Question

Asked Nov 2, 2019

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72% of all students at a college still need to take another math class. If 34 students are randomly selected, find the probability that

a. Exactly 23 of them need to take another math class.

b. At most 23 of them need to take another math class.

c. At least 22 of them need to take another math class.

d. Between 21 and 25 (including 21 and 25) of them need to take another math class.

**Round all answers to 4 decimal places.**

Step 1

It is given that the probability of a selected student need to take another math class is 0.72.

The random variable *X*, number of students need to take another math class follows binomial distribution with *p* = 0.72 and *n* = 34.

**a).**

The probability that exactly 23 students need to take another math class can be obtained by entering the formula **“=BINOM.DIST(23,34,0.72,FALSE)”** in EXCEL software.

Step 2

**b).**

The probability that at most 23 students need to take another math class can be obtained by entering the formula **“=BINOM.DIST(23,34,0.72,TRUE)”** in EXCEL software.

Step 3

**c).**

The probability that at least 22 students need to take another math class can be obtained by entering the f...

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