(a)
The following function can represent a probability mass function because the Total Probability = 1 as shown below:
(b)
(i)
(ii)
(iii)
(iv)
Q1. Consider the following table x-2-02 f(x) 1/8 2/8 2/8 2/8 /8 a) Explain why the...
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) -
Verify that the following function is a probability mass function, and determine the requested probabilities. f (x) (512/73) (1/8)*x-1,2,3) Round your answers to four decimal places (e.g. 98.7654) Is the function a probability mass function? (a) P(X s 1) (b) P(X 1)- (e) P(2 <X 7) (d) P(X s2 or X > 2)-
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) = ?
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Verify that the following function is a probability mass function, and determine the requested probabilities. [Give exact answers in form of fraction.] f(x)-(5/6)(1/6)" x=0,1,2, , (a) P(X= 2) (b) P(X s 2)-.uI = i (c) P(X > 2)= (d) P(X21) = T Your answer is partially correct. Try again. Verify that the following function is a probability mass function, and determine the requested probabilities f (x)3x+3 45x 0, 1, 2,3,4 Is the function a probability mass function? Give exact...
Verify that the following function is a probability mass function, and determine the requested probabilities. 4x+2 50' Is the function a probability mass function? Give exact answers in form of fraction (a) P(X 4) (b) P(X s 1)- (c) P(2 s X <4) (d) P(X> -10) Statistical Tables an
PLEASE ANSWER ALL
NUMBER 3 (Parts A-F)
Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
NEXT FULL SCREEN PRINTER VERSION BACK RCES Question 20 The following function is probability mass function 1 2 1 0 2 f(x) 1/9 2/9 3/9 2/9 1/9 Determine the requested probabilities: [Give exact answers in form of fraction.] (a) P(X 2) 0 (b) P(X> 2)=0.9 (c) PC-1 Xs 1) =0.9 (d) P(Xs-1 or X = 2) = || Statistical Tables and Charts S Question 21 Verify that the following function is a probability mass function, and determine the requested probabilities....
The sample space of a random experiment is fa, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows: b d Outcome C X 0 1.4 1.4 3 Determine the probability mass function of X. Use the probability mass function to determine the following probabilities. Give exact answers in the form of fraction a) P(X 1.4)= b) P(0.5<X< 2.7) c) P(X> 3) d) P(0 X 2) e) P(X 0 or X =...
5. Let X be a discrete random variable. The following table shows its possible values associated probabilities P(X)( and the f(x) 2/8 3/8 2/8 1/8 (a) Verify that f(x) is a probability mass function. (b) Calculate P(X < 1), P(X 1), and P(X < 0.5 or X >2) (c) Find the cumulative distribution function of X. (d) Compute the mean and the variance of X.
3. (a) Explain why the function f(x) = {*** *8 sin (1) :051 <10 :3€ (-0, 0) (10,00) is a probability density function. That is, show or explain why f(x) satisfies all of the properties of a probability density function.