Respuesta :
The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C & fewer than 3) = 0.1985
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Here, we are required to find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.
Let Pr(C) be the number of consumers who believe that cash will be obsolete in the next 20 years.
Therefore, since 39.7% believe so,
Pr(C) = 39.7/100 = 0.397
If 6 consumers are selected randomly, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years will be;
Probability of 2 out 6 to believe so or Probability of 1 out of 6 to believe so.
Pr(2/6) + Pr (1/6)
Therefore the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is;
Pr (fewer than 3) = (2/6) + (1/6)
Pr (fewer than 3) = 3/6
Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C) × Pr (fewer than 3)
i.e 0.397 × (3/6) = 0.1985
Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C & fewer than 3) = 0.1985
To learn more about the probability from the given link
https://brainly.com/question/24756209
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