Q14: A radar unit catches (photographs) over-speeding cars. It is estimated that 25% of the cars travelling on a highway over-speed: (a) How many cars should pass the radar unit, so that we are 92% sure that at least two of them are caught over-speeding? (b) Out of 200 cars passing by this radar unit, what is the probability that at least 50, but less than 80 cars are caught?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q14: A radar unit catches (photographs) over-speeding cars. It is estimated that 25% of the cars
travelling on a highway over-speed:
(a) How many cars should pass the radar unit, so that we are 92% sure that at least two of them
are caught over-speeding?
(b) Out of 200 cars passing by this radar unit, what is the probability that at least 50, but less
than 80 cars are caught?
Transcribed Image Text:Q14: A radar unit catches (photographs) over-speeding cars. It is estimated that 25% of the cars travelling on a highway over-speed: (a) How many cars should pass the radar unit, so that we are 92% sure that at least two of them are caught over-speeding? (b) Out of 200 cars passing by this radar unit, what is the probability that at least 50, but less than 80 cars are caught?
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