Advertisements
Advertisements
प्रश्न
Construct cumulative distribution function for the given probability distribution.
| X | 0 | 1 | 2 | 3 |
| P(X = x) | 0.3 | 0. | 0.4 | 0.1 |
Advertisements
उत्तर
F(0) = P(x ≤ 0)
= p(0) = 0.3
F(1) = P(x ≤ 1)
= p(0) + p(1)
= 0.3 + 0.2
= 0.5
F(2) = P(x ≤ 2)
= P(0) + P(1) + P(2)
= 0.3 + 0.2 + 0.4
= 0.9
F(3) = P(x ≤ 3)
= P(0) + P(2) + P(3) + P(4)
= 0.3 + 0.2 + 0.4 + 0.1
= 1
APPEARS IN
संबंधित प्रश्न
Two balls are chosen randomly from an urn containing 6 red and 8 black balls. Suppose that we win ₹ 15 for each red ball selected and we lose ₹ 10 for each black ball selected. X denotes the winning amount, then find the values of X and number of points in its inverse images
The discrete random variable X has the following probability function.
P(X = x) = `{{:("k"x, x = 2"," 4"," 6),("k"(x - 2), x = 8),(0, "otherwise"):}`
where k is a constant. Show that k = `1/18`
Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes
A continuous random variable X has the following distribution function
F(x) = `{{:(0",", "if" x ≤ 1),("k"(x - 1)^4",", "if" 1 < x ≤ 3),(1",", "if" x > 3):}`
Find k
The length of time (in minutes) that a certain person speaks on the telephone is found to be random phenomenon, with a probability function specified by the probability density function f(x) as
f(x) = `{{:("Ae"^((-x)/5)",", "for" x ≥ 0),(0",", "otherwise"):}`
What is the probability that the number of minutes that person will talk over the phone is (i) more than 10 minutes, (ii) less than 5 minutes and (iii) between 5 and 10 minutes
Define random variable
Explain what are the types of random variable?
Explain the terms probability distribution function
Choose the correct alternative:
A discrete probability function p(x) is always
The p.d.f. of X is defined as
f(x) = `{{:("k"",", "for" 0 < x ≤ 4),(0",", "otherwise"):}`
Find the value of k and also find P(2 ≤ X ≤ 4)
