The quantity of clients hanging tight for blessing wrap administration at a retail chain is a rv X with potential qualities 0, 1, 2, 3, 4 and comparing probabilities 0.1, 0.2, 0.3, 0.25, 0.15. A haphazardly chosen client will have 1, 2, or 3 bundles for wrapping with probabilities 0.5, 0.25, and 0.25, separately. Let Y = the complete number of bundles to be wrapped for the clients holding up in line (accept that the quantity of bundles put together by one client is autonomous of the number presented by some other client).

(a)

Decide P(X = 3, Y = 3), i.e., p(3, 3). (Round your response to four decimal spots.)

P(X = 3, Y = 3) =

(b)

Decide p(4, 11). (Round your response to four decimal spots.)

p(4, 11) =

A teacher has given a short test comprising of two sections. For a haphazardly chosen understudy, let X = the quantity of focuses acquired on the initial segment and Y = the quantity of focuses procured on the subsequent part. Assume that the joint pmf of X and Y is given in the going with table.

y

p(x, y)

0 5 10 15

x 0 0.03 0.06 0.02 0.10

5 0.04 0.17 0.20 0.10

10 0.01 0.15 0.11 0.01

(a) Compute the covariance for X and Y. (Round your response to two decimal spots.)

Cov(X, Y) =

(b) Compute ? for X and Y. (Round your response to two decimal spots.)

i6i

? =

The normal number of Hate Crimes in the United States each year (1991 to 2018) is roughly 7900 every year with a standard deviation of around

1200 disdain wrongdoings each year.

In what reach would you hope to track down the center 95% of disdain violations each year?

Among Incorrect and Incorrect.

If you somehow happened to draw an example of 10 years' worth of disdain violations, in what reach would you hope to track down the center 95% of normal number of Hate Crimes each year in this example?

Between Incorrect a

Passable mechanical properties for foundational layout

of metallic aviation vehicles requires a supported

technique for genuinely examining exact test information.

The article "Setting up Mechanical Property

Allowables for Metals" (J. of Testing and Evaluation,

1998: 293-299) utilized the going with information on tractable

extreme strength (ksi) as a reason for tending to

the troubles in growing such a technique.

122.2 124.2 124.3 125.6 126.3 126.5 127.2 127.3

127.5 127.9 128.6 128.8 129.0 129.2 129.4 129.6 130.2

130.4 130.8 131.3 131.4 131.5 131.6 131.8

131.8 132.3 132.4 132.5 132.6

132.7 132.9 133.0 133.1 133.2

133.2 133.3 133.5 133.8 133.9 134.0

134.0 134.1 134.2 134.3 134.4 134.6

134.7 134.8 134.9 135.2

135.2 135.3 135.4 135.5 135.6

135.7 135.8 135.9

135.9 136.0 136.1 136.2 136.3 136.4

136.6 136.8 136.9 137.0 137.1 137.2 137.6

137.8 137.9 138.2 138.3

138.4 138.5 138.6 138.7 139.0

139.1 139.5 139.6 139.8 140.0 140.7

140.9 141.2 141.4 141.5 141.6 142.9 143.4 143.5

143.6 143.8 143.9 144.1 144.5 147.7

b. Develop a histogram utilizing equivalent width classes

with the five star having a lower breaking point of 122 and an

furthest constraint of 124. At that point remark on any fascinating

highlights of the histogram.

PART 2:

QUESTION:

The world happiness report 2017 provides a happiness score for countries using the data collected by the Gallup World Poll. Assuming happiness score is approximately normal with mean 5.35 with a standard deviation of 1.13, answer the below questions.

What percentage of countries has a happiness score of at least 7.0?

What percentage of countries has a happiness score less than 3.0?

What percentage of countries has a happiness score in between 3.0 and 6.0?

PART 3:

A large distributor has 6 retail outlets. Currently each outlet manages its ordering independently. Demand at each retail outlet averages 1200 per day. Assume there are 250 days per year. Each unit of product costs 120 dollars, and holding cost per unit of product per year is 18% of the product cost. The fixed cost of each order (administrative plus transportation) is 900 dollars in the decentralized system. The fixed cost of each order in the centralized system is twice of the decentralized system. Holding cost per unit are the same in the two systems.

3a. How much should ALL the warehouses order together to minimize the total cost in the CENTRALIZED system?

3B. How much does EACH warehouse need to order individually to minimize the total cost in the DECENTRALIZED system?

PART 4:

Please explain this!