Question

# 1. Based on the information, please compute the following measures: Daily Supply (y) Unit Price (x)...

1. Based on the information, please compute the following measures:

 Daily Supply (y) Unit Price (x) 15 11 13 12 17 15 19 8 16 9

(1) Mean for variable y and for x.

(2) Standard deviation for variable y and for variable x. (Please show the detail computation steps. Please don’t just give an answer from Excel functions or calculator functions. Otherwise, you will not get all the points.)

[Hint: (Please see Slide 26 of Chapter 3 for formula). Please also see related materials in the textbook.)]

2. You are given the following information on Events A, B, C, and D.

P(A) =0.43   P(A ⋃ C) =0.6

P(B) =0.25   P(A | B) =0.2

P(D) =0.35 P(A ∩ C) =0 .04 P(A ∩ D) =0 .05

a.       Compute P(C).

b.       Compute P(A ∩ B).

c.       Compute P(A | D).

c.       Compute P(D | A).

Hint: [Please see Chapter 4 – Slides 22 - 23 for definition of union of events, see Slides 24 - 25 for definition of intersection of events, and Slide 26 for Addition Law.]

3. As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.6 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.3.

(1) If you get a raise, what is the probability that you will also get a promotion?

(2) Are getting a raise and being promoted independent events? Explain using probabilities.

(3) Are these two events mutually exclusive? Explain using probabilities.

• Calculations for s.d ( y )
 data data-mean (data - mean)2 15 -1 1 13 -3 9 17 1 1 19 3 9 16 0 0

Find the sum of numbers in the last column to get.

∑(yi− y bar)2=20

• Calculations for s.d ( x)

Create the following table.

 data data-mean (data - mean)2 11 0 0 12 1 1 15 4 16 8 -3 9 9 -2 4

Find the sum of numbers in the last column to get.

∑(xi−X bar)2=30

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