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ID: 3072269 • Letter: T

Question

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Question 1

You are selling your product at a three-day event. Each day, there is a 60% chance that you will make money. What is the probability that you will make money on the first two days and lose money on the third day?
   0.144
   0.096
   0.288
   0.216

Question 2

Consider the table below.
             Profit Loss Total
Urban location    50    38    88
Rural location    61    84    125
Total    111    132    243

Find the probability that a randomly selected location is going to be profitable, given that it is in an urban location.
   48.8%
   36.2%
   51.4%
   56.8%

Question 3

Consider the table below.
Production location    Correct    Defective    Total
East    258    31    289
West    572    106    678
North    755    94    849
South    491    74    565
Total    2076    305    2381

Find the probability that a randomly selected product is from the West, given that it is defective.
   28.5%
   84.4%
   15.6%
   34.8%

Question 4

Classify these events. Selecting a king from a deck of cards, keeping it and selecting another king from the same deck. These events would be considered:
   Empirical
   Subjective
   Independent
   Dependent

Question 5

Classify these events. A study found that people who suffer from stress are more likely to have health issues. These events would be considered:
   Independent
   Classical
   Dependent
   Subjective

Explanation / Answer

1) probability that you will make money on the first two days and lose money on the third day

=0.6*0.6*(1-0.6) =0.144

2)

probability that a randomly selected location is going to be profitable, given that it is in an urban location =(50/88)*100=56.8%

3)

probability that a randomly selected product is from the West, given that it is defective

=(106/305)*100 =34.8%

4)

Dependent

5)

Dependent

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