A PC research office in a school has 33 PCs. All of the 33 PCs

has 90% relentless quality. Considering 10% of the PCs to be down, an instructor

shows an enrollment top of 30 for his gathering. Expect that a class of 30 understudies is

taken into the lab.

a. What is the probability that all of the 30 understudies will get a PC in

working condition?

b. The instructor is stunned to see the low assessment of the reaction to (a) and

decides to improve it to at any rate 95% by doing one of the going with:

I. Reducing the enrollment rooftop.

ii. Growing the amount of PCs in the lab.

iii. Growing the unfaltering nature of the huge number of PCs.

Expect Edward didn't do the webwork issue about understudies subjectively estimating on different choice tests and Edward is presently taking an alternate choice test which includes 100 various choice inquiries. Each extraordinary choice inquiry involves 4 other options. If the base number of right reactions for floating through the test is 60, what is the probability that Edward passes if he aimlessly construes on each issue? (Compassionately Do not disregard to check certain conditions.)

A gathering association reliably eats up an uncommon kind of glue pur-sought after from a new supplier. Since the supplier is new, the deferral between presenting a solicitation and tolerating the shipment against that solicitation is long and problematic. This postponement is assigned "lead time." From past experience, the materials boss notes that the association's advantage for stick during the uncertain lead time is commonly dis-tributed with a mean of 187.6 gallons and a standard deviation of 12.4 gallons. The association follows a methodology of presenting a solicitation when the glue stock tumbles to a pre-chosen worth called the "reorder point." Note that if the reorder point is x gallons and the interest during lead time outperforms x gallons, the glue would go "stock-out" and the creation cycle would have to stop. Stock-out conditions are thusly certified.

\15\

a. b. c.

d.

If the reorder point is kept at 187.6 gallons (comparable to the mean intrigue during lead time) what is the probability that a stock-out condition would occur?

If the reorder point is kept at 200 gallons, what is the probability that a stock-out condition would occur?

If the association should be 95% certain that the stock-out condition will not occur, what should be the reorder point? The reorder point short the mean interest during lead time is known as the "security stock." What is the prosperity stock for the present circumstance?

If the association should be 99% sure that the stock-out condition will not occur, what should be the reorder point? What is the prosperity stock for the present circumstance?

The Crestview Printing Company prints a particularly well known Christmas card once

a year and spreads the cards to composing material and gift shops all through the United

States. It costs Crestview 50 pennies to print each card, and the association gets

65 pennies for each card sold.

Since the cards have the current year engraved on them, those cards that are assuredly not

sold are all around discarded. Considering past experience and figures of current buying practices, the probability appointment of the amount of cards to be sold

crosscountry for the accompanying Christmas season is evaluated to be

Sum Sold Probability

100,000-150,000 .10

150,001-200,000 .15

200,001-250,000 .25

250,001-300,000 .20

300,001-350,000 .15

350,001-400,000 .10

400,001-450,000 .05

Choose the amount of cards that Crestview should print this year

Block introduction researcher investigates if the level of testosterone influences the level of risk-taking behaviour among adolescents. Risk-taking behaviour is measured on a 7 -po cale. his is an example of. Bivariate statistics with testosterone as dependent variable Univariate statistics with testosterone as independent variable Bivariate statistics with testosterone as independent variable Inivariate statistics with testosterone as dependent variable\f(a)Show that a random vector X has a multivariate normal distribution if, and only if, every linear combination, 0 . X = 01X1 + 02X2 + . . . + 0nXn, 0 e R^n , of the components has a univariate normal distribution. (b) Suppose that a random vector X = (X1, X2, . . ., Xn) has a multivariate normal distribution. Use the previous result to show the following: (i) Show that Y = (X1, X2) also has a multivariate normal distribution. (ii) Let ai e R be given constants and form the random vector Z = (alX1 + a2X2, a3X3 + a4X4). Show that Z has a multivariate normal distribution.Question 31 1 pts A correlation heat map is best used for: O Bivariate data when both columns are numeric Multivariate data when all columns are ordinal Multivariate data when all columns are nominal Multivariate data when all columns are numeric