मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Fill in the blank : In Binomial distribution probability of success _______ from trial to trial. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Fill in the blank :

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

रिकाम्या जागा भरा

उत्तर

In Binomial distribution probability of success _______ from trial to trial.

shaalaa.com
Binomial Distribution
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Probability Distributions - Miscellaneous Exercise 8 [पृष्ठ १५४]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 8 Probability Distributions
Miscellaneous Exercise 8 | Q 2.08 | पृष्ठ १५४

संबंधित प्रश्‍न

The probability that a certain kind of component will survive a check test is 0.6. Find the probability that exactly two of the next four components tested will survive.


Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards; find the probability that all the five cards are spades.


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


Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards; find the probability that none is a spade.


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


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.


A lot of 100 items contain 10 defective items. Five items are selected at random from the lot and sent to the retail store. What is the probability that the store will receive at most one defective item?


The probability that a machine will produce all bolts in a production run within specification is 0.998. A sample of 8 machines is taken at random. Calculate the probability that all 8 machines.


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.


In a large school, 80% of the pupil like Mathematics. A visitor to the school asks each of 4 pupils, chosen at random, whether they like Mathematics.
Calculate the probabilities of obtaining an answer yes from 0, 1, 2, 3, 4 of the pupils.


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?


If E(x) > Var(x) then X follows _______.


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


If X follows a binomial distribution with parameters n = 10 and p. If 4P(X = 6) = P(X = 4), then p = ______ 


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) = ______.


A pair of dice is thrown 3 times. If getting a doublet is considered a success, find the probability of getting at least two success.

Solution:

A pair of dice is thrown 3 times.

∴ n = 3

Let x = number of success (doublets)

p = probability of success (doublets)

∴  p = `square`, q = `square`

∴ x ∼ B (n, p)

P(x) = nCxpx qn–x

Probability of getting at least two success means x ≥ 2.

∴ P(x ≥ 2) = P(x = 2) + P(x = 3)

= `square` + `square`

= `2/27`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×