English

One of the condition of Bernoulli trials is that the trials are independent of each other. - Mathematics

Advertisements
Advertisements

Question

One of the condition of Bernoulli trials is that the trials are independent of each other.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

shaalaa.com
  Is there an error in this question or solution?
Chapter 13: Probability - Solved Examples [Page 271]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 13 Probability
Solved Examples | Q 22 | Page 271

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. What is the probability that out of 5 such bulbs
(i) none
(ii) not more than one
(iii) more than one
(iv) at least one, will fuse after 150 days of use.


In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is 5/6 . What is the probability that he will knock down fewer than 2 hurdles?


How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?


Five cards are drawn successively with replacement from a well-shuffled pack of 52 cards. What is the probability that all the five cards are spades ?



A bag contains 10 balls, each marked with one of the digits from 0 to 9. If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?


A coin is tossed 5 times. If X is the number of heads observed, find the probability distribution of X.

 

An unbiased die is thrown twice. A success is getting a number greater than 4. Find the probability distribution of the number of successes.

 

Suppose that a radio tube inserted into a certain type of set has probability 0.2 of functioning more than 500 hours. If we test 4 tubes at random what is the probability that exactly three of these tubes function for more than 500 hours?


The probability that a student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university none will graduate 


A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is \[\frac{1}{100} .\]  What is the probability that he will win a prize exactly once.


The probability of a man hitting a target is 0.25. He shoots 7 times. What is the probability of his hitting at least twice?


In a binomial distribution the sum and product of the mean and the variance are \[\frac{25}{3}\] and \[\frac{50}{3}\]

 respectively. Find the distribution.

 
 

The mean of a binomial distribution is 20 and the standard deviation 4. Calculate the parameters of the binomial distribution.


The mean of a binomial distribution is 10 and its standard deviation is 2; write the value of q.

 

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is


If the mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than 1 is


A biased coin with probability p, 0 < p < 1, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is 2/5, then p equals


A coin is tossed 10 times. The probability of getting exactly six heads is


Five cards are drawn successively with replacement from a well-shuffled pack of 52 cards. What is the probability that  only 3 cards are spades ? 


The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs not more than one will fuse after 150 days of use 


The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs more than one will fuse after 150 days of use 


The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs at least one will fuse after 150 days of use 


For Bernoulli Distribution, state formula for E(X) and V(X).


Explain why the experiment of tossing a coin three times is said to have binomial distribution.


Which one is not a requirement of a binomial distribution?


Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If P(x = r)/P(x = n – r) is independent of n and r, then p equals ______.


The mean, median and mode for binomial distribution will be equal when


The sum of n terms of the series `1 + 2(1 + 1/n) + 3(1 + 1/n)^2 + ...` is


An experiment succeeds thrice as often as it fails. Then in next five trials, find the probability that there will be two successes.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×