P(X = 5) will have a probability of 0.101 that less than 5 of them do not require vision correction.
<h3>What is the probability?</h3>
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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