試題詳解

305. A company administers a typing test to screen applicants for a secretarial position. In order to pass the test, an applicant must complete the test in 50 minutes with no more than one error. Historical data reveals the following about the population of applicants:
i) The number of test errors follows a Poisson distribution with mean 3.
ii) The time required to complete the test follows a normal distribution with mean 45 and standard deviation 10.
iii) The number of errors and the time required to complete the test are independent.
Calculate the probability that an applicant chosen at random will pass the test.
(A) 0.10
(B) 0.14
(C) 0.19
(D) 0.84
(E) 0.89