English
Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If X is a binomial random variable with I expected value 6 and variance 2.4, Then P(X = 5) is

Advertisements
Advertisements

Question

Choose the correct alternative:

If X is a binomial random variable with I expected value 6 and variance 2.4, Then P(X = 5) is

Options

  • `(10/5)(3/5)^6(2/5)^4`

  • `(10/5)(3/5)^10`

  • `(10/5)(3/5)^4(2/5)^4`

  • `(10/5)(3/5)^5(2/5)^5`

MCQ
Advertisements

Solution

`(10/5)(3/5)^5(2/5)^5`

shaalaa.com
Mathematical Expectation
  Is there an error in this question or solution?
Chapter 11: Probability Distributions - Exercise 11.6 [Page 220]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 11 Probability Distributions
Exercise 11.6 | Q 12 | Page 220

RELATED QUESTIONS

For the random variable X with the given probability mass function as below, find the mean and variance.

`f(x) = {{:((4 - x)/6,  x = 1","  2","  3),(0,  "otherwise"):}`


For the random variable X with the given probability mass function as below, find the mean and variance.

`f(x) = {{:(1/2 "e"^(x/2),  "for"  x > 0),(0,  "otherwise"):}`


Four fair coins are tossed once. Find the probability mass function, mean and variance for a number of heads that occurred


The probability density function of the random variable X is given by

`f(x) = {{:(16x"e"^(-4x), x > 0),(0, x ≤ 0):}`
find the mean and variance of X


Choose the correct alternative:

A random variable X has binomial distribution with n = 25 and p = 0.8 then standard deviation of X is


Choose the correct alternative:

Four buses carrying 160 students from the same school arrive at a football stadium. The buses carry, respectively, 42, 36, 34, and 48 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying the randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on that bus. Then E(X) and E(Y) respectively are


Find the expected value for the random variable of an unbiased die


Let X be a continuous random variable with probability density function
`"f"_x(x) = {{:(2x",", 0 ≤ x ≤ 1),(0",",  "otherwise"):}`
Find the expected value of X


In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain


The number of miles an automobile tire lasts before it reaches a critical point in tread wear can be represented by a p.d.f.
f(x) = `{{:(1/30 "e"^(- x/30)",",  "for"  x > 0),(0",",  "for"  x ≤ 0):}`
Find the expected number of miles (in thousands) a tire would last until it reaches the critical tread wear point


Choose the correct alternative:

Given E(X) = 5 and E(Y) = – 2, then E(X – Y) is


Choose the correct alternative:

If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to


Choose the correct alternative:

A discrete probability distribution may be represented by


Choose the correct alternative:

E[X – E(X)] is equal to


Choose the correct alternative:

E[X – E(X)]2 is


Choose the correct alternative: 

`int_(-oo)^oo` f(x) dx is always equal to


Choose the correct alternative: 

A listing of all the outcomes of an experiment and the probability associated with each outcome is called


What is the expected value of a game that works as follows: I flip a coin and if tails pay you ₹ 2; if heads pay you ₹ 1. In either case, I also pay you ₹ 0.50


The time to failure in thousands of hours of an important piece of electronic equipment used in a manufactured DVD player has the density function
f(x) = `{{:(2"e"^(-2x)",",  x > 0),(0",",  "otherwise"):}`
Find the expected life of this piece of equipment


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×