** (a) In a certain competitive examination, a candidate commits an average of i error in every 25 questions answered. Use the Poisson distribution to find, to 3 significant figures, the probability that in 100 questions answered, there are (i) no errors committed, (ii) at most 4 errors committed. ally distributed with

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a certain competitive examination, a candidate commits an average of 1 error in every 25
questions answered. Use the Poisson distribution to find, to 3 significant figures, the probability
that in 100 questions answered, there are
(i)
4.
no errors committed,
(ii) at most 4 errors committed.
(b)
The masses of grapes from a particular orchard are normally distributed with mean u and variance
o. Given that 5% of the grapes have masses greater than 80g and 10% have masses less than 20g.
find the values of µand o giving your answers correct to 1 decimal place,
Transcribed Image Text:In a certain competitive examination, a candidate commits an average of 1 error in every 25 questions answered. Use the Poisson distribution to find, to 3 significant figures, the probability that in 100 questions answered, there are (i) 4. no errors committed, (ii) at most 4 errors committed. (b) The masses of grapes from a particular orchard are normally distributed with mean u and variance o. Given that 5% of the grapes have masses greater than 80g and 10% have masses less than 20g. find the values of µand o giving your answers correct to 1 decimal place,
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