मराठी

In a Box Containing 100 Bulbs, 10 Are Defective. the Probability that Out of a Sample of 5 Bulbs, None is Defective is - Mathematics

Advertisements
Advertisements

प्रश्न

In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs, none is defective is

(A) 10−1

(B) `(1/2)^5`

(C) `(9/10)^5`

(D) 9/10

उत्तर

The repeated selections of defective bulbs from a box are Bernoulli trials. Let X denote the number of defective bulbs out of a sample of 5 bulbs.

Probability of getting a defective bulb, p = 10/100 = 1/10

The correct answer is C.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Probability - Exercise 13.5 [पृष्ठ ५७८]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
पाठ 13 Probability
Exercise 13.5 | Q 14 | पृष्ठ ५७८

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Given X ~ B (n, p)
If n = 10 and p = 0.4, find E(X) and var (X).


A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is 1/100. What is the probability that he will in a prize (a) at least once (b) exactly once (c) at least twice?


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


Assume that on an average one telephone number out of 15 called between 2 P.M. and 3 P.M. on week days is busy. What is the probability that if six randomly selected telephone numbers are called, at least 3 of them will be busy?


If getting 5 or 6 in a throw of an unbiased die is a success and the random variable X denotes the number of successes in six throws of the die, find P (X ≥ 4).

 

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 ?



An unbiased coin is tossed 8 times. Find, by using binomial distribution, the probability of getting at least 6 heads.

 

The probability that a certain kind of component will survive a given shock test is \[\frac{3}{4} .\]  Find the probability that among 5 components tested at most 3 will survive .

 

Assume that the probability that a bomb dropped from an aeroplane will strike a certain target is 0.2. If 6 bombs are dropped, find the probability that exactly 2 will strike the target .


The probability that a student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university only one 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 shooter hitting a target is \[\frac{3}{4} .\] How many minimum number of times must he/she fire so that the probability of hitting the target at least once is more than 0.99?

 

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes.


A factory produces bulbs. The probability that one bulb is defective is \[\frac{1}{50}\] and they are packed in boxes of 10. From a single box, find the probability that  more than 8 bulbs work properly                                                                                                                            

 

 


Find the binomial distribution when the sum of its mean and variance for 5 trials is 4.8.

 

If X follows a binomial distribution with mean 4 and variance 2, find P (X ≥ 5).

 

A die is thrown three times. Let X be 'the number of twos seen'. Find the expectation of X.    


In a binomial distribution, if n = 20 and q = 0.75, then write its mean.

 

In a group of 200 items, if the probability of getting a defective item is 0.2, write the mean of the distribution.


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

 

If for a binomial distribution P (X = 1) = P (X = 2) = α, write P (X = 4) in terms of α.

 

If X follows binomial distribution with parameters n = 5, p and P(X = 2) = 9P(X = 3), then find the value of p.  


A fair coin is tossed a fixed number of times. If the probability of getting seven heads is equal to that of getting nine heads, the probability of getting two heads is


A fair die is thrown twenty times. The probability that on the tenth throw the fourth six appears is


Let X denote the number of times heads occur in n tosses of a fair coin. If P (X = 4), P (X= 5) and P (X = 6) are in AP, the value of n 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


If X follows a binomial distribution with parameters n = 100 and p = 1/3, then P (X = r) is maximum when r =


A fair die is tossed eight times. The probability that a third six is observed in the eighth throw is


Fifteen coupons are numbered 1 to 15. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9 is


For a binomial variate X, if n = 3 and P (X = 1) = 8 P (X = 3), then p =


Five cards are drawn successively with replacement from a well-shuffled pack of 52 cards. What is the probability that  none is a spade ?


Which one is not a requirement of a binomial distribution?


If in the binomial expansion of (1 + x)n where n is a natural number, the coefficients of the 5th, 6th and 7th terms are in A.P., then n is equal to:


In three throws with a pair of dice find the chance of throwing doublets at least twice.


A fair coin is tossed 6 times. Find the probability of getting heads 4 times.


If X ∼ B(n, p), n = 6 and 9 P(X = 4) = P(X = 2), then find the value of p.


The mean and variance of binomial distribution are 4 and 2 respectively. Find the probability of two successes.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×