ekkline
 
Reply Mon 3 Jun, 2013 02:22 pm

If random variable X follows the Binomial distribution: X~Binomial(10,0.7), which among the following statements is/are correct?
Answer
a.
X can take 10 different values.
b.
P(X>=5)+P(X<=5)=1
c.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)
d.
P(2<=X<=4)=P(X<=4)-P(X<=2)
e.
P(X<=10)=1
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cmills7
 
  1  
Reply Wed 17 Sep, 2014 12:16 am
@ekkline,
The answer is P(X<=10)=1
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engineer
 
  1  
Reply Wed 17 Sep, 2014 06:34 am
@ekkline,
A is wrong because X can take 11 values from 0 to 10.
B is wrong because it is counting P(x=5) twice. P(x>=5) + P(x<5) does equal one.
C is wrong because P(x<6) does not include P(x=6)
D is wrong because it excludes P(x=2). Correct would be P(x<=4) - P(x<2)
E is correct. If you do ten trials and count the successes, the probability you will have 10 or less successes is 100%
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