a) there is no negative covid-19 test? b) exactly two covid-19 tests are negative? c) between two and four (inclusive) covid-19 tests are negative? (hi d) at most three covid-19 tests are negative? e) At least two covid-19 tests are negative? f) Exactly 3 covid-19 tests are positive? 2. Find: a) The expected number of the number of negative covid-19 tests. b) The standard deviation of the number of negative covid-19 tests.
a) there is no negative covid-19 test? b) exactly two covid-19 tests are negative? c) between two and four (inclusive) covid-19 tests are negative? (hi d) at most three covid-19 tests are negative? e) At least two covid-19 tests are negative? f) Exactly 3 covid-19 tests are positive? 2. Find: a) The expected number of the number of negative covid-19 tests. b) The standard deviation of the number of negative covid-19 tests.
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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Step 1
Let , X be the number of negative covid-19 test.
Since , the probability distribution of X is given by ,
X | 0 | 1 | 2 | 3 | 4 |
P(x) | 0.02 | 0.08 | 0.1 | 0.3 | 0.5 |
Our aim is to find the following :
5.1 )
(a) P(X=0)
(b) P(X=2)
(c)
(d)
(e)
(f) P(X=3)
5.2 )
(a) E(X)
(b) Standard deviation
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