Math

StatisticsQ&A Library77% of all students at a college still need to take another math class. If 5 students are randomly selected, find the probability thata. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 3 of them need to take another math class.Round all answers to 4 decimal places.Question

Asked Nov 9, 2019

1 views

77% of all students at a college still need to take another math class. If 5 students are randomly selected, find the probability that

a. Exactly 2 of them need to take another math class.

b. At most 2 of them need to take another math class.

c. At least 3 of them need to take another math class.

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

Step 1

**Binomial distribution:**

The binomial distribution gives the probability of number of successes out of *n* trials in a series of Bernoulli trials.

The probability mass function (pmf) of a binomial random variable *X* is given as:

Step 2

**a.Computing the probability that exactly 2 of them need to take another math class:**

It is given that 77% of the students need to take another math class.

A sample of 5 students is selected.

Thus, n = 5 and p = 0.77.

Define the random variable *X *as the number of students needs to take another math class.

The probability that exactly 2 of them need to take another math class is obtained as follows:

Step 3

**b.Computing the probability that at most 2 of them need to take another math class:**

The probability t...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as ...

A: Hey, since multiple questions are posted, we will answer first three subparts of first question acco...

Q: rosoft Edge atic/nb/ui/evo/index.html?deploymentid-589573205424674386703380718elSBN-9780357035108&id...

A: Given Datadfbetween = 2dfwithin = 30Degrees of freedom of treatments is given byK-1 = 2K represents ...

Q: Test the given claims using the traditional method of hypothesis testing. Various temperature meas...

A: The hypotheses for the test is given below:Null hypothesis:H0: µ = 22.Alternative hypothesis:H1: µ ≠...

Q: Please help me with this problem

A: Given dataSample size(n) = 144Sample mean = 18Population standard deviation = 2.9Significance level(...

Q: Please help me with this problem

A: Given dataSample size(n) = 27Sample mean = 76.2Population standard deviation = 21.4Significance leve...

Q: Given that a distribution on a test has a mean of 70 and a standard deviation of 12 A. Find the pro...

A: Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean µ...

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample nine people from t...

A: From the given information, the population has a mean of 75 and a standard deviation of 15. And the ...

Q: Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives...

A: Let X be random variable uniformly distributed between 0 and 5.3 seconds.Denote X as the time from a...

Q: A population of values has a normal distribution with μ=179 and σ=98.2. You intend to draw a random ...

A: The provided information are:Population mean (µ) = 179.Population standard deviation (σ) = 98.2Sampl...