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otez555 [7]
4 years ago
11

Scott has $500 in the bank. He withdraws the same amount of money each week for 12 weeks, at which point he has $20 left in the

bank. How much money did he withdraw each week?
Mathematics
1 answer:
Gre4nikov [31]4 years ago
8 0
Scott knew that the only chance we would have to answer this problem would be if he kept his money in a bank that pays no interest, so that's what he did.  The bank simply stored his money in a mayonnaise jar under a tightly-guarded mattress, and he was allowed to come in and take some out of it each week.

He started with $500. He withdrew (500 - 20) = $480 in 12 weeks.

So he must have come in and picked up 480/12 = $40 each week.
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The required probability is 1 - 0.330 = 0.6697 .

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q = 1 - ( 1 / 6 )

  = 5 / 6

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Mean = np

 =  84 * ( 1 / 6 )

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npq = 14 * ( 5 / 6 )

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Applying normal approximation ,

To calculate P ( x < 12 ) = P { Z < [ ( 12 - 14 ) / ( 11.667^{1/2} ) ] }

                                       = P [ Z < ( - 2 ) / ( 3.416 ) ]

                     P  [ Z < - 0.585 ] = 0.279

Therefore , the probability 2 occurs more than 12 times = 1 - 0.279

                                                                                      = 0.721

Applying continuity correction ,

P ( x < = 12 ) = P ( x < 12.0 + 0.5 ) = P ( x < 12.5 )

                                                     = P [ Z < ( 12.5 - 14 ) / 3.416 ]

                                               = P ( Z < - 0.439 )

                                                  = 0.330

Hence , the required probability is 1 - 0.330 = 0.6697 .

To know more on probability refer link :

brainly.com/question/24756209

#SPJ4

                                   

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