Exercise · ZW-PROBABILITY-MASS-FUNCTION-005 · ★★☆ Intermediate
With \(p(x)=\tfrac{x}{10}\) for \(x=1,2,3,4\), compute \(P(X\ge3)\).
Choose one option.
A 3/10 B 7/10 C 4/10 D 6/10
Show answer
← Back to the question
Explanation Add the masses of the included values: \(p(3)+p(4)=\tfrac3{10}+\tfrac4{10}=\tfrac7{10}\).
The probability mass function \(p_X\) of a discrete random variable \(X\) gives, for each value \(x\) it can take, the probability \(P\) that it takes it.
\[p_X(x)=P(X=x)\]
More practice problems: probability mass function ZW-PROBABILITY-MASS-FUNCTION-001 A variable X takes the values 0, 1 and 2 with p(0)=0.2, p(1)=c and p(2)=0.5. What is c?ZW-PROBABILITY-MASS-FUNCTION-002 With two dice, X is the sum. What is p_X(7)?ZW-PROBABILITY-MASS-FUNCTION-003 Which of these tables can be the probability mass function of a variable with values 1, 2 and 3 (pr…ZW-PROBABILITY-MASS-FUNCTION-004 Let p(x)=kx for x=1,2,3,4 and 0 otherwise. What value must k have?ZW-PROBABILITY-MASS-FUNCTION-006 Three fair coins are tossed and X is the number of heads. Compute p_X(2).ZW-PROBABILITY-MASS-FUNCTION-007 Which statement about a probability mass function is correct?ZW-PROBABILITY-MASS-FUNCTION-008 X takes the values 0, 1, 2, 3 with masses 0.1, 0.3, 0.4, 0.2. Compute P(1≤ X≤ 2).ZW-PROBABILITY-MASS-FUNCTION-009 Let p(x)=(tfrac12)^x for x=1,2,3,dots. Compute the probability that X is even.