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Suppose X is a random variable with the following distribution. Use this information on X toanswer parts a) – c).   Find the probability of X = 1.   Find the probability of X = 1 conditional on ? ≥ 1.  Find the mean of X.

a. What is the probability that a randomly selected household has one​ television?   The probability is ​(Round to two decimal places as​ needed.)   b. What is the probability that a randomly selected household has more than one​ television? The probability is ​(Round to two decimal places as​ needed.)     c. What is the probability that a randomly selected household has at least one​ television? The probability is ​(Round to two decimal places as​ needed.)     d. Is this an example of​ classical, empirical, or subjective​ probability? This is​ a(n)---------  probability because the probability is based on----------- Number of Televisions Number of Households   0 5   1 36   2 49   3 30   4 12   5 12   6 6   Total 150

Q25.If the records show that, the probability of failing (with grade F) this course is p, [use the answer of question 22 above as the probability, p, here], what is the probability that at most 2 students out of 16 fail this course? {Hint: use binomial distribution}