11th class statistics,100% Guess complete book important short questions,1st year class 100% guess,part 2, provided by welcome academy

 

Most important short questions of 11th class statistics,ics inter class part1 statistics important short questions,provided by @welcomeacademy123 according to smart syllabus,alp

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title:11th class statistics,100% Guess complete book important short questions,1st year class 100% guess,part 2, provided by welcome academy 

cci) Define a set and a subset?
ccii) A coin is tossed twice. Find the conditional probability of getting
cci) Define a set and a subset?
two heads given at least one head.   
cciii) If P(A) =0.5 and P(B/A)=0.3.Find P(A∩B).
cciv) P(A)=0.3, P(B)=0.4 and P( A and B )=0.20    
ccv) If P(A)=0.30 and P(B)=0.6, then find a P(A|B) (b) P(AUB). 

ccvi) What are Non-Mutually Exclusive events?    
ccvii) What is a random experiment?
ccviii) What is the difference between an outcome and an event?    
ccix) What is a sample space?
ccx) State the difference between sample and compound events.    
ccxi) Give an example of each sample and compound events? 

ccxii) What is the sample space when three distinct coins are
tossed simultaneously?    
ccxiii) Define mutually exclusive events?
ccxv) Define exhaustive or completely exhaustive or collectively
ccxiv) What is a dependent events? exhaustive outcomes?
ccxvi) State the classical or a prior definition of probability.    

ccxvii) What is the axiomatic approach to probability?
ccxix) Distinguish between joint probability and marginal

ccxviii) State the relative frequency definition of probability? 

ccxx) What is the probability of getting at least one tail in three tosses of a coin?

ccxxii) Give the probability for each of the following totals in the rolling of two dice: 1,2,5,9,10,11 and 12.
probability?
ccxxi) What is the probability that a card chosen at random from a pack of 52 cards will be either a king or a heart?
ccxxiii) What is the probability that a couple's second child will be (i) a boy given that their first child was a girl? (ii) a girl given that their first child was a girl?

ccxxiv) Assume that for two events A and B,P(B)=0.80, P(A|B)=P(A)

ccxxv) What is the probability that is selecting two cards one at a

and P(B|A)=0.85. Is this a consistent assignment of probabilities? Explain.

ccxxvi) If A and B are independent events with P(A)=o.2 and P(B)=0.6 find P(A U B).

ccxxviii) If A and B are not mutually events and P(A)=0.60 and P(B)=0.08, then find P(AUB)
ccxxx) A drum contains 50 bolts and 150 nuts.Half of the bolts and half of the nuts are rusted. If one item is chosen at random, what is
time from a deck with replacement, the second card is a face and card given that the first card was red?
ccxxvii) Assume that x is a number chosen at random from the set of integers 1 and 15 inclusive. what is the probability that (i) X is a single digit number (ii) X is a multiple of 5
ccxxix) An integer is chosen at random at random from the first 100 positive integers.Find the probability that it is divisible by (i) 8 and 12 (ii) 16 and 20

the probability that it is rusted or it is bolt .    
ccxxxi) What is the range of probability?
ccxxxii) If P(A) =0.7, P(B)-0.5 and P(a|B)=0.5,find P(A∩B)?    

ccxxxiii) When does probability becomes negative?

ccxxxiv) State only law of addition of mutually exclusive and non- mutually exclusive events.
ccxxxvi) Find the value of P(A∩B) if P(A)=0.4, P(B)=0.7 and
ccxxxv) Are the events A and b independent if P(A)=0.5 and P(A|B)=0.4?
P(AUB=0.3)    
ccxxxvii) Draw the sample space when four coins are tossed. 

ccxxxviii) Find the minimum and maximum sum of dots when a pair
of dice is rolled.    
ccxxxix) What do you meant by Equally Likely Events?
ccxli) Find the probability of obtaining even numbers, when a die is rolled.
ccxl) Give two examples of Mutually exclusive events.
ccxlii) Given that P(A)=3/14, P(B)=1/6, P(C)=1/3, P(A∩C)=1/7 and
rolled.
P(B|C)=5/21, find the probabilities P(A|C), P(C|B).    
ccxliii) If P(A)=1/3 , P(AUB)=1/2 and P(A ∩B)=1/10,find P(B). 

