What is the mean number of rolls of a die before a 1 is observed? Roll a die until a 1 is observed. Repeat this process 30 times and answer the following questions.

1. Obtain a point estimate of the mean number of rolls of a die before a 1 is observed.

2. The population standard deviation for the number of rolls before a 1 is observed. Use this result to construct a 90% Z-interval for the mean number of rolls required before a 1 is observed.

3. The population mean number of rolls before a 1 is observed is 6. Does your interval include 6? What proportion of the Z-intervals in the class included 6? How many did you expect to include 6?

4. Construct a 90% t-interval for the mean number of rolls required before a 1 is observed.

5. The population mean number of rolls before a 1 is observed is 6. Does your interval include 6?

6. What proportion of the t-intervals in the class includes 6? How many did you expect to include 6?

7. Compare the Z-interval with the t-interval. Which has the smaller margin of error?

Solution Summary

An experiment of rolling a dice a number of times to test a particular number (say 1) to appear on top.

... total number of times we did the experiment we calculate a reasonable, empirically based, estimate of the probability that rolling this six-sided die one time ...

... b. Roll a pair of fair dice 24 times, record the pair on top. For experiment a, find the probability of event A: at least one 6. For the second experiment...

... p). figure out how many times you are running the experiment (n), and ... Like in the dice example ... How many ways can you roll a die 4 k 4 times ...

Question 3 An experiment consists of rolling one die. ... e) Are B and C independent? Defend your answer. An experiment consists of rolling one die. ...

... from analysis of all possible outcomes 2. the set of all possible outcomes 3. repetitions of a probability experiment 4. the ... 3. A standard die is rolled. ...

... That is, the outcomes of the experiment are finite and are integer values. ... and standard deviation of the probability distribution created by rolling a die. ...

... 2. An Embry-Riddle senior performed the same experiment on three groups of subjects ... are 4 ways to get a nine Total no ways the dice can be rolled= 6x6=36 ...

... Thus this experiment illustrate the concept of Central Limit theorem 2 ... a single die, but we will now use a pair of dice. Use statdisk to roll two dice 800 times ...