ONLY PARTS A AND C 1-10.8 A file containing 10,000 characters is to be transferr

Question

ONLY PARTS A AND C

1-10.8 A file containing 10,000 characters is to be transferred from one computer to another. The probability of any one character being transferred in error is 0.001. a) Find the probability that the file can be transferred without any errors. b) Using the Laplace theorem, find the probability that there will be exactly 10 errors in the transferred file. c) What must the probability of error in transferring onecharacter be in order to make the probability of transferring the entire file without error as large as 0.99?

Explanation / Answer

a)

P(x=0)= 10000C0 * 0.001^0 * (1-0.001)^10000

P(X=0)= 0.000045173

b)

0.01= 10000C1 * p^1 * (1-p)^10000-1

p = 0.0000001

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