The following function is probability mass function. -2 -1 f(x) 1/6 1/6 2/6 1/6 1/6 Determine the requested probabilities: [Give exact answers in form of fraction.] (a) P(Xs2) - i (b) P(X>-2) = (c) P(-1sXs1) - (d) P(Xs-1 or X-2)-
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- What is the value of the constant c for p(x) to qualify as a probability mass function? ?(?)=?(1/4)x-1 ?? ? = 1, 2, 3, 4, 5, ... and p(x) = 0 otherwise. How would you get c{1-1/4}-1 = 17 - What should the constant value of c be for the function f (x) given below to be a continuous probability function?A) 3/2B) 4/3C) 2D) 1/2E) 2/3f(x), a continuous probability function, is equal to 1/20 , and the function is restricted to 3 ≤ x ≤ 23. What is P (3 < x <23)?
- X 1 2 3 4 P(X) 0.2 0.4 0.3 0.1 A ready-mix concrete had big purchases yesterday, and on opening this morning, they currently have only 20 bags of concrete mix in stock. Let X = the number of bags a typical customer buys during their shopping. Let X have the following probability mass function. Assume that the amount of concrete bought by each customer is unrelated to that purchased by any other customer. Write the probability mass function for the number of bags REMAINING, after the first buyer of the day. What is the probability that the SECOND buyer in the door will be able to fill his needs of buying 17 bags?Part A: I got c = 2 Part B: F(X) = -1/x2 - 1, for 1<x Part C: I keep getting a probability greater than 1.If the joint probability distribution of X1 and X2 isgiven by f(x1, x2) = x1x236for x1 = 1, 2, 3 and x2 = 1, 2, 3, find(a) the probability distribution of X1X2;(b) the probability distribution of X1/X2.
- f(x) for a continuous probability function is 1/18 , and the function is restricted to 2 ≤ x ≤ 20. What is P(x < 2)?f(x), a continuous probability function, is equal to 1/12, and the function is restricted to 0 ≤ x ≤ 12. What is P(0 < x < 12)? Answer to the first decimal place.3a) A discrete random variable X has a probability function as shown in the table below, where a and b are constants. x 5 10 15 20 P(X=x) a 0.1 b 0.35 Given that E(X) = 13.75 Find the value of a and the value of b. 3b) Please write down your answer as a decimal number with 2 decimal places. Using the formula and previous answers find Var(X) 3c) Using the formula and previous answers find E( 6 – 8X ) 3d) Using the formula and previous answers find Var( 6 – 8X )
- A bank faces two types of borrowers, type A and B. Both want a $225 loan. Type A repays the loan 100% of the time and type B only repays with probability 0.66. The bank doesn't observe type, but believes fraction x is type A. What does x need to be so that the bank can afford a pooling interest rate of 25%? A) 0.51 B) 0.47 C) 0.41 D) 0.361)find c 2)Try to find the cumulative probability function of X 3)find the mean, median,mode and variation of X 4)Try to find P(|X-u|<=1.8o), and compare it with the result obtained by the Chebi's theorem. .10 - The cumulative probability function is given as follows. Find the Probability density function for a continuous random number 0 <x <6. A) F (x) = 12x +1/2 B) f (x) = (1/36) x +1/2 C) f (x) = (1/36) x +1/12 D) 0 TO) f (x) = (16) x +1/2