Binomial Mean and Variance

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

Which of the following is NOT an assumption of the Binomial distribution?

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

In a survey of 1000 people, what is the formula for calculating the variance of the number of people who prefer tea over coffee, assuming a binomial distribution?

Find the mean, variance, and standard deviation for each of the values of n and p when the conditions for the binomial distribution are met.

n=100, p=0.75

Type your final answer as follows:

Mean =

Variance =

SD =

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the mean?

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the standard deviation?

Given that a class consists of 30 students, 70% of them pass in a mathematics test. Find the variance and the standard deviation of the number of students pass the test. (Separate your answer with a ',' ie. 2.30 , 1.115)

(a)