1 answer

A binomial probability experiment is conducted with the given parameters. Use technology to find the probability...

Question:

A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment. Use the Tech Help button for further assistance. n=6​, p=0.650, x<4


Answers

Solution :

Given that ,

p = 0.650

1 - p = 1 -0.650 = 0.350  

n = 6

Using binomial probability formula ,

P(X < 4 ) = ((n! / (n - x)!) * px * (1 - p)n - x

So,

p (x < 4 ) =p (x = 0 )+ p (x = 1) + p (x = 2 ) +  p (x = 3 )   

  = (6 ! / (6- 0)!) * .0.6500 * 0.350 )6- 8

  = (6 ! / (6 - 1)!) * 0.6501 * 0.350 )6- 7

  = (6 ! / (6 - 2)!) * 0.6502 * 0.350 )6 - 6

= (6 ! / (6 - 3)!) * 0.6503 * 0.350 )6 - 5

p ( x < 4 ) = 0.3529

Probability = 0.3529

.

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