Given that f(x) = e-(x-1) for x > 1, determine the following probabilities:
a) P(X < 4), b) P(X > 3.5), c) P(4 < X < 5), d) P(X < 4.5), e) P(X < 3.5 or X > 4.5)
Given that f(x) = e-(x-1) for x > 1, determine the following probabilities: a) P(X <...
4-1. Suppose that f(x)-e-x for 0 < x. Determine the fol- lowing probabilities: (c) P(X= 3) (e) P(3 s x) (d) P(X<4)
Suppose that f(x) -ex4) for 4 <x. Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765 a) P(1< X)= c) P(S < X)- d) P(8< X < 12)- e) Determine x such that P(X < x) = 0.68 . Round your answer to 3 decimal places (eg 98.765)
Suppose that f(x) = e-x for x > 0. Determine the following probabilities: Round your answers to 4 decimal places. a) P(X=3)
Suppose that f(x) - or 0<X<8 256 Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765) (a) P(X < 2)=7456 (b) P(X< 9) = (d) P(X > 5)- 316 (e) Determine such that P(x x)-0.90 X6.302
show all the work
2. Let E, F be events with probabilities P(E) = 2, P(F) = 3, PENF) = .1. Compute the probability that at most one of E, F occurs. A. .4 B..5 C..1 D..9
Determine the following exponential probabilities. (a) P(x < 1 | λ = 0.53) (b) P(x > 1 | λ = 1.7) (c) P(x < 4 | λ = 0.40)
Verify that the following function is a probability mass function, and determine the requested probabilities. f(x) = (3x+4)/50, x = 0, 1, 2, 3, 4 Is the function a probability mass function? (yes/no) Give exact answers in form of fraction. (a) P(X = 4) = ? (b) P(X ≤ 1) = ? (c) P(2 ≤ X < 4) = ? (d) P(X > -10) = ?
Verify that the following function is a probability mass function, and determine the requested probabilities. f(x) = x = 0,1,2,3,4 Is the function a probability mass function? 6x+4 80 Give exact answers in form of fraction. (a) PIX =4) - (b) P(X s 1) - (c) P(2 s X < 4) = (d) PCX > -10) -
2. The joint probabilities P(X = a, Y = b) of two discrete random variables X and Y are given in the following table: 4 1 2 1 / 2 3 16/1363/1362/136 13/136 5/136 | 10/136 11/136 | 8/136 9/136 6/136 | 7/136 | 12/136 4/136 15/136 14/136 1/136 3 4 d. Determine the marginal PMF of X and Y e. Determine the following probabilities of X and Y from the table: a. P (X=1, Y=2) b. P (X=3) c....
a. P(X=3)=
b. P(X=3)=
c. P(X=0)=
d. P(X=3)=
Please include Excel formula.
Determine the following probabilities. a. If n 4, N 12, and A 5, find P(X 3). b. If n 4, N 6, and A 3, find P(X 3) c. If n 6, N 11, and A 5, find P(X 0) d. If n 3, N10, and A 3, find P(X 3)