In a continuous probability density function defined on the interval , what must the value of the constant be for to be a valid probability density function?
Answer and explanation
Correct answer: D.
- Step 1: The total integral over the domain must equal 1: . Step 2. Integrate: . **Answer: . Why not the others:** gives total probability 2; gives total probability 0.5.
Practise more Probability, Combinatorics and Statistics.
Free questions with an explanation for every one, and full timed VWO / HAVO Centraal Examen (Netherlands) mock tests.
More Probability, Combinatorics and Statistics questions
- A standard fair six-sided die is rolled 4 times. What is the probability of obtaining at least one six?
- In a class of 30 students, 18 take physics, 15 take chemistry, and 8 take both subjects. What is the probability that a randomly chosen stud…
- What is the variance of a random variable that follows a binomial distribution with trials and success probability ?
- How many distinct 4-digit PIN codes can be formed using the digits 0 to 9 if no digit may be repeated?
- A medical diagnostic test has a sensitivity (true positive rate) and a specificity (true negative rate). If the disease preval…
- What is the median of the data set: ?