For a population of five individuals, bike ownership is as follows:
(A) = 2; (B) = 1; (C) = 3; (D) = 4; (E) = 2
Determine the probability distribution for the discrete random variable, x = # bikes:
(1) Calculate the population mean.
(2) Calculate the population standard deviation.
(3) For a sample size n=2, determine the mean number of bikes for the two person pair.
(4) How many two person outcomes lead to a mean of 1.5 (note: for consistency, count (A,B) and (B,A) as two separate outcomes)?
(5) What is the P(x̅) = 1.5?
(6) What is the mean of this sampling distribution (n=2)?
(7) What is the standard deviation of this sampling distribution (n=2)?

A probability experiment is conducted in which the sample space of the experiment is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}​,

event F={4, 5, 6, 7, 8}​, and event G={8, 9, 10, 11}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.

List the outcomes in F or G. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. F or G =_________

​(Use a comma to separate answers as​ needed.)

B. F or G =_________

10. One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The distribution of tire wear is normally distributed with a population standard deviation of 15,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample of 49 tires revealed that the mean number of miles is 45,000 miles. If we test the hypothesis with a 0.05 significance level, what is the probability of a Type II error if the actual true tire mileage is 45,000 miles? Seleccione una: A. Type II error = 0.4524 B. Type II error = 0.2549 C. Type II error = 0.2451 D. Type II error = 0.4925

The probability that a person living in a certain city owns a dog is estimated to be 0.35. Find the probability that the eleventh person randomly interviewed in that city is the eighth one to own a dog.

The probability that eleventh person randomly interviewed in that city is the eighth one to own a dog is

For any given year, the probability that a McDonalds makes a profit is 0.78 and the probability that they make charitable contributions is 0.23.
Assuming that these two events are independent, find the probability (rounded to 4 decimal places) that McDonalds will make a profit and make charitable contributions in 2020:

A coin is tossed 12 times. a) How many different outcomes are possible? b) What is the probability of getting exactly 3 heads? c) What is the probability of getting at least 2 heads? d) What is the probability of getting at most 8 heads?

A single card is chosen at random from a deck of 52 cards, the probability that a club card is selected is 1/4. Does this probability mean that, if you choose a card at random 8 times, a club will appear twice? If not, what does it mean?

Probability?

A statistical analysis of​ 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally​ distributed, with a mean of

280280

seconds and a standard deviation of

3030

seconds. Complete parts​ (a) through​ (d).

a.

What is the probability that a call lasted less than

230230

​seconds?The probability that a call lasted less than

230230

seconds is

. 0478.0478 .

​(Round to four decimal places as​ needed.)

b.

What is the probability that a call lasted between

230230

and

340340

​seconds?The probability that a call lasted between

230230

and

340340

seconds is

. 9295.9295 .

​(Round to four decimal places as​ needed.)

c.

What is the probability that a call lasted more than

340340

​seconds?The probability that a call lasted more than

340340

seconds

. 9772.9772 .

​(Round to four decimal places as​ needed.)

d.

What is the length of a call if only

2.5 %2.5%

of all calls are​ shorter?

2.52.5​%

of the calls are shorter than

nothing

seconds.

​(Round to two decimal places as​ needed.)

A statistical analysis of​ 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally​ distributed, with a mean of

280280

seconds and a standard deviation of

3030

seconds. Complete parts​ (a) through​ (d).

a.

What is the probability that a call lasted less than

230230

​seconds?The probability that a call lasted less than

230230

seconds is

. 0478.0478 .

​(Round to four decimal places as​ needed.)

b.

What is the probability that a call lasted between

230230

and

340340

​seconds?The probability that a call lasted between

230230

and

340340

seconds is

. 9295.9295 .

​(Round to four decimal places as​ needed.)

c.

What is the probability that a call lasted more than

340340

​seconds?The probability that a call lasted more than

340340

seconds

. 9772.9772 .

​(Round to four decimal places as​ needed.)

d.

What is the length of a call if only

2.5 %2.5%

of all calls are​ shorter?

2.52.5​%

of the calls are shorter than

nothing

seconds.

​(Round to two decimal places as​ needed.)