Probability
We selecte 10 numbers at random from
N(0, 1)distribution. What is the probability that exactly 6 of them are less than 1?
Homework Answers
SOLUTION :
Distribution of (0, 1)
p = probability of getting 0 .
q = probability of getting 1 .
Random sample size, n = 10
We have to find P( exactly 6 are less than 1 )
It means P(6 are 0 out of 10).
So,
P ( 6 are 0 out of 10)
= 10C6 p^6 q^4
= 10C6 0.5^6 * 0.5^4
= 210* 0.5^10
= 0.2051 (ANSWER).
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