SOLUTION: Clara Nett plays a musical solo. She is quite good and figures that her probability of playing any one note right is 99%. The slo has 60 notes. a. what is her probability of

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Question 847577: Clara Nett plays a musical solo. She is quite good and figures that her probability of playing any one note right is 99%. The slo has 60 notes.
a. what is her probability of
i. getting every note right
ii. making exactly one mistake?
iii. making exactly two mistakes?
iV. Making at least two mistakes?
V. making more than two mistakes?
b. what must be Clara's probability of getting any one note right if she wants to have a 95% probability of getting all 60 notes right?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

p(note right= .99,  n = 60

P(x=60) = binompdf(60, .99, 60).

P(x=59) = binompdf(60, .99, 59).

P(x=58) = binompdf(60, .99, 58)

P(at least two mistakes) =  1 - binomcdf(60, .01, 1).

P(> 2 mistakes) = binompdf(60, .01, 2).

b. what must be Clara's probability of getting any one note right 

if she wants to have a 95% probability of getting all 60 notes right?

 x^60 = .99

 x = root%2860%2C.99%29 = .9998  0r 99.98 % probability of correct