4. Suppose that one die is rolled and you observe the number of dots facing up....
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
4. Suppose that one die is rolled and you observe the number of dots facing up. The sample space for this experiment is S -(1, 2, 3, 4, 5, 6). The following table provides 5 different potential probability assignments to the possible outcomes Outcome Assignment AssignmentAssignment Assignment Assignment #1 0 16 #5 0.13 0.3 0.1 0.08 0.21 0.18 #2 #3 #4 16 4 4 16 4 0.5 16 6 0.5 a) which of the assignments #1-#5 are legitimate probability assignments?...
You are to roll a fair die n=123 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,123. (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die. μXi= (at least one decimal)...
One die is rolled. LetA = event the die comes up evenB = event the die comes up oddC = event the die comes up 4 or moreD = event the die comes up at most 2E = event the die comes up 3give your answer as "yes" or "no" (without the quotation)(a) Are events A and C mutually exclusive?answer:(b) Are events C, D and E mutually exclusive?answer:(c) Are events C and E mutually exclusive?answer:(d) Are events A and B mutually exclusive?answer:(e) Are there any...
(1 point) You are to roll a fair die n = 104 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i = 1,2, ..., 104 (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll...
math 1. Suppose that a weighted die is tossed. Let X denote the number of dots that appear on the upper face of the die, and suppose that P(X = z) = (7-2)/20 for x = 1, 2, 3, 4, 5 and P(X = 6) = 0. Determine each of the following: 116 CHAPTER 4. DISCRETE RANDOM VARIABLES (a) The probability mass function of X (b) The cumulative distribution function of X (c) The expected value of X (d) The...
A fair, six-sided die is rolled. Describe the sample space S, identify each of the following events with a subset of S and compute its probability (an outcome is the number of dots that show up). a. Event T = the outcome is three. b. Event A = the outcome is an odd number c. Event B = the outcome is less than four. d. Event D = the complement of A e. A AND B f. A OR B...
A die is a cube with dots on each face. The die 20 times faces have 1, 2, 3, 4, 5, or 6 dots. The table below is a computer simulation (from the software package Minitab) of the results of rolling a fair 4, 5, or 6 d RoW c1 C2 C3 C4 CS C6 C7 C8 C9 c10 (e) Assume that each number in the table corresponds to Why? the number of dots on the upward face of the...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...