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26.11.2019 •
Mathematics
The expected number of typographical errors on a page of a certain magazine is .2. what is the probability that an article of 10 pages contains (a) 0 and (b) 2 or more typographical errors? explain your reasoning!
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Ответ:
a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.
b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.
Step-by-step explanation:
Given : The expected number of typographical errors on a page of a certain magazine is 0.2.
To find : What is the probability that an article of 10 pages contains
(a) 0 and (b) 2 or more typographical errors?
Solution :
Applying Poisson distribution,
where, n is the number of words in a page
and p is the probability of every word with typographical errors.
Here, n=10 and E(N)=np=0.2
a) The probability that an article of 10 pages contains 0 typographical errors.
Substitute r=0 in formula,
The probability that an article of 10 pages contains 0 typographical errors is 0.8187.
b) The probability that an article of 10 pages contains 2 or more typographical errors.
Substitute
in formula,
The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.
Ответ:
a
Step-by-step explanation: