The continuous random variable X has cdf given by xS-1 F (x) -) ar+a 2a x+a -1srs0 Osrs1 3a otherwise Determine the value of a; (i) the pdf of X. (b) In an examination, the marks obtained by students are normally distributed with mean u and standard deviation o. If 30% of the students have more than 70 marks and 12% of students have scored less than 55 marks, find the value u and o.

The continuous random variable X has cdf given by xS-1 F (x) -) ar+a 2a x+a -1srs0 Osrs1 3a otherwise Determine the value of a; (i) the pdf of X. (b) In an examination, the marks obtained by students are normally distributed with mean u and standard deviation o. If 30% of the students have more than 70 marks and 12% of students have scored less than 55 marks, find the value u and o.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

(a),
The continuous random variable X has cdf given by
xS-1
-1srs0
F (x) - ar+a
2a x+a
Osrs1
3a
otherwise
Determine
) the value of a;
(i) the pdf of X.
(b) In an examination, the marks obtained by students are normally
distributed with mean u and standard deviation o. If 30% of the
students have more than 70 marks and 12% of students have scored less
than 55 marks, find the value u and o.
(c)
A die is tossed 60 times and the following frequencies are observed.
|outcome
Observed frequency
12 3 4| 5| 6
4 7
16
8.
8 7
Using a x test, test at 5% level whether the die is fair.

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