The factorial moment generating function of the discrete random variable X, be given in the form. Which of the following is the first factorial moment of the random variable X? X kesikli raslantı değişkeninin faktöryel moment çıkaran fonksiyonu, Nx (t) : 1 =-t+ biçiminde verilsin. X raslantı değişkeninin birinci faktöryel momenti aşağıdakilerden hangisidir? 24 - O A) 7 O B) 1 O ) 3 O D) 2 O E) 4

2 (a) Let Y be the random variable that counts the number of sixes which occur when a die is tossed 10 times. What type of random variable is Y? What is P (Y = 3), expected number of sixes,Var(Y )? (b) Let U be the random variable that counts the number of accidents that occur at an intersection in one week. What type of random variable is U? Suppose that, on average, 2 accidents occur per week. Find P(U = 2), E(U), and V ar(U). (c) Let X be the recorded body temperature of a healthy adult in degrees Fahrenheit. What type of rv is X? Estimate its mean and standard deviation, based on your knowledge of body temperatures.