हिंदी

State whether the following statement is True or False: For the Binomial distribution, Mean E(X) = m and Variance = Var(X) = m - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State whether the following statement is True or False:

For the Binomial distribution, Mean E(X) = m and Variance = Var(X) = m

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

False

shaalaa.com
Binomial Distribution
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.8: Probability Distributions - Q.3

संबंधित प्रश्न

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards, find the probability that only 3 cards are spades


In a box of floppy discs, it is known that 95% will work. A sample of three of the discs is selected at random. Find the probability that none of the floppy disc work.


In a box of floppy discs, it is known that 95% will work. A sample of three of the discs is selected at random. Find the probability that exactly two floppy disc work.


In a box of floppy discs, it is known that 95% will work. A sample of three of the discs is selected at random. Find the probability that all 3 of the sample will work.


Choose the correct option from the given alternatives:

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is


If the mean and variance of a binomial distribution are 18 and 12 respectively, then n = ______.


The probability that a mountain-bike travelling along a certain track will have a tyre burst is 0.05. Find the probability that among 17 riders: two or more have burst tyre.


The probability that a lamp in a classroom will be burnt out is 0.3. Six such lamps are fitted in the class-room. If it is known that the classroom is unusable if the number of lamps burning in it is less than four, find the probability that the classroom cannot be used on a random occasion.


The probability that a machine develops a fault within the first 3 years of use is 0.003. If 40 machines are selected at random, calculate the probability that 38 or more will not develop any faults within the first 3 years of use.


A computer installation has 10 terminals. Independently, the probability that any one terminal will require attention during a week is 0.1. Find the probabilities that 1.


It is observed that it rains on 12 days out of 30 days. Find the probability that it rains exactly 3 days of week.


If the probability of success in a single trial is 0.01. How many trials are required in order to have a probability greater than 0.5 of getting at least one success?


In binomial distribution with five Bernoulli’s trials, the probability of one and two success are 0.4096 and 0.2048 respectively. Find the probability of success.


Fill in the blank :

In Binomial distribution probability of success Remains constant / independent from trial to trial.


In Binomial distribution if n is very large and probability success of p is very small such that np = m (constant) then _______ distribution is applied.


In Binomial distribution, probability of success ______ from trial to trial


In a binomial distribution `B(n, p = 1/4)`, if the probability of at least one success is greater than or equal to `9/10`, then n is greater than ______.


If X∼B (n, p) with n = 10, p = 0.4 then E(X2) = ______.


In a binomial distribution, n = 4 and 2P(X = 3) = 3P(X = 2), then q = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×