A company always sends letters by second class post unless they are marked first class. Over a long period of time it has been established that 45 per cent of letters to be posted are marked first class. In a random selection of 10 letters to be posted, find the probability that the number marked first class is (a) at least 3, (b) fewer than 2. One Monday morning there are only 32 first class stamps. Given that there are 80 letters to be posted that day, (c) use a suitable approximation to find the probability that there are enough first-class stamps.
A company always sends letters by second class post unless they are marked first class. Over a long period of time it has been established that 45 per cent of letters to be posted are marked first class. In a random selection of 10 letters to be posted, find the probability that the number marked first class is (a) at least 3, (b) fewer than 2. One Monday morning there are only 32 first class stamps. Given that there are 80 letters to be posted that day, (c) use a suitable approximation to find the probability that there are enough first-class stamps.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A company always sends letters by second class post unless they are
marked first class. Over a long period of time it has been established that
45 per cent of letters to be posted are marked first class. In a random
selection of 10 letters to be posted, find the probability that the number
marked first class is
(a) at least 3,
(b) fewer than 2.
One Monday morning there are only 32 first class stamps. Given that there
are 80 letters to be posted that day,
(c) use a suitable approximation to find the probability that there are enough
first-class stamps.
(d) state an assumption that is required in order to make the calculation
in part (c) valid.

Transcribed Image Text:A company always sends letters by second class post unless they are
marked first class. Over a long period of time it has been established that
45 per cent of letters to be posted are marked first class. In a random
selection of 10 letters to be posted, find the probability that the number
marked first class is
(a) at least 3,
(b) fewer than 2.
One Monday morning there are only 32 first class stamps. Given that there
are 80 letters to be posted that day,
(c) use a suitable approximation to find the probability that there are enough
first-class stamps.
(d) state an assumption that is required in order to make the calculation
in part (c) valid.
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