60t 15 1complete The following data represent the number of

60t 15 (1|complete) The following data represent the number of games played in each series of an anmual toumament from 1923 to 2002 (a) Constract a discrete probability distribution for the random variable X, P to four al places as needed) (b) Draw the probability histogram. Choose the comect histogram below OB. O C. Click to select your answerls)

Solution

a)

P(4) = 15/ (15+16+22+26) = 0.18988
P(5) = 16/(15+16+22+26) = 0.20253
P(6) = 22/(15+16+22+26) = 0.2785
P(7) = 26 / (15+16+22+26) = 0.32911

b)

Option C

c)

f=   1  
fx =   5.74682  
      
Mean = fx / f =   5.7468  
Mean square = f x^2 / f =   34.253  
      
Varriance = (Mean square) - (Mean)^2      
      
Varriance = f x^2 - Mean^2 =   1.227  
Stadard Dev= Var =   1.108  

Mean =  5.7468

S.d = 1.108

Values ( X )	Frequency(f)	fx	( X^2)	f x^2
4	0.18988	0.7595	16	3.0381
5	0.20252	1.0126	25	5.063
6	0.2785	1.671	36	10.026
7	0.3291	2.3037	49	16.126