Home › UP Board Class 12 › mathematics › Probability › For a binomial distribution B(n, p), the MEAN an…
For a binomial distribution B(n, p), the MEAN and VARIANCE are:
AMean = p, Variance = np
BMean = np, Variance = np(1−p)
CMean = np², Variance = n²p
DMean = n+p, Variance = n×p
Answer & Solution
Correct answer: B. Mean = np, Variance = np(1−p)
Binomial B(n, p): mean = np; variance = np(1−p) = npq. For p = 0.5 and n = 10: mean = 5, variance = 2.5.
Related questions
Two coins tossed. P(both heads) =Bag has 4 red, 6 blue. P(red) =Probability of rolling 6 on a die:Probability of heads on a fair coin is:If a fair six-sided die is rolled twice, the probability that the sum is divisible by 3 isA bag has 3 red and 2 black balls. Probability of red ball drawn at random:Probability of getting an even number on rolling a single die:Probability of drawing a king from a standard deck of 52 cards: