हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य कक्षा १२

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

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • zero

  • `1/4`

  • `1/15`

  • one

MCQ
Advertisements

उत्तर

`1/15`

shaalaa.com
Random Variable
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Random Variable and Mathematical expectation - Exercise 6.3 [पृष्ठ १४३]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 6 Random Variable and Mathematical expectation
Exercise 6.3 | Q 22 | पृष्ठ १४३

संबंधित प्रश्न

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


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"):}`
Find the value of A that makes f(x) a p.d.f.


Suppose that the time in minutes that a person has to wait at a certain station for a train is found to be a random phenomenon with a probability function specified by the distribution function

F(x) = `{{:(0",",  "for"  x ≤ 0),(x/2",",  "for"  0 ≤ x < 1),(1/2",",  "for" ≤ x < 2),(x/4",",  "for"  2 ≤ x < 4),(1",",  "for"  x ≥ 4):}` 
What is the probability that a person will have to wait (i) more than 3 minutes, (ii) less than 3 minutes and (iii) between 1 and 3 minutes?


State the properties of distribution function.


Choose the correct alternative: 

If the random variable takes negative values, then the negative values will have


Choose the correct alternative: 

In a discrete probability distribution, the sum of all the probabilities is always equal to


The probability function of a random variable X is given by
p(x) = `{{:(1/4",",  "for"  x = - 2),(1/4",",  "for"  x = 0),(1/2",",  "for"  x = 10),(0",",  "elsewhere"):}`
Evaluate the following probabilities
P(X ≤ 0)


The probability function of a random variable X is given by
p(x) = `{{:(1/4",",  "for"  x = - 2),(1/4",",  "for"  x = 0),(1/2",",  "for"  x = 10),(0",",  "elsewhere"):}`
Evaluate the following probabilities
P(X < 0)


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)


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) 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×