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1 answer:
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Using the binomial distribution, it is found that the number of students that would be expected to select a gold-wrapped candy from the bag is given by:
- B. 5 students
The candies are chosen with replacement, which means that for each student, the probability of choosing a gold wrapped candy is independent of any other student, hence the binomial distribution is used.
<h3>What is the binomial distribution?</h3>- The <em>binomial distribution</em> is the <u>probability of exactly x successes on n repeated trials, with p probability of a success on each trial</u>.
The expected value of the binomial distribution is:
In this problem:
- There are 15 students, hence
.
- Of a totlal of 5 + 1 + 2 + 4 = 12 candies, 4 are gold wrapped, hence
Then, the <em>expected value</em> is:
Hence, option B is correct.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377