CA Foundation · Quantitative Aptitude · Theoretical Distributions
Which statement correctly compares the binomial, Poisson and normal distributions?
Binomial and Poisson are discrete distributions, while the normal distribution is continuous and symmetric about its mean. Binomial has two parameters, n and p, Poisson has one, and the normal has mean and standard deviation, with mean equal to median.
- ABinomial and Poisson are continuous while normal is discrete
- BNormal distribution is skewed to the right with mean greater than median
- CBinomial and Poisson are discrete while normal is continuous and symmetric about its meanCorrect
- DPoisson has two parameters while binomial has only one
Explanation
Binomial and Poisson give probabilities for countable values, so they are discrete. Normal is continuous and bell-shaped, symmetric about its mean. Binomial has two parameters (n, p) and Poisson has one (m), so the other options are wrong.
Did you get it right without looking?
One question tells you little. A timed set on Theoretical Distributions shows your real accuracy, how long you take and where you lose marks.
More Theoretical Distributions questions
- A quality inspector at a Surat factory tests 5 independently made items, each with a 0.4 chance of being defective. What is the probability …
- Which of the following situations is best modelled by a Poisson distribution?
- For which of the following binomial distributions is the mean exactly equal to the variance, ignoring the trivial case of zero?
- The daily sales of a Jaipur sweet shop are normally distributed with mean ₹8,000 and standard deviation ₹1,000. Given P(0 < Z < 2) = 0.4772,…
- A discrete random variable X takes the values 1, 2, 3 and 4 with probabilities k, 2k, 3k and 4k respectively. What is the value of P(X ≥ 3)?
- A fair coin is tossed 4 times. What is the probability of getting exactly 2 heads?