East-West Translations publishes textbooks of ancient Oriental teachings for English-speaking universities. The company currently is testing a computer-based translation service. Because Oriental symbols are difficult to translate, East-West assumes the computer program will make some errors, but then so do human translators. The computer service claims its error rate will average 3 per 400 words of translation. East-West randomly selects a 1,200-word passage. Assuming the computer company's claim is accurate and the Poisson distribution applies.
a. Determine the probability no errors will be found
b. Calculate the probability more than 14 errors will be found
c. Find the probability that fewer than 9 errors will be found
d. If 15 errors are found in the 1,200-word passage, what would you conclude about the computer company's claim? Why?
a) mean error= 3/400*1200 = 9
P(0) = mean^0*exp(-mean)/0! =9^0*exp(-9)/0!=0.00012341
P(1) = 9^1*exp(-9)/1!=0.00111
Similarly calculate for other values of x. You can also see the table for the Poisson distribution.
Discrete and continuous probability distributions are discussed for East-West Translations.