Suppose you are going to roll a die 60 times and record the proportion of times that a 1 or 2 is showing, s
1. Roll the die 40 times and record the rolled values in the table below. These represent 40 observations of X. 2. Calculate the sample mean of your 40 rolls using Excel. This number represents a single observation of the random variable X (which, again, is a random variable representing the sample mean of 40 rolls of a die). Record the value for the sample mean in the space below: Sample Mean Observation (= first observation of X): 4. Do...
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(1 point) You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 108 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. A. with a mean 18 and a standard deviation 3.87 !! . (a) The distribution of X...
(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...
Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled the die for 5 times and six has not appeared ones. Assuming die rolls are independent, what is the probability that you would get a six in the next roll? 1/6 1/2 5/6 0 1
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)...
You roll a die 2 times. The event A is that you get '3' in the first roll. The even B is that the sum in 2 rolls is 5. Are these 2 events independent?
Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 1 2 3 4 5 6 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 93 times and come up with the following distribution: 1 2 3 4 5 6 15 13 21 14 15 15 What...
suppose you only have one fair 6-sided die. We will say that a success is if you roll a 5 or a 6. You roll the die over and over until you roll two successes in a row. What is the the expected number of times you must roll before you stop?
Roll a die 20 times and record your rolls here: separate each roll by a comma. For example, I rolled 1,1,5,1,3,1,6,2,5,2,3,2,6,2,3,4,6,6,1,4 Calculate the Mean of your rolls and list it below your data Calculate the Mode of your rolls and list it below your data than; Would you expect the mean to be the same for each person in your group? Why or why not? Would you expect the mode to be the same for each person in your group?...
1) Suppose we have a fair 6 sided die and a coin. a) If we roll the die 4 times, the total number of possible outcomes is? b) If we roll the die 2 times then flip the coin 3 times, the total number of possible outcomes is? Show your calculations.