During summer vacation, Wesley read, on average, 20 pages per night. Now that he has returned to school, he is averaging 65% few
1 answer:
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Answer:
The 0 and 1 outcomes would be considered unusual.
Step-by-step explanation:
We can define as usual outcomes, the ones that fall between .
According to a binomial distribution, s value is
The expected value out of a 8 people sample is
Then, our interval of usual values lies between
We can conclude that 0 and 1 (the results that lie outside of the interval) are unusual.
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