Question

A cheese can be classified as either raw-milk or pasteurized. 82% of cheeses are classified as pasteurized.

Answer 1

Answer:

Step-by-step explanation:

A cheese is said to be classified as either raw-milk or pasteurized.

Given that: 82% is pasteurized,

Then:

Supposed two cheeses are chosen at random;

P(both cheeses are pasteurized) = 0.82 × 0.82

= 0.6724

If four cheeses are chosen at random;

P(that all four cheeses are pasteurized) = 0.82 × 0.82 × 0.82 × 0.82

P(that all four cheeses are pasteurized) = 0.452

The required probability for at least one of the four randomly selected  cheeses is raw milk is:

P(at least one of the randomly selected cheese is raw milk) = 1 - P(that all four cheeses are pasteurized)

P(at least one of the randomly selected cheese is raw milk) = 1 - 0.452

P(at least one of the randomly selected cheese is raw milk) = 0.548

However, since the probability that at least one of the randomly selected cheese is raw milk  is greater than one; then we can conclude that;

It is not  unusual that at least one of four randomly selected cheeses is raw-milk.