English
Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are

Advertisements
Advertisements

Question

Choose the correct alternative:

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are

Options

  • i + 2n, i = 0, 1, 2 …, n

  • 2i – n, i = 0, 1, 2 …, n

  • n – i, i = 0, 1, 2 …, n

  • 2i + 2n, i = 0, 1, 2 …, n

MCQ
Advertisements

Solution

2i – n, i = 0, 1, 2 …, n

shaalaa.com
Random Variable
  Is there an error in this question or solution?
Chapter 11: Probability Distributions - Exercise 11.6 [Page 219]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 11 Probability Distributions
Exercise 11.6 | Q 6 | Page 219

RELATED QUESTIONS

In a pack of 52 playing cards, two cards are drawn at random simultaneously. If the number of black cards drawn is a random variable, find the values of the random variable and number of points in its inverse images


Let X be a discrete random variable with the following p.m.f
`"P"(x) = {{:(0.3,  "for"  x = 3),(0.2,  "for"  x = 5),(0.3,  "for"  x = 8),(0.2,  "for"  x = 10),(0,  "otherwise"):}`
Find and plot the c.d.f. of X.


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`


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

Evaluate p(x < 6), p(x ≥ 6) and p(0 < x < 5)


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.


Define random variable


Define dicrete random Variable


What are the properties of continuous random variable?


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 c is a constant, then E(c) is


Choose the correct alternative:

If c is a constant in a continuous probability distribution, then p(x = c) is always equal to


Choose the correct alternative: 

Which one is not an example of random experiment?


Choose the correct alternative: 

A variable which can assume finite or countably infinite number of values is known as


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| ≤ 2)


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):}`
Is X a discrete random variable? Justify your answer


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) 


Consider a random variable X with p.d.f.
f(x) = `{(3x^2",",  "if"  0 < x < 1),(0",",  "otherwise"):}`
Find E(X) and V(3X – 2)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×