MCQs

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Overall MCQs for Reference

The binomial distribution models which type of experiment?
a. More than two outcomes
b. Exactly two possible outcomes
c. Continuous outcomes
d. Clustered outcomes
Answer: btestbook+1
In the binomial formula , what does represent?
a. Probability of failure
b. Number of successes
c. Number of trials
d. Probability of success
Answer: ctestbook
Which of the following is NOT a condition for binomial distribution?
a. Fixed number of trials
b. Trials are independent
c. Probability of success changes
d. Only two outcomes per trial
Answer: cdatacamp+1
The mean of a binomial distribution is given by:
a.
b.
c.
d.
Answer: agtu-mcq+1
If a fair coin is tossed 4 times, what is the probability of obtaining exactly 2 heads?
a. 0.25
b. 0.375
c. 0.5
d. 0.75
Answer: bbyjus+1
Which of the following is the variance of a binomial distribution?
a.
b.
c.
d.
Answer: bstudocu+1
What does denote in a binomial distribution?
a. Probability of failure in one trial
b. Probability of success in one trial
c. Number of trials
d. Number of failures
Answer: bitfeature+1
Which machine learning scenario is best modeled by the binomial distribution?
a. Number of customers in a shop
b. Number of spam emails in a batch
c. Number of emails correctly classified as spam in n trials
d. Amount of sales revenue
Answer: cdatacamp
If and , what is the expected value?
a. 1.5
b. 2.3
c. 3.5
d. 5
Answer: cgtu-mcq+1
Which is NOT a property of binomial distribution?
a. Fixed trials
b. Success probability changes
c. Trials are independent
d. Two outcomes per trial
Answer: btestbook+1
In a binomial, the sum of the probabilities of all possible outcomes is:
a. 0
b. n
c. 1
d. p+q
Answer: cbyjus+1
What is the standard deviation of a binomial distribution?
a.
b.
c.
d.
Answer: cstudocu+2
Binomial distribution fits which type of variable?
a. Continuous
b. Discrete
c. Ratio
d. Interval
Answer: bdatacamp+1
Per trial probability of failure is:
a.
b.
c.
d.
Answer: bstudocu+1
What does “success” mean in binomial experiments?
a. A positive outcome as defined by context
b. Any outcome
c. Only monetary gains
d. Only election wins
Answer: abyjus+1
Binomial distribution is used in which ML technique?
a. Clustering
b. Supervised classification with binary targets
c. k-Means
d. Principal Component Analysis
Answer: bdatacamp
Which of the following is an example of a binomial experiment?
a. Rolling two dice
b. Measuring temperature
c. Testing positive/negative for a virus in a set of individuals
d. Measuring weight
Answer: ctestbook+1
If the probability of success is 0.2, what is the probability of failure?
a. 0.2
b. 0.4
c. 0.6
d. 0.8
Answer: dstudocu+1
The probability of exactly zero successes in n binomial trials is:
a.
b.
c.
d.
Answer: bbyjus+1
In machine learning, binomial distribution can help analyze:
a. Categorical labels
b. Regression residuals
c. Training set sizes
d. Data normalization
Answer: adatacamp
The binomial distribution is symmetric when
a.
b.
c.
d.
Answer: bitfeature+1
What is the most probable value in a binomial distribution called?
a. Mean
b. Median
c. Mode
d. Variance
Answer: cgtu-mcq+1
If and , then mode = ?
a. 4
b. 5
c. 6
d. 8
Answer: btestbook
What is the sum of expected value and variance in binomial distribution?
a.
b.
c.
d.
Answer: bstudocu+1
The maximum value for binomial coefficient occurs when
a.
b.
c.
d.
Answer: btestbook
If n=8, p=0.75 for binomial, variance = ?
a. 8
b. 1.5
c. 0.5
d. 0.75
Answer: btestbook+1
Which is not a parameter of binomial distribution?
a. n
b. p
c. q
d. k
Answer: dtestbook
For n independent trials with probability p, probability of all successes is:
a.
b.
c.
d.
Answer: atestbook
In binomial, when p approaches 0, distribution becomes:
a. Left-skewed
b. Right-skewed
c. Symmetric
d. Uniform
Answer: bbyjus+1
What is the relationship between binomial and Bernoulli distribution?
a. Bernoulli is a special case of binomial
b. Binomial is a special case of Bernoulli
c. No relationship
d. Both continuous
Answer: adatacamp+1
Which condition transforms binomial into Poisson distribution?
a. p = 1, n finite
b. n → ∞, p → 0, np=λ finite
c. n → ∞, p → 1
d. n = p/2
Answer: bdatacamp
Suppose a spam detection model predicts spam independently for 20 emails with p=0.3; which distribution best models number of spams predicted?
a. Normal
b. Binomial
c. Exponential
d. Logistic
Answer: bdatacamp
Binomial PMF is given by:
a.
b.
c.
d.
Answer: abyjus+1
In ML, feature selection with binomial test is used to:
a. Estimate regression coefficients
b. Select features based on binary outcomes
c. Normalize data
d. Encode categorical features
Answer: bdatacamp
If mean is 6 and variance is 2.4 for a binomial, what is p?
a. 0.1
b. 0.2
c. 0.3
d. 0.4
Answer: dtestbook+1
ML models often use binomial for which type of prediction?
a. Categorical with >2 categories
b. Binary classification
c. Regression
d. Clustering
Answer: bdatacamp
Which method is used to calculate probabilities in binomial distribution?
a. Linear regression
b. nCk
c. Entropy
d. Gradient Descent
Answer: bbyjus+1
If n=5, p=0.1, what is the variance?
a. 0.5
b. 0.2
c. 0.45
d. 0.9
Answer: ctestbook
If p=q=0.5, binomial distribution is:
a. Skewed right
b. Skewed left
c. Symmetric
d. Uniform
Answer: cbyjus+1
ML ensemble methods like bagging can be analyzed using:
a. Binomial distribution
b. Linear regression
c. Time series
d. Dimensionality reduction
Answer: adatacamp
Which is NOT an application of binomial in ML?
a. Hyperparameter tuning
b. Bootstrapping
c. Modeling binary outcomes
d. Coin tossing simulations
Answer: adatacamp
Probability of one success in three trials ( ) is:
a. 0.032
b. 0.384
c. 0.288
d. 0.016
Answer: ctestbook
A classifier that makes n independent predictions with probability p of being correct. Number of correct predictions is:
a. Poisson
b. Bernoulli
c. Binomial
d. Uniform
Answer: ctestbook+1
When is binomial distribution appropriate in ML validation?
a. Continuous labels
b. Probability of correct/incorrect on test set
c. Multi-class labels
d. Unsupervised data
Answer: bdatacamp
Which formula computes cumulative binomial probability for ≤ k successes?
a.
b.
c.
d.
Answer: btestbook+1
The binomial is the appropriate model whenever
a. Trials are not independent
b. Each trial has two outcomes
c. Probability of success changes
d. Sample size is unlimited
Answer: bbyjus+1
In ML, the likelihood for binary output data is often modeled as:
a. Binomial
b. Gaussian
c. Uniform
d. Poisson
Answer: adatacamp
Which binomial setting is most “rare event”?
a. n large, p small
b. n large, p large
c. n small, p large
d. n small, p small
Answer: adatacamp
The probability of “at least one success” in n trials with p is:
a.
b.
c.
d.
Answer: abyjus+2
In a sequence model with repeated binary trials (like recurrent neural net on binary outputs), the distribution of number of “ones” follows:
a. Poisson
b. Binomial
c. Normal
d. Exponential
Answer: bdatacamp

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