e. Construct a probability distribution. Random variable x follow binomial distribution X Bin(n=3,p=0.5) Then probability distribution table : X:. 0, P(x): 0.125, 0.375,. 0.375, 3 0.125 f. Construct a probability histogram. ???

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Subject- Statistics and Probability

 A tennis player has to play 3 consecutive games.

Pls answer the letter F only*

note: (this is continuation question on my recently posted question, I don't know why expert said it is incomplete but in our testpaper this is the only question and instruction (above of this note) that is written. I only separated those questions because as you said u can only answer 1 question at a time.)

A tennis player has to play 3 consecutive games.
a. Determine the sample space
Win=W
Lose=L
Total outcome= 23=8
Sample space=S=
(LLL,LLW,LWL,WLL, WWL,WLW,LWW,www)
b. What is the probability of winning all three
games?
The probability of winning all three games is,
Probability= 1/2 x 1/2 x 1/2
= 1/8
= 0.125
c. What is the probability of winning two games?
The probability of winning all two games
P (x=2) = (3 2) (1/2) ³= 3/8
P (x=2) = 0.357
d. What is the probability of winning only 1 game?
P=1/2
X~Bin (n=3, p=1/2)
P(x=1)= 3C1 x (1/2) (1-1/2)^3-1
e. Construct a probability distribution.
Random variable x follow binomial distribution X
Bin(n=3,p=0.5)
Then probability distribution table :
X:. 0,
P(x): 0.125, 0.375,. 0.375, 0.125
2:
3
f. Construct a probability histogram.
???
Transcribed Image Text:A tennis player has to play 3 consecutive games. a. Determine the sample space Win=W Lose=L Total outcome= 23=8 Sample space=S= (LLL,LLW,LWL,WLL, WWL,WLW,LWW,www) b. What is the probability of winning all three games? The probability of winning all three games is, Probability= 1/2 x 1/2 x 1/2 = 1/8 = 0.125 c. What is the probability of winning two games? The probability of winning all two games P (x=2) = (3 2) (1/2) ³= 3/8 P (x=2) = 0.357 d. What is the probability of winning only 1 game? P=1/2 X~Bin (n=3, p=1/2) P(x=1)= 3C1 x (1/2) (1-1/2)^3-1 e. Construct a probability distribution. Random variable x follow binomial distribution X Bin(n=3,p=0.5) Then probability distribution table : X:. 0, P(x): 0.125, 0.375,. 0.375, 0.125 2: 3 f. Construct a probability histogram. ???
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