Which of the following best describes a binomial probability distribution?
a. It is a probability distribution that shows the probabilities associated with possible values of a discrete random variable that are generated by a binomial experiment.
b. It is a probability distribution that shows, for each of a random variable's possible values, the probability of the variable being less than or equal to that value.
c. It is a probability distribution that shows the probabilities associated with possible values of a discrete random variable when these values are generated by sampling without replacement and the probability of success, therefore, changes from one trial to the next.
d. It is a probability distribution that shows the probabilities associated with possible values of a discrete random variable when these values equal the number of occurrences of a specified event within a specified time or space.
e. It is a probability distribution that shows, for each of a random variable's possible values, the probability of the variable is positive.
Q. 2The linear correlation coefficient is used to measure the strength of the linear relationship between two variables.
Indicate whether the statement is true or false
Q. 3The expected value, E(X), of a binomial probability distribution with n trials and probability p of success is:
a. n / p
b. np(1 p)
c. np
d. np 1
e. n(1 p)
Q. 4Generally speaking, the higher the correlation between x and y, the better will be the predictions which are made using the line of best fit provided the prediction is made for an x-value within the range of observed x-values.
Indicate whether the statement is true or false
Q. 5The expected number of heads in 200 tosses of an unbiased coin is:
a. 100
b. 50
c. 75
d. 125
e. 200
Q. 6If x and y are highly correlated, then x is said to cause y to occur.
Indicate whether the statement is true or false
Q. 7The National Rifle Association chapter in a university town claims 60 of the students at the university favor gun control. A social scientist at the university conducts a survey of 20 randomly chosen students and finds 9 who favor gun control. Which of the following is a reasonable conclusion?
a. There is no reason to doubt the claim.
b. The survey results constitute a rare event.
c. The NRA's claim is incorrect.
d. The true percentage of students who favor gun control must be 45.
e. None of these.
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