The three girls will receive 1/6 pound of candy each.
Step-by-step explanation: 1/2 divided by 3 = 1/6
487/67= 7.2686567
rounded= 7.269
<span>0.316 in expanded form is= 0.3 + 0.01 + 0.006. </span>
Using the binomial distribution, it is found that there is a:
a) 0.9298 = 92.98% probability that at least 8 of them passed.
b) 0.0001 = 0.01% probability that fewer than 5 passed.
For each student, there are only two possible outcomes, either they passed, or they did not pass. The probability of a student passing is independent of any other student, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial probability 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:
- 90% of the students passed, hence
.
- The professor randomly selected 10 exams, hence
.
Item a:
The probability is:

In which:




Then:

0.9298 = 92.98% probability that at least 8 of them passed.
Item b:
The probability is:

Using the binomial formula, as in item a, to find each probability, then adding them, it is found that:

Hence:
0.0001 = 0.01% probability that fewer than 5 passed.
You can learn more about the the binomial distribution at brainly.com/question/24863377
1/6 is greater than 1/8, because when you change the fractions 1/6 will be 4/24 but 1/8 will be 3/24. To change the fractions you first have to find the lowest number that both denominators can go in, so it is 24. 6 can go into 24 four times, so you multiply the numerator by 4 making 1/6 4/24. 8 can go into 24 three times, so you multiply the numerator by 3 so 1/8 = 3/24.