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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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In the experiment of rolling two fair 6-sided dice, Leonard considers the outcome a "success" if the sum of
the die results is either 5 or 6. Leonard performs this trial 4 times.
In tossing two fair coins, Mildred considers the outcome a "success" if both coins land on "Heads." Mildred
performs this trial 3 times.
In rolling a fair 4-sided die (with edges numbered 1, 2, 3, and 4, respectively), Nigel considers it a "success"
if he rolls a "1." Nigel performs this trial 5 times.
Among the (collective) trials of Leonard, Mildred, and Nigel, what is the probability that exactly 3 successes
occur?
(Answer as a decimal number, and round to 3 decimal places).
Transcribed Image Text:In the experiment of rolling two fair 6-sided dice, Leonard considers the outcome a "success" if the sum of the die results is either 5 or 6. Leonard performs this trial 4 times. In tossing two fair coins, Mildred considers the outcome a "success" if both coins land on "Heads." Mildred performs this trial 3 times. In rolling a fair 4-sided die (with edges numbered 1, 2, 3, and 4, respectively), Nigel considers it a "success" if he rolls a "1." Nigel performs this trial 5 times. Among the (collective) trials of Leonard, Mildred, and Nigel, what is the probability that exactly 3 successes occur? (Answer as a decimal number, and round to 3 decimal places).
5 and a = 0.56, that X2 is a
Suppose that X1 is a negative binomial random variable with parameters k
negative binomial random variable with parameters k2 = 8 and a2 = 0.5, and that X3 is a negative binomial
random variable with parameters k3
4 and az =
0.69. If X1, X2, X3 are independent, then find the
standard deviation of 3X1
– «X2 + V2X3.
(Answer as a decimal number, and round to 3 decimal places).
Transcribed Image Text:5 and a = 0.56, that X2 is a Suppose that X1 is a negative binomial random variable with parameters k negative binomial random variable with parameters k2 = 8 and a2 = 0.5, and that X3 is a negative binomial random variable with parameters k3 4 and az = 0.69. If X1, X2, X3 are independent, then find the standard deviation of 3X1 – «X2 + V2X3. (Answer as a decimal number, and round to 3 decimal places).
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