मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता १२

The probability distribution function of a discrete random variable X isf(x) = ,,,,otherwise{2k, x=13k, x=34k,x=50, otherwisewhere k is some constant. Find P(X > 2) - Business Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

The probability distribution function of a discrete random variable X is
f(x) = `{{:(2k",",  x = 1),(3k",",  x = 3),(4k",", x = 5),(0",",  "otherwise"):}`
where k is some constant. Find P(X > 2) 

बेरीज

उत्तर

P(x > 1) = P(x = 3) + P(x = 5)

= 3k + 4k = 7k

= `7(1/9)`

= `7/9`

shaalaa.com
Random Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Random Variable and Mathematical expectation - Miscellaneous problems [पृष्ठ १४४]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 6 Random Variable and Mathematical expectation
Miscellaneous problems | Q 4. (b) | पृष्ठ १४४

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


Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes


The discrete random variable X has the probability function.

Value
of X = x
0 1 2 3 4 5 6 7
P(x) 0 k 2k 2k 3k k2 2k2 7k2 + k

If P(X ≤ x) > `1/2`, then find the minimum value of x.


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 the Probability density function


State the properties of distribution function.


Choose the correct alternative:

A variable that can assume any possible value between two points is called


Choose the correct alternative: 

If we have f(x) = 2x, 0 ≤ x ≤ 1, then f(x) is a


Choose the correct alternative: 

A set of numerical values assigned to a sample space is called


Choose the correct alternative: 

The probability function of a random variable is defined as

X = x – 1 – 2 0 1 2
P(x) k 2k 3k 4k 5k

Then k is equal to


Let X be a random variable with a cumulative distribution function.
F(x) = `{{:(0",",  "if"  x  < 0),(x/8",",  "if"  0 ≤ x ≤ 1),(1/4 + x/8",",  "if"  1 ≤ x ≤ 2),(3/4 + x/12",",  "if"  2 ≤ x < 3),(1",",  "for"  3 ≤ x):}`
Compute: (i) P(1 ≤ X ≤ 2) and (ii) P(X = 3)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×