A poll showed that 57.4% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Report your answer as a decimal accurate to 3 decimal places.

The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.426.

Step-by-step explanation:

Let X = number of Americans who believe that statistics teachers know the true meaning of life.

The probability of the random variable X is,

P (X) = 0.574

The event of a person not believing that statistics teachers know the true meaning of life is the complement of the event X.

The probability of the complement of an event, E is the probability of that event not happening.

Compute the value of as follows:

Thus, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.426.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.