Question

Problem 7) True/False A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin. X follows a binomial distribution with n=20.p=0.5. Answer the following questions. True/False: In this problem, the random variable X is considered as a Continous Random Variable. True False

Answer 1

ANSWER : False

SHORT EXPLANATION : Here , we are given that there are 20 coin tosses , and X be the nmber of heads come out of it , the number of heads can vary from 0 to 20 i.e., 20 ways can be possible , but not more than that . But , we are asked that is is continuous random variable or not , and , obviously it is not . Because by definition continuous random variable can take infinitely many values within the interval and this is not the scenario here. Here X can take finite values within the specified interval .Therefore , the given statement is False.