Carmen Homework 10 - Binomial Distribution

If X is a binomial random variable with n = 4 and p = 0.18. What is P(X = 3)?

0.019

What is the value of [5 Choose 2]?

10

If X is a binomial random variable with n = 15 and p = 0.3, we can use the normal approximation.

False

A binomial random variable is what type of random variable?

Discrete Random Variable

Which of the following variables is binomially distributed?

Flipping a coin 10 times.

Which of the following is NOT a condition of the binomial distribution?

None of the above.

The national proportion of adults who are concerned about nutrition is 0.4. You take a random sample of 10 adults and count the number who are concerned about nutrition (call it X). What is the probability that X is at least 2?

0.9537

Suppose 20% of Ohio residents support the legalization of marijuana. If you randomly select n people and would like to use the normal approximation to answer questions, what does your sample size have to be, at minimum?

50

Suppose 40% of college students plan to vote in the election. Now suppose we randomly select 200 college students and ask them if they plan to vote. What is the probability that more than 75 of the 200 students sampled plan to vote?

76.4%

If X is binomial with n = 5 and p = 0.05, the chance that X is at least 1 is 0.6240

False