Probability > Probability distribution
1234Probability distribution

Solutions to the exercises

Exercise 1
a
b

Expected value is 2

c

300

Exercise 2
a
b
Exercise 3
a

0, 1, 2, 3, 4

b
c

Approximately 1.3

Exercise 4
a
b

The expected value is

12,25 12,00 13 36
Exercise 5
a

P ( S = 3 ) = 0 . 25 ; P ( S = 4 ) = 0 . 375 and P ( S = 5 ) = 0 . 375 . The expected value is 4.125 sets.

b

412 or 413 sets

c

P ( S = 3 ) 0 . 49 ; P ( S = 4 ) 0 . 24 and P ( S = 5 ) 0 . 27 . The expected value is approximately 3.8 sets.

d

P ( S = 3 ) = 0 . 49 ; P ( S = 4 ) = 0 . 273 and P ( S = 5 ) = 0 . 237

e

Approximately 3.75

Exercise 6
a
b

3 euros

c

0.046875

Exercise 7
a

P ( M = 0 ) 12 . 17 % and P ( M = 1 ) 37 . 46 %

b

P ( M = 2 ) 36 . 12 % ; P ( M = 3 ) 12 . 84 % en P ( M = 4 ) 1 . 40 %

c

P ( V = 0 ) = P ( M = 4 ) etcetera.

d

1.54 and 2.46

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