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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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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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