Questions are in the attachment.

QUESTION 1 If X is a binomial random variable with n = 20 and p = 0.25, the mean of X is: Q a. 10 O b. 4 O c. 5 d. None of the above QUESTION 2 variable. A cumulative distribution function can be used to find the probability mass function of a discrete random True False QUESTION 3 The Binomial distribution is widely use as a model of the number of events in an interval. True False QUESTION 4 The variance of a random variable is a measure of the dispersion or scatter in the possible values of X. True FalseQUESTION 5 the random variable. The probability distribution of a discrete random variable is a description of the probabilities associated with each possible value of True False QUESTION 6 If X is a discrete uniform random variable defined on the consecutive integers 10, 11, ,20, the mean of X is: O a. 30 O b. 15 OG. 12 Oid. None of the above QUESTION 7 The Poisson distribution is a limiting from of the binomial distribution. O True False QUESTION 8 The variance of a discrete random variable is the same as its expected value. True FalseQUESTION 9 The mean and variance of a Poisson distribution are both equal to the parameter of the distribution, O True False QUESTION 10 The mean of a discrete random variable is the same as its expected value. True O False QUESTION 11 Flipping a coin can be modeled by the Binomial Distribution. O True O False QUESTION 12 The Expected Value of a random variable is a measure of the dispersion or scatter in the possible values of X. O True O False QUESTION 13 Rolling one die can be modeled by the Uniform Distribution. O True OFalseQUESTION 14 The binomial distribution arises from a series of Bernoulli trials. O True False QUESTION 15 The variance of a binomial random variable with parameters n and p is p(1 p). True False