40. 1. The probability that a certain kind of cellphone will not get a cracked screen after it is dropped from a given height is 3/4. If we test 4 cellphones, find the probability of obtaining (a) exactly 2 phones with good screens. (b) at least 2 phones with good screens. (c) at most 2 phones with good screens. 2. In a factory the probability of an accident on any given day is 0.002 and accidents are independent of each other. Assuming the Poisson approximation, find the probability that in any given period of 1000 days (a) there will be an accident on one day. (b) there are at most three days with an accident.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Question
40.
1. The probability that a certain kind of cellphone will not get a cracked screen after it
is dropped from a given height is 3/4. If we test 4 cellphones, find the probability of
obtaining
(a) exactly 2 phones with good screens.
(b) at least 2 phones with good screens.
(c) at most 2 phones with good screens.
2. In a factory the probability of an accident on any given day is 0.002 and accidents are
independent of each other. Assuming the Poisson approximation, find the probability
that in any given period of 1000 days
(a) there will be an accident on one day.
(b) there are at most three days with an accident.
Transcribed Image Text:40. 1. The probability that a certain kind of cellphone will not get a cracked screen after it is dropped from a given height is 3/4. If we test 4 cellphones, find the probability of obtaining (a) exactly 2 phones with good screens. (b) at least 2 phones with good screens. (c) at most 2 phones with good screens. 2. In a factory the probability of an accident on any given day is 0.002 and accidents are independent of each other. Assuming the Poisson approximation, find the probability that in any given period of 1000 days (a) there will be an accident on one day. (b) there are at most three days with an accident.
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