Ryan is preparing for an intercollegiate competition in disc

Ryan is preparing for an intercollegiate competition in discuss. In each throw he gets a distance X meters that his friend Maxwell has shown to have the PDF Ryan\'s goal is to get a throw of at least 70 feet. Each throw is known to be independent of other throws. What is the probability that Ryan succeeds in any single throw? Let the random variable K denote the number of throws up to and including the throw when he first achieves his goal, What type of random variable is K? What is the PMF of K? What is the expected value of K? Assume that on this particular day Ryan keeps practicing until he has thrown the discus 15 limes and then stops. Let M denote the number of times he achieves his goal in those 15 throws. What type of random variable is M? What is the PMF of M? What is the expected value of M? What is the probability that he reached his goal exactly 8 times? Let the random variable N denote the number of throws up to and including the throw that results in the third time that Ryan reaches his goal. i. What type of random variable is N? What is the PMF of N? What is the expected value of N? What is the probability that N= 7.?

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