n people drop their cell phones in a box, then randomly pick their cell phone by putting their hands in the box. Let X be the random variable representing the number of people pulling their cell phones right: a.What is the average value of the random variable X if we know that the first person to draw is the correct one? What is the variance? b.lf we know that 2 people from the first (n-1) people picked up the phone correctly, what is the average of the nth person picking up the phone correctly?

2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2

Metalworks manufactures metal sheets via its factory that operates 5x a week. During quality control phase, on average, there is 1 hairline crack in every 10 square feet of metal produced. What is the probability that three or more cracks will appear in a 5x8 foot metal panel?a. describe random variable Xb. what distribution does X follow? explainc. What is the probability that three or more flaws will appear in a 5x8 foot metal panel?

answer 6

Three university administer the same comprehensive examination to the receipients of MS degree in Business Statistics. From each institution, a random sample of MS receipients was selected, and these receipients were then given to the exam.  The following tabel shows the scores of each student from the three universities Uni A                           Uni B                         Uni C    89.                               60.                            81  95.                                95.                            70  75                                 89                            90  92                                 80                           78  99                                 66 77  At a= 0.01 , test to see if there is a significant difference  in the average scores of students from the three universities Answer needed ASAP.

Show the probability distribution of the following using a chart and ahistogram:  20 out of 30 people at a party arenon-smokers. The random variable isthe number of smokers in a selection of4 partier

2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2

Delta limited the Chief Administrative Manager analyzed the number of incoming faxes. Afteran analysis, the manager determined the probability distribution of the number of pages per fax as follows:x1234567P(x)0.050.120.20.30.150.10.08Required:Compute the mean and the variance of the number of pages per fax.

Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). x 19.8 15.3 20.4 18.1 16.2 15.5 14.7 17.1 y 89.4 73.2 95.3 86.1 78.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3           (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx =   Σy =   Σx2 =   Σy2 =   Σxy =   r =   (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and…

Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.