Suppose you roll a six-sided 50 times and calculate the mean roll, x .

(a) We can consider these 50 rolls as a SRS of rolls from the population of all possible rolls of this die. Using formulas from Chapter 6, we can determine that if the die is fair, the mean of this population is 3.5 and the standard deviation 1.71. How would you describe the shape of this population distribution?

(b) Find the shape, center, and spread of the sampling distribution of x .

(c) Suppose that the mean of your 50 rolls is x the die? Justify your answer

0.07

a. the distribution will be a normal distribution.

c. we would suspicious ins there is a 2 % chance of getting the required value.

Step-by-step explanation:

Let the number of times, t be = 50

Assuming that the die is fair

standard deviation = 1.71

mean = 3.5

suppose we want tp find the probability of a 2 showing. The solution becomes:

probability =

c. the  mean of rolls will be 0.07

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5