Question

Assume that when an adult is randomly​ selected, the probability that they do not require vision correction is ​24%. If 12 adults are randomly​ selected, find the probability that fewer than 5 of them do not require a vision correction

Answer 1

P(X = 5) will have a probability of 0.101 that less than 5 of them do not require vision correction.

What is the probability?

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

Given data;

The probability that no vision correction is required p = 0.24

No. adults are randomly selected n = 12

We'll introduce a random variable. Out of every six adults, X does not require vision correction. The distribution of X is binomial. The probability required is P ( X = 5 )

From the binomial distribution:

P(X = 5) = 12C₅×(0.24)⁵×(0.77)⁷

P(X = 5) = 792×0.0007962624×0.1604

P(X = 5) = 0.101

Hence, the probability that fewer than 5 of them do not require a vision correction, P(X = 5) will be 0.101.

To learn more about probability, refer to the link: brainly.com/question/795909

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