loniamasangu95 loniamasangu95
  • 02-07-2020
  • Computers and Technology
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Supposethatyoubet$5oneachofasequenceof50independentfairgames. Usethecentrallimittheorem to approximate the probability that you will lose more than $75

Respuesta :

Munali Munali
  • 09-07-2020

Answer:

0.119

Explanation:

50 independent fair games

Mean will be 50/2 = 25

Standard deviation of the loosing probability is :

[tex]\sqrt{50*0.5*0.5}[/tex] * 10 = 33.536

we have to loose 33 times out of 50 games.

To find the approximate probability we use z- value table.

z value =  [tex]\frac{33-25}{3.35}[/tex]

z - value = 2.2659

Looking at the z-value table we get 0.119.

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