Question

Select the best answer. Which of the following random variables is geometric? (a) The number of times I have to roll a die to get two 6s. (b) The numb

Upper level probability
ANSWERED
asked 2021-01-06
Select the best answer. Which of the following random variables is geometric?
(a) The number of times I have to roll a die to get two 6s.
(b) The number of cards I deal from a well-shuffled deck of 52 cards until I get a heart.
(c) The number of digits I read in a randomly selected row of the random digits table until I find a 7.
(d) The number of 7s in a row of 40 random digits.
(e) The number of 6s I get if I roll a die 10 times.

Answers (1)

2021-01-07
1) A variable uses a geometric distribution if: The variable is number of failures before the first success.
Each draw is independent of the previous ones
2)(a) Not geometric, because it contains the number of failures before the first TWO successes.
(b) Not geometric, because the cards are not being replaced.
(c) Geometric
(d) Not geometric, counts the number of successes instead of the number of failures before the first success.
(e) Not geometric, counts the number of successes instead of the number of failures before the first success.
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2021-08-22
The seller of a loaded die claims that it will favor the outcome 6. We don't believe that claim, and roll the die 200 times to test an appropriate hypothesis. Our P-value turns out to be 0.03. Which conclusion is appropriate? Explain.
a) There's a 3% chance that the die is fair.
b) There's a 97% chance that the die is fair.
c) There 's a 3% chance that a loaded die could randomly produce the results we observed, so it's reasonable to conclude that the die is fair.
d) There's a 3% chance that a fair die could randomly produce the results we observed, so it's reasonable to conclude that the die is loaded.
asked 2021-07-02
An investor plans to put $50,000 in one of four investments. The return on each investment depends on whether next year’s economy is strong or weak. The following table summarizes the possible payoffs, in dollars, for the four investments.
Certificate of deposit
Office complex
Land speculation
Technical school
amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500
amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000
Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.
asked 2021-04-25
Individual A has a red die and B has a green die (both fair).If they each roll until they obtain five "doubles" (1-1,....,6-6),what is the pmf of X= the total number of times a die is rolled?What are E(X) and V(X)?
asked 2021-08-15
An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn.
What is the probability that all of the balls selected are white?
What is the conditional probability that the die landed on 3 if all the balls selected are white?
...