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 If a random variable X follows binomial distribution with mean as 5 and satisfying the condition 10P(X = 0) =P (X = 1), what is the value of P (x ≥ 1/ x > 0)?
  • a)
    0.67
  • b)
    0.56
  • c)
    0.99
  • d)
    0.82
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If a random variable X follows binomial distribution with mean as 5 an...
= 2)?

Let the number of trials be n and the probability of success in each trial be p.
Then, the mean of the binomial distribution is given by np = 5.
We are also given that 10P(X=0) = P(X=1).
Using the formula for the probability mass function of the binomial distribution, we have:

10P(X=0) = P(X=1)
10(1-p)^n = np(1-p)^(n-1)

Dividing both sides by (1-p)^(n-1), we get:

10(1-p) = np

Substituting np = 5, we have:

10(1-p) = 5
1-p = 0.5
p = 0.5

Now, using the formula for the probability mass function of the binomial distribution, we have:

P(X=2) = (n choose 2) p^2 (1-p)^(n-2)

Since we do not know the value of n, we cannot find the exact value of P(X=2).
However, we can use the fact that np = 5 to estimate n.
We have:

np = 5
n = 10

Substituting n=10 and p=0.5, we have:

P(X=2) = (10 choose 2) (0.5)^2 (0.5)^(10-2) ≈ 0.246

Therefore, the value of P(X=2) is approximately 0.246.
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If a random variable X follows binomial distribution with mean as 5 an...
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If a random variable X follows binomial distribution with mean as 5 and satisfying the condition 10P(X = 0) =P (X = 1), what is the value of P (x≥ 1/ x > 0)?a)0.67b)0.56c)0.99d)0.82Correct answer is option 'C'. Can you explain this answer?
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If a random variable X follows binomial distribution with mean as 5 and satisfying the condition 10P(X = 0) =P (X = 1), what is the value of P (x≥ 1/ x > 0)?a)0.67b)0.56c)0.99d)0.82Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a random variable X follows binomial distribution with mean as 5 and satisfying the condition 10P(X = 0) =P (X = 1), what is the value of P (x≥ 1/ x > 0)?a)0.67b)0.56c)0.99d)0.82Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a random variable X follows binomial distribution with mean as 5 and satisfying the condition 10P(X = 0) =P (X = 1), what is the value of P (x≥ 1/ x > 0)?a)0.67b)0.56c)0.99d)0.82Correct answer is option 'C'. Can you explain this answer?.
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