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STAT 200 Week 3 Homework Complete Solution A+++use as a guide only

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Week 3

Instructions    

Week   #          Text                 Chapter            Exercise          page

3          1          Lane et al.                   5                      7          217

3          2          Lane et al.                   5                      25        221

3          3          Lane et al.                   5                      27        222

3          4          Illowsky et al.             3                      86        207

3          5          Illowsky et al.             3                      98        209

3          6          Illowsky et al.             3                      112      210

3          7          Illowsky et al.             3                      124      214

3          8          Illowsky et al.             4                      72        268

3          9          Illowsky et al.             4                      80        270

3          10        Illowsky et al.             4                      88        271

 

7. You flip a coin three times.

 

The possible outcomes of this random experiment are,

 

S = {(HHH), (HHT), (HTH), (THH), (HTT), (TTH), (THT), (TTT)}

 

n (S) = 8

 

(a) What is the probability of getting heads on only one of your flips?

 

The cases favorable to the event E1 of getting heads on only one of your flips are,

 

E1 = {(HTT), (TTH), (THT)}

 

n (E1) = 3

 

P (E1) = n (E1) / n (S) = 3/8 = 0.375

 

(b) What is the probability of getting heads on at least one flip?

 

The cases favorable to the event E2 of getting heads on only one of your flips are,

 

E2 = {(HHH), (HHT), (HTH), (THH), (HTT), (TTH), (THT)}

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