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In: Statistics and Probability

Question 01 (Part A) Define the regression if the raw material used in production of a...

Question 01 (Part A)

Define the regression if the raw material used in production of a certain synthetic fiber measurement of the relative humidity the storage location and the moisture content.

Relative Humidity x

0.1×H+1

0.2×H+2

0.3×H+3

0.4×H+4

0.6×H+1

0.7×H+3

Moisture Content y

0.2×H×2

0.3×H×3

0.1×H+1

0.6×H+1

0.7×H+2

0.4×H+3

  1. Plot a graph Y vs. X showing these points or the graph is also called scatter diagram.
  2. Calculate ∑ X, ∑ Y, ∑X2, ∑Y2, ∑XY, mean of X and mean of Y.
  3. Calculate regression equation Y on X.
  4. If ? = 82 find the estimated value of Y.

(PART B)

Give an example a box contain (0.75x5H) Envelops of which (0.5x5H) contain $100 in cash. (0.10x5H) contain $25 in cash rest of the envelops contain $10.

  1. Construct a sample space for the different amount of money.
  2. Assign the probabilities to the each sample point.
  3. Find    the     probability    that     the     first    envelop     purchased     contain    less     than    $100.

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