁴ (1-1/4) ¹⁰⁻⁴

P = 210 (1/4) ⁴ (3/4) ⁶

P ≈ 0.146

There is an approximate 14.6% probability that exactly 4 of the 10 adults are on a diet.