6. Let X1, X2, X3 be a random sample from the uniform distribution on the

interval (0, 1). What is the probability that the sample median is less than

0.4?

7. Let X1, X2, X3, X4, X5 be a random sample from the uniform distribution

on the interval (0, ?), where ? is unknown, and let Xmax denote the largest

observation. For what value of the constant k, the expected value of the

random variable kXmax is equal to ??

8. A random sample of size 16 is to be taken from a normal population having

mean 100 and variance 4. What is the 90th percentile of the distribution of

the sample mean?

1. Which of coming up next is a discrete irregular variable? a. The normal measure of power devoured b. The quantity of patients in an emergency clinic c. The measure of paint utilized in repainting a structure d. The normal load of female competitors _______2. In the event that two coins are thrown, which is certainly not a potential worth of the irregular variable for the quantity of heads? a. 0 b. 1 b. c. 2 d. 3 _______3. Which of coming up next is definitely not a genuine explanation? a. The worth of an irregular variable could be zero. b. Arbitrary factors can just have one worth. c. The likelihood of the worth of an arbitrary variable could be zero. d. The amount of the multitude of probabilities in a likelihood dissemination is consistently equivalent to one. _______4. Which equation gives the likelihood dissemination appeared by the table? X 2 3 6 P(X) a. b. c. d. _______5. In the event that , what are the potential upsides of X for it to be a likelihood dispersion? a. 0, 2, 3 b. 1, 2, 3 c. 2, 3, 4 d. 1, 1, 2 For numbers 6 - 8, allude to the likelihood dissemination appeared underneath. X 0 1 2 3 P(X) _______6. What is the mean of the likelihood conveyance? a. 1.5 b. 1.2 c. 1.6 d. 1.8 _______7. What is the fluctuation of the likelihood circulation a. 0.75 b. 1.00 c. 1.25 d. 0.50 _______8. What is the standard deviation of the likelihood conveyance? a. 1.00 b. 0.87 c. 1.12 d. 0.71 X 0 2 4 6 8 P(X) For numbers 9 - 10, allude to the likelihood dispersion appeared underneath. _______9. What is the mean of the likelihood dissemination? a. 1.5 b. 2.0 c. 3.5 d. 4.0 ________10. What is the change of the likelihood dissemination? a. 4.15 b. 6.35 c. 8.00 d. 7.50 ________11. Which of the accompanying assertions is right? a. The mean of the testing appropriation of the methods is not exactly the populace mean. b. The mean of the examining conveyance of the example implies is more noteworthy than the populace mean. c. The methods for the examples drawn from a populace are consistently equivalent to the populace mean. d. The methods for the examples drawn from a populace might be equivalent, more noteworthy than or not exactly the populace mean. _______12. A specific populace has a mean of 15.4 and a standard deviation of 5.6. On the off chance that arbitrary examples of size 5 is taken from this populace, which of the accompanying assertions is right? a. The mean of the testing dissemination of the example implies is equivalent to 15.4. b. The mean of the testing dispersion of the example implies is not exactly to 15.4. c. The standard deviation of the testing dispersion of the example implies is 5.6. d. The standard deviation of the testing appropriation of the example implies is 15.4. _______13. In the event that the change of the populace is 10, what is the fluctuation of the testing dissemination of the methods for size 5 drawn from this limitless populace? a. 2 b. 4.47 c. 1.41 d. 10 _______14. What is the square base of difference? a. Mean b. change c. standard deviation d. mode _______15. The amount of the information partitioned by the all out number of information is called ________. a. Mean b. change c. standard deviation d. mode. I. Give your own 5 instances of Discrete irregular variable 16. 17. 18. 19. 20. II. Give your own 5 instances of Continuous irregular variable 21. 22. 23. 24. 25.

?

Question: With a 90% of confidence level determine if the following distribution is Binomial or Poison. X freq 0 150 1 160 2 120 3 100 A 90 Determine the expected frequency of the Binomial Distribution for x=3. Determine the Experimental Chi-Square for the Binomial Distribution. Determine the Expected frequency for the Poison Distribution when x=2 Determine the Experimental Chi-Square for the Poison Distribution. Is Binomial Distribution or Poison Distribution.(a). Suppose X has a Poisson distribution with parameter ?=11.44. Find the following. (i). The mean of X. (ii).The standard deviation of X. (b). The number of lightning strikes in a year at the top of particular mountain has a poison distribution with parameter ?=29. Find the following. (i). The probability that in a randomly selected year the number of striking is less than or equal to 5. (ii). The probability that in a randomly selected year the number of striking is greater than 5. (c).The probability that a call received by a certain switchboard will be a wrong number is 1 per 100 calls. Use poison approximation to the binomial distribution to find the probability that among 120 calls received by the switchboard, (i).There is no wrong numbers. (ii).There is exactly one wrong number. (iin). There are exactly two wrong numbers. (iv). There are exactly three wrong numbers. (v). There are at most three wrong numbers.(b) The probability of a professional basketball player shooting into the basket is 0.3. He is going to shoot 10 times. i) What is the probability that he scores 3 times? (1 mark) ii) What is the probability that he scores more than 7 times? (3 marks) c) In a session of basketball game, the average number of slam dunk is 3. Assuming that the distribution of slam dunk follows a Poisson Distribution, i) find the probability of having 5 slam dunk in a session; (1 mark) ii) find the probability of at least 2 slam dunk in a session. (3 marks)1. If a keyboard operator averages 2 errors per page of newsprint and if these errors follow a Poisson process, what is the probability that a. exactly 4 errors will be found on a given page? b. at least 2 errors will be found on a given page? 2. Crossville police records show that there has been an average of 4 accidents per week on Crossville's new freeway. If these accidents follow a Poisson process, what's the probability that a. the police must respond to exactly 6 accidents in a week? b. that the police must respond to fewer than two accidents in a week? 3. Bigrig Trailer Corporation uses large panels of sheet metal in the manufacture of tandem trailers. If there is an average of 3 blemishes per panel and if the blemishes follow a Poisson process, what is the probability that a. there will be no blemishes on a given panel? b. there will be exactly 2 blemishes on a given panel? 4. The student health center at Oklahoma State University in Stillwater treats an average of 10 cases of severe alcohol poisoning a semester. Assuming a Poisson distribution, find the probability that a. that the health center treats twelve cases of severe alcohol poisoning a semester. b. the health center treats fewer than 5 cases of severe alcohol poisoning a semester. c. the health center treats more than 15 cases of severe alcohol poisoning a semester