Question

74%+ of all students at a college still need to take another math class. If 37 students are randomly selected, find the probability that...

a) None of them need another math class
b) All of them need another math class
c) At least 30 need another math class
d) Exactly 25 need another math class

Answer 1

To find the probability, consider the percentage of students needing another math class and use the binomial probability formula.

Step-by-step explanation:

To find the probability in each case, we need to consider the percentage of students who need another math class.

a) None of them need another math class: Since 74%+ of all students need another math class, the probability of none of the randomly selected students needing another math class is 0%.

b) All of them need another math class: Since 74%+ of all students need another math class, the probability of all of the randomly selected students needing another math class is (74/100)^37.

c) At least 30 need another math class: Since 74%+ of all students need another math class, the probability of at least 30 out of 37 randomly selected students needing another math class can be calculated using the binomial probability formula or a binomial calculator.

d) Exactly 25 need another math class: Since 74%+ of all students need another math class, the probability of exactly 25 out of 37 randomly selected students needing another math class can be calculated using the binomial probability formula or a binomial calculator.