PMF Essentials Quiz

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Test your PMF knowledge quickly.

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Jonalyn Angeles

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PMF Essentials Quiz


PMF Essentials QuizVersión en línea Test your PMF knowledge quickly. por Jonalyn Angeles 1 X takes 1,2,3 with 0.2,0.5,0.3. What is P(X ≤ 2)? a 1.0 b 0.3 c 0.7 d 0.5 2 Sum of all PMF probabilities must be what? a Less than 1 b Any non-negative number c Greater than 1 d 1 3 A PMF describes the distribution of which type of variable? a Continuous random variable b Both continuous and discrete c Discrete random variable d Neither 4 For a PMF f(x), what does f(x) represent? a P(X = x) b P(X > x) c Cumulative probability up to x d The mean of X 5 Biased coin with P(Heads)=0.6. PMF after one flip? a P(Heads)=0.5, P(Tails)=0.5 b P(Heads)=1, P(Tails)=0 c P(Heads)=0.6, P(Tails)=0.4 d P(Heads)=0.4, P(Tails)=0.6 6 Which is NOT a valid PMF value? a 0 b 1 c 0.5 d 1.5 7 What is the expected value (mean) of X with PMF f(x)? a Sum over x of x * f(x) b Square root of sum x * f(x) c Sum over x of f(x)/x d Sum over x of x / f(x) 8 Y is number of cars per hour. Its PMF is? a A negative value b A continuous curve c A single probability value d A set of probabilities for 0,1,2,... 9 Difference between PMF and PDF? a PMF for continuous; PDF for discrete b PMF gives P(X=x); PDF gives probability over an interval c PMF can be negative; PDF cannot d PMF sums to infinity; PDF sums to 1 10 What does a probability mass function (PMF) describe for a discrete random variable? a Cumulative probability up to a value b Probability of each possible value c Probability density over intervals d Mean and variance of the variable 11 A PMF must satisfy which sum property? a Product of probabilities equals 1 b Sum of squares equals 1 c Sum of probabilities equals 1 d Sum of probabilities equals 0 12 Which of the following is NOT a PMF property? a It sums to 1 over all values b It assigns negative probabilities c It is defined for each possible value d It assigns nonnegative values 13 For a discrete variable X with PMF p(x), what is p(3)? a Probability that X equals 3 b Cumulative probability up to 3 c Probability that X is less than 3 d Probability that X is greater than 3 14 If X takes values 0,1 with P(0)=0.4, P(1)=0.6, what is E[X]? a 1.0 b 0.0 c 0.4 d 0.6 15 Which statement about PMF and CDF is true? a PMF is continuous; CDF is discrete b PMF sums to 0; CDF sums to 1 c PMF gives probabilities at points; CDF accumulates d PMF integrates to infinity; CDF does not 16 What is the relationship between PMF values and total probability? a PMF values sum to 1 across all outcomes b PMF values multiply to 1 c PMF values sum to 0 d PMF values equal the mean 17 If X is a discrete variable with values 1..4, what does P(X=2) represent? a Probability X takes the value 2 b Probability X is greater than 2 c Probability X is not 2 d Cumulative probability up to 2 18 Which of these is a valid PMF example? a P(X=1)=0, P(X=2)=0, P(X=3)=0 b P(X=1)=2, P(X=2)=2, P(X=3)=-1 c P(X=1)=0.5, P(X=2)=0.5, P(X=3)=0.5 d P(X=1)=0.25, P(X=2)=0.25, P(X=3)=0.5 19 What does E[X] denote in PMF context? a Expected value (mean) of X b Probability of the most likely value c Mode of X d Variance of X

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PMF Essentials Quiz

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PMF Essentials QuizVersión en línea

por Jonalyn Angeles

X takes 1,2,3 with 0.2,0.5,0.3. What is P(X ≤ 2)?

Sum of all PMF probabilities must be what?

A PMF describes the distribution of which type of variable?

For a PMF f(x), what does f(x) represent?

Biased coin with P(Heads)=0.6. PMF after one flip?

Which is NOT a valid PMF value?

What is the expected value (mean) of X with PMF f(x)?

Y is number of cars per hour. Its PMF is?

Difference between PMF and PDF?

What does a probability mass function (PMF) describe for a discrete random variable?

A PMF must satisfy which sum property?

Which of the following is NOT a PMF property?

For a discrete variable X with PMF p(x), what is p(3)?

If X takes values 0,1 with P(0)=0.4, P(1)=0.6, what is E[X]?

Which statement about PMF and CDF is true?

What is the relationship between PMF values and total probability?

If X is a discrete variable with values 1..4, what does P(X=2) represent?

Which of these is a valid PMF example?

What does E[X] denote in PMF context?