Colgate claims that 90% of dentists recommend Colgate toothpaste. Suppose you randomly choose 10 dentists and ask whether they recommend Colgate toothpaste. What is the probability that exactly 8 dentists in your sample recommend Colgate toothpaste

the probability that exactly 8 dentists in 10 samples recommend Colgate toothpaste is;

P(X) = 0.0043

P(X) = 0.43%

Step-by-step explanation:

The probability that a dentist recommend Colgate is;

P = 90% = 0.9

The probability that a dentist doesn't recommend Colgate is;

P' = 1 - P = 1 -0.9 = 0.1

Of 10 sample dentists, the probability that exactly 8 dentists recommend Colgate toothpaste is;

8 will recommend and two will not recommend it.

P(X) = P^8 × P'^2

P(X) = (0.9)^8 × (0.1)^2

P(X) = 0.0043

P(X) = 0.43%