Answer:
4 Containers Can Be Filled By Each Two Pound Bag Of Candy .
Step-by-step explanation:
GIven Two Pound Bag Of Candy Used To Fill Container That hold Pound Each .
Now There are 4 Container of Capacity Pound Needed To fill Exactly 3 two Pound Bags .
Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )
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:
In this problem:
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