I need someone that is really good in business statistics. 4 test at 10.00 each

Student ID: 22357317

Exam: 250712RR - Probability

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Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer.

1. If the probability that an event will happen is 0.3, what is the probability of the event's complement? A. 0.7

B. 0.3

C. 1.0

D. 0.1

2. The probability of an offender having a speeding ticket is 35%, having a parking ticket is 44%, having both is 12%. What is the probability of an offender having either a speeding ticket or a parking ticket or both? A. 91%

B. 67%

C. 55%

D. 79%

3. From an ordinary deck of 52 playing cards, one is selected at random. What is the probability that the selected card is either an ace, a queen, or a three? A. 0.25

B. 0.2308

C. 0.0769

D. 0.3

4. Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events? A. 28

B. 10

C. 0

D. 22

5. A breeder records probabilities for two variables in a population of animals using the two-way table given

here. Let A be the event "shaggy and brown-haired." Compute P(Ac).

Brown-haired Blond

Short-haired 0.06 0.23

Shaggy 0.51 0.20

A. 0.49

B. 0.77

C. 0.36

D. 0.51

6. Which of the following is correct concerning the Poisson distribution? A. Each event being studied must be statistically dependent on the previous event.

B. The mean is usually larger than the variance.

C. The mean is usually smaller than the variance.

D. The event being studied is restricted to a given span of time, space, or distance.

7. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of the others. What is the probability of three successes? A. 1.14

B. 0.762

C. 0.238

D. 0.055

8. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.) A. 0.3%

B. 4.5%

C. 4.2%

D. 2.1%

9. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers. A. 0.0075

B. 0.9939

C. 0.1354

D. 0.0071

10. The area under the normal curve extending to the right from the midpoint to z is 0.17. Using the standard normal table on the textbook's back endsheet, identify the relevant z value. A. 0.0675

B. 0.44

C. –0.0675

D. 0.4554

11. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Given that an animal is brown-haired, what is the probability that it's short-haired?

Brown-haired Blond

Short-haired 0.06 0.23

Shaggy 0.51 0.20

A. 0.06

B. 0.222

C. 0.105

D. 0.0306

12. An apartment complex has two activating devices in each fire detector. One is smoke-activated and has a probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently of the other. Presume a fire starts near a detector. What is the probability that both activating devices will work properly? A. 0.049

B. 0.931

C. 0.965

D. 0.9895

13. For each car entering the drive-through of a fast-food restaurant, x = the number of occupants. In this study, x is a A. joint probability.

B. dependent event.

C. discrete random variable.

D. continuous quantitative variable.

14. Approximately how much of the total area under the normal curve will be in the interval spanning 2 standard deviations on either side of the mean? A. 95.5%

B. 99.7%

C. 50%

D. 68.3%

15. Find the z-score that determines that the area to the right of z is 0.8264. A. –0.94

B. 0.94

C. 1.36

D. –1.36

16. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January, Kansas will experience exactly two tornadoes? A. 0.2087

End of exam

B. 0.4076

C. 0.1304

D. 0.2226

17. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normally distributed. The standard deviation is 6. What is the probability that the Burger Bin will sell 12 to 18 burgers in an hour? A. 0.342

B. 0.239

C. 0.136

D. 0.475

18. What is the value of ? A. 6720

B. 1.6

C. 336

D. 56

19. Each football game begins with a coin toss in the presence of the captains from the two opposing teams. (The winner of the toss has the choice of goals or of kicking or receiving the first kickoff.) A particular football team is scheduled to play 10 games this season. Let x = the number of coin tosses that the team captain wins during the season. Using the appropriate table in your textbook, solve for P(4 ≤ x ≤  8). A. 0.817

B. 0.377

C. 0.246

D. 0.171

20. In the binomial probability distribution, p stands for the A. number of successes.

B. probability of success in any given trial.

C. probability of failure in any given trial.

D. number of trials.