• The student has forgotten a 4-digits code of his credit card. What is a probability of the event that the student will get money dialing the code at random if he remembers that 1) all of the digits of the code are different, 2) the code does not contain 0 and 1?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Probability and statistics. Please be very fast
PROBABILITY
• The student has forgotten a 4-digits code of his
credit card.
What is a probability of the event that the student
will get money
dialing the code at random if he remembers that
1)
all of the digits of the code are different,
the code does not contain 0 and 1?
2)
STATISTICS
• Two independent variables X and Y are set by the
tables
x -1 2
y.
-1
3
pp0,4 0,1
p 0,3 0,7
Find
1. Mean values ux, Hy, variances ooy.
2. The distribution tables for random variables
W = 2X +Y, Z = X.Y.
3. Mean values and variances for both W and Z
by the distribution tables according to their
properties.
• The cumulative distribution function F(x) of a
continuous random variable X is given by the
equation
0, xs0;
F(x) =e-1, 0<xs1;
e-1'
1, x>%3;
a = 0;
Find
1. The probability density function f(x).
2. Plot the graphs of the functions F(x) and f(x)
3. P(a < X < B) for given values a and B.
Transcribed Image Text:PROBABILITY • The student has forgotten a 4-digits code of his credit card. What is a probability of the event that the student will get money dialing the code at random if he remembers that 1) all of the digits of the code are different, the code does not contain 0 and 1? 2) STATISTICS • Two independent variables X and Y are set by the tables x -1 2 y. -1 3 pp0,4 0,1 p 0,3 0,7 Find 1. Mean values ux, Hy, variances ooy. 2. The distribution tables for random variables W = 2X +Y, Z = X.Y. 3. Mean values and variances for both W and Z by the distribution tables according to their properties. • The cumulative distribution function F(x) of a continuous random variable X is given by the equation 0, xs0; F(x) =e-1, 0<xs1; e-1' 1, x>%3; a = 0; Find 1. The probability density function f(x). 2. Plot the graphs of the functions F(x) and f(x) 3. P(a < X < B) for given values a and B.
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