(b) The continuous random variable X has the probability density function 3 f(x) =x² for interval [0,2]. (i) (ii) Compute the probability of X for interval [0,1]. Compute the mean of the distribution X.
(b) The continuous random variable X has the probability density function 3 f(x) =x² for interval [0,2]. (i) (ii) Compute the probability of X for interval [0,1]. Compute the mean of the distribution X.
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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Question
part B
![Question 1
(a) An online shop advertises that it will deliver the products ordered within 3 to 4 days.
The manager wanted to check the accuracy of the number of days needed to deliver
the products to customers and prepare the following probability distribution table.
Number of Days
1
3
4
5
6
7
P(X)
0.24
0.2
k
0.14
0.02
0.01
(i)
(ii)
(iii)
(iv)
Solve for k.
Compute the probability that a delivery will be on time.
Compute the probability that a delivery will be late.
Compute the standard deviation of the distribution X.
(b) The continuous random variable X has the probability density function
f(x) = x? for
interval [0,2].
%3D
(i)
(ii)
Compute the probability of X for interval [0,1].
Compute the mean of the distribution X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2301df6-3a95-4265-ae4d-aabbf03d3289%2Fedeebf84-179f-49f0-8c42-b4213efee11c%2Fmgyzw1n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
(a) An online shop advertises that it will deliver the products ordered within 3 to 4 days.
The manager wanted to check the accuracy of the number of days needed to deliver
the products to customers and prepare the following probability distribution table.
Number of Days
1
3
4
5
6
7
P(X)
0.24
0.2
k
0.14
0.02
0.01
(i)
(ii)
(iii)
(iv)
Solve for k.
Compute the probability that a delivery will be on time.
Compute the probability that a delivery will be late.
Compute the standard deviation of the distribution X.
(b) The continuous random variable X has the probability density function
f(x) = x? for
interval [0,2].
%3D
(i)
(ii)
Compute the probability of X for interval [0,1].
Compute the mean of the distribution X.
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