The probability that 5 people will not go to the restaurant is; 2.31%
This is a binomial probability distribution question which follows the formula;
P(X = x) = ⁿCx • p^(x) • (1 - p)^(n - x)
We are given;
Probability of each person going to the chess Tahoe restaurant; 75% = 0.75
But in this case, we want probability of not going to the restaurant.
Thus;
p = 1 - 0.75
p = 0.25
Sample size; n = 7
Selection; x = 5
Thus,probability that 5 people will not go to the restaurant is;
P(X = 5) = 8C5 × 0.25^(5) × (1 - 0.25)^(8 - 5)
P(X = 5) = 56 × 0.0009765625 × 0.421875
P(X = 5) = 0.0231
P(X = 5) = 2.31%
Read more about binomial probability distribution at; https://brainly.com/question/15246027
