Question

The probability distribution for the random variable follows. a. Is this a valid probability distribution? - Select your answer - b. What is the probability that (to 2 decimals)? c. What is the probability that is less than or equal to (to 2 decimals)? d. What is the probability that is greater than (to 2 decimals)?

Answer 1

Complete question :

X: 20__25 ___30 ___35

f(x): 0.20 _0.20_0.25 _0.35

Probability that x = 30

Probaility that x less than or equal to 25

Probability that X is greater than 30

Answer:

Kindly check explanation

Explanation:

To establish if it is a valid probability distribution :

The sum of the probabilities must be equal to 1:

Σf(x) = 0.20 + 0.20 + 0.25 + 0.35 = 1

Hence it is valid

Probability that x = 30

P(x = 30) = 0.25

Probability that x ≤ 25 :

P(x = 20) + p(x = 25)

P(x ≤ 25) = 0.20 + 0.20 = 0.40

Probability that x > 30

P(x > 30) = p(x = 35) = 0.35