All Free Statistics MCQs with Answers
Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
545 questions · page 35 of 55
341. If p=q than the shape of binomial distribution?
- A. Positively skewed
- B. Negative skwed
- C. Symmeteric
- D. No shape
Explanation: When p equals q, the probabilities of success and failure are balanced, so the binomial distribution is symmetric around its mean.
Correct answer: Symmeteric342. If p=0.6 and q=0.4 than shape of the binomial distribution?
- A. Positively skewed
- B. Negatively skewed
- C. Symmetric
- D. Bell shapedMaster Coding Skills
Explanation: For a binomial distribution, skewness has the sign of q minus p. Here q is 0.4 and p is 0.6, so q minus p is negative and the distribution is negatively skewed.
Correct answer: Negatively skewed343. The number of successes in fixed time interval follows?
- A. Gamma distribution
- B. Binomial distribution
- C. Negative binomial dis
- D. Possion distribution Mathematics
Explanation: The number of events or successes occurring in a fixed time interval under a constant average rate follows the Poisson distribution. The binomial distribution instead counts successes in a fixed number of independent trials.
Correct answer: Possion distribution Mathematics344. The time interval between two successes follows?
- A. Possion distribution
- B. Exponential distribution
- C. Gamma distribution
- D. Beta distribution
Explanation: The time between successive successes in a Poisson process follows an exponential distribution because it models the waiting time for the next event. The gamma distribution applies to the waiting time until the second or later event.
Correct answer: Exponential distribution345. Which of the following statement is true for CDF of the random variable X?
- A. From larger values of x
- B. From smallest upto specific value of x
- C. From zero to specific value of x
- D. None of theseMarketing
Explanation: The cumulative distribution function is F(x) = P(X ≤ x), so it accumulates probability from the smallest possible values up to the specified value x. This distinguishes it from a probability mass or density function at one value.
Correct answer: From smallest upto specific value of x346. When the word random variable use in statistics it must have?
- A. Variable
- B. Probability distribution
- C. Values
- D. None of these
Explanation: A random variable is defined together with a probability distribution that describes how likely its possible values are. Merely having numerical values does not distinguish a random variable from an ordinary variable.
Correct answer: Probability distribution347. The Normal Curve is asymptotic to the?
- A. None
- B. X-axis
- C. Y-axis
- D. Along Y=X
Explanation: The normal curve approaches the horizontal axis indefinitely but never actually touches it, so it is asymptotic to the X-axis. The Y-axis only passes through the curve's center when the distribution is centered at zero.
Correct answer: X-axis348. Normal Distribution ?
- A. have no Mode
- B. Multi Modal
- C. Bi Modal
- D. Tri Modal
- E. Uni Modal
Explanation: A normal distribution has one peak at its mean, median, and mode, so it is unimodal. Bi-modal and multi-modal distributions have two or more peaks.
Correct answer: Uni Modal349. In case of symmetrical distribution?
- A. β1=β4
- B. Mean=Mode=Median
- C. µ1=µ4
- D. µ1=µ2
Explanation: For the standard symmetric, unimodal distribution, the center is the same by all three measures: mean = median = mode. Symmetry also makes the odd central moments zero, but that relationship is not represented correctly by the other options.
Correct answer: Mean=Mode=Median350. If X ˜ N(16,49), the mean is___________?
- A. 49
- B. 16
- C. 7
- D. 4
Explanation: In the notation X ~ N(16, 49), the first parameter is the mean and the second is usually the variance. Therefore, the mean is 16, while 49 is the variance and 7 would be its standard deviation.
Correct answer: 16