Problem#1: A multiple choice test contains 25 questions, each wi four answers. Assume a student just guesses on each question. (a) Wh is the probability that the student answers more than 20 questic correctly? (b) What is the probability the student answers less thar questions correctly?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem#1: A multiple choice test contains 25 questions, each with
four answers. Assume a student just guesses on each question. (a) What
is the probability that the student answers more than 20 questions
correctly? (b) What is the probability the student answers less than 5
questions correctly?
Problem#2: An installation technician for a specialized communication
system is dispatched to a city only when three or more orders have
been placed. Suppose orders follow a Poisson distribution with a mean
of 0.25 per week for a city with a population of 100,000 and suppose
population of
probability that a technician is required after a one-week period? (b)
If you are the first one in the city to place an order, what is the
your
city
contains
a
800,000.
(a)
What
is
the
probability that you have to wait more than two weeks from the time
you place your order until a technician is dispatched?
Transcribed Image Text:Problem#1: A multiple choice test contains 25 questions, each with four answers. Assume a student just guesses on each question. (a) What is the probability that the student answers more than 20 questions correctly? (b) What is the probability the student answers less than 5 questions correctly? Problem#2: An installation technician for a specialized communication system is dispatched to a city only when three or more orders have been placed. Suppose orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose population of probability that a technician is required after a one-week period? (b) If you are the first one in the city to place an order, what is the your city contains a 800,000. (a) What is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?
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