Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- The probability of a bottle being hit is of p = 0.95.
- There are n = 10 bottles.
The probability that he hits fewer than 8 of the bottles is given by:
In which:
Then:
Hence:
The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.
More can be learned about binomial distribution at brainly.com/question/24863377
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