f(x) 0.5

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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solve only 4 and 5 plz

(1) Which of the following functions is a valid probability density function (p.d.f.)?
f(x),
f(x) 1
0.5
-1
(a)
1
2
(b)
-1
(c) f(x) ==, 0 <x < 2
(d) f(x) = x², 1<x< 2
(2) The probabilities of events A, B and C in an experiment are 0.2, 0.68, and 0.1, respectively.
We know that event C belongs to A (C c A), and that B and C are independent. What is
P(AN Bn C)?
(а) 0.068
(b) 0.136
(c) 0.98
(d) 0.78
0,
x <-1
(3) F(x) =
**1,-1< x< 2 is a cumulative distribution function. What is P(0 < X < 2)?
9
1,
x > 2
(a) ;
(b)}
(c)
(d)
3
(4) The following table represents the price distribution of all different bags in a store. What are
the population and population size, respectively?
(a) A bag, 65
Price (S)
Frequency
25
15 – 19.99
(b) All bags in the store, 65
20 – 24.99
19
(c) All bags in the store, not known
25 – 29.99
13
30 – 34.99
8
(d) A bag, not known
(5) 9 students are waiting in a line to get on the bus. Among them, 3 are close friends and insist
on sticking together in the line. In how many ways can this line be formed?
() C)
(b) )-3!
|×6!
(с) 3!x6!
(d) 3!×7!
NIM
Transcribed Image Text:(1) Which of the following functions is a valid probability density function (p.d.f.)? f(x), f(x) 1 0.5 -1 (a) 1 2 (b) -1 (c) f(x) ==, 0 <x < 2 (d) f(x) = x², 1<x< 2 (2) The probabilities of events A, B and C in an experiment are 0.2, 0.68, and 0.1, respectively. We know that event C belongs to A (C c A), and that B and C are independent. What is P(AN Bn C)? (а) 0.068 (b) 0.136 (c) 0.98 (d) 0.78 0, x <-1 (3) F(x) = **1,-1< x< 2 is a cumulative distribution function. What is P(0 < X < 2)? 9 1, x > 2 (a) ; (b)} (c) (d) 3 (4) The following table represents the price distribution of all different bags in a store. What are the population and population size, respectively? (a) A bag, 65 Price (S) Frequency 25 15 – 19.99 (b) All bags in the store, 65 20 – 24.99 19 (c) All bags in the store, not known 25 – 29.99 13 30 – 34.99 8 (d) A bag, not known (5) 9 students are waiting in a line to get on the bus. Among them, 3 are close friends and insist on sticking together in the line. In how many ways can this line be formed? () C) (b) )-3! |×6! (с) 3!x6! (d) 3!×7! NIM
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