Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = 0.10, p(1) = 0.15, p(2) = 0.25, p(3) = 0.30, and p(4) = 0.20. a)What is the probability that at least two students show up? b) More than two students show up? (c) What is the probability that between one and three students, inclusive, show up?
Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = 0.10, p(1) = 0.15, p(2) = 0.25, p(3) = 0.30, and p(4) = 0.20. a)What is the probability that at least two students show up? b) More than two students show up? (c) What is the probability that between one and three students, inclusive, show up?
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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Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = 0.10, p(1) = 0.15, p(2) = 0.25, p(3) = 0.30, and p(4) = 0.20.
a)What is the
b) More than two students show up?
(c) What is the probability that between one and three students, inclusive, show up?
Expert Solution

Step 1
Probability of an event is computed by taking the ratio of number of favourable outcomes to total number of possible outcomes. The probability gives the chances of occurrence of an event.
Two events are called mutually exclusive if both the events cannot occur together. If two events are mutually exclusive then probability of one of them occur is equal to sum of probability of both the events, .
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