FIRST ASSIGNMENT • Given that F ( x) = x+k , for 6 x = 1, 2, 3, 4. • 1) Find k. • 2) Find the probability distribution. • 3) Calculate the mathematical expectation. • 4) Calculate the standard deviation. • 5) Calculate the P ( x 2 ) . Submission Date: Monday, February 8, 2021 Submission Time: On or before (12.30 -1.00) pm To: Elvis, Mathematical Sciences Department MSc room Examples • A coin is tossed ten times. The two possible outcomes are heads and tails. The probability of heads on any one toss 1 is 2 . • A bag contains 6 red marbles and 4 blue marbles. Five marbles are drawn from the bag without replacement and the number of red marbles is observed. Here, a trial consists of drawing a marble from the bag and success be getting a red. This is not Bernoulli experiment since the trials are not independent (the mix of red and blues changes on each trial since marbles are not replaced) and the probability of success and failure vary from trial to trial. Tutorial 1 • A company is considering drilling four oil wells. The probability of success for each well is 0.40, independent of the results for any other well. The cost of each well is $200,000. Each well that is successful will be worth $600,000.
