(a) Obtain two simultaneous equations for a a and b value of a and b, show that a = 1.5 and find the value of b. (b) Variance of X. (c) Find the c.d.f F(x) and hence evaluate F(2)
(a) Obtain two simultaneous equations for a a and b value of a and b, show that a = 1.5 and find the value of b. (b) Variance of X. (c) Find the c.d.f F(x) and hence evaluate F(2)
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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Transcribed Image Text:Question 6
Total filling station is supplied with paraffin once a week. The weekly demand, X hundred litres,
has the probability density function:
[ax-bx² ,0sxs2
S(x) =;
.elsewhere.
Observations on X indicate that the average paraffin supplied (in hundreds of litres) is 1. Find the:
(a) Obtain two simultaneous equations for a a and b value of a and b , show that a = 1.5 and
find the value of b.
(b) Variance of X.
(c) Find the c.d.f F(x) and hence evaluate F (2)
(d) If two independent observation are made on X what is the probability that at least one of
them is less than ?
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