ccxliv) Let A and B be two events associated with an experiment.
Let P(A)=0.4, P(AUB)=0.7. Let P(B)=p. Find 'p' when (i) A and B are 

ccxlv) If A and B are two independent events such that P(A)=0.2
mutually exclusive (ii) A and B are independent .
and P(B)=0.15 then evaluate (1) P(A∩B) (2) (P(A/B)).
ccxlvi) A random variable X takes values 0,1,2,3,4,5 with probabilities P(x) equal to 1/5, 1/10, 1/5, 2/5 respectively. Suppose instead of the probabilities you are given frequencies 2,1,1,2,4.Will there be any change in the values of E(X) and standard deviation of
X(   x)    ccxlvii) Given F(x)=K/x, x=1,2,3 find K.
ccxlviii) How can random numbers be generated?    
ccxlix) Give an example of random variable ?

ccl) Differentiate between discrete and continuous random variable?
ccli) Define continuous random variable.
cclii) Define probability distribution?    
ccliii) Describe the properties of a discrete probability distribution. 

ccliv) Define the distribution function of a discrete random variable X.    
cclv) What do you mean by expected value of a random variable.
cclvi) Define variance and standard deviation of random variable.    
cclvii) Write down the properties of variance and standard deviation.
cclviii) How would you represent the discrete probability distribution?
cclx) How the distribution function is represented graphically is in the discrete and continuous case?
cclxii) Write down the formula for the probability distribution of the sum of spots when a pair of dice is rolled.
cclix) How would you represent the continuous probability distribution?
cclxi) A committee of size 5 is to be selected random from 3 women and 5 men. Find the expected number of women on the committee.   
cclxiii) What does"p.d.f". standard for?
cclxiv) Find 'k' for the given probability distribution?    
cclxv) If E(X)=3, E(Y)=2.5 then E(X+Y)=?
cclxvi) Write down the properties of random experiment?    

cclxvii) Given x=0,1,2 P(x)=9/16, 6/16, 1/16 find E(X) ,Var(X) 

cclxviii) Given X=2,4,6, P(X)=2/6, 2/6, 2/6, find E(X2)    
cclxix) Write down the conditions of probability mass function.
cclxxi) Given F(x)=x/10 , x=1,2,3,4 Show that f(x) is a probability
cclxx) given 0,1,2 P(X)=4C, 3C, C.find the value of C?    function.
cclxxii) If E(X)=5, find E(=3X+2) .Var(X)=1 and Var(2-3X).    

cclxxiii) If E(X)=3 and E(X2)=12, then find variace and S.D of X? 

cclxxiv) Given E(X)=204 and C.V(X)=6 Find SX ?    
cclxxv) Define the probability density function?
cclxxvii) Why is the discrete probability function b(x;n, p)= nCx pnqn-
cclxxvi) Define the binomial probability distribution.    x called the binomial distribution?
cclxxviii) State the properties of the binomial experiment ?    

cclxxix) What are Bernoulli trail?
cclxxx) Describe the application of the binomial distribution.    

cclxxxi) what is hypergeometric experiment?
cclxxxii) Define hypergeometric probability function.    

cclxxxiii) State the properties of the hypergeometric experiment .
cclxxxv) Identify parameters of the binomial distribution b(x;n, p)
cclxxxiv) Define hypergeometric random variable.    and the hypergeometric distribution h(x;N,n,k)
cclxxxvi) If n =10, q=0.4 find the mean and variance of the binomial 

cclxxxvii) Is it possible to have binomial distribution with mean 10

distribution.
cclxxxviii) Mean=6 ,Variance=2, find out parameter of binomial distribution.
ccxc) given N=10,n=4,K=5 find E(X)
ccxcii) If p=q ,n=10 find out Mean and Variance?
ccxciv) Is it possible to have binomial distribution with mean 5 and standard deviation 4?
cclxxxix) Find the binomial distribution whose mean is 12 and standard deviation is 3.
ccxci) What is the probability of getting 4 sixes when a die is rolled 5 times?
ccxciii) Establish the relation between the mean and variance of the binomial distribution b(x;n,p) and the hyper geometric distribution h(x;N,n,k)
standard deviationis 3.7?    
ccxcv) What is the mean and variance of (q+p)12?
ccxcvi) In hyper geometric distribution N=40 ,n=5 and k=4 .Find mean and variance?
ccxcvii) In binomial distribution n=5 and p=0.2. find coefficient of variation. Also find P(X=2).

ccxcviii) In binomial distribution the mean is 3 and S.D is 1.5. find its 

ccxcix) Find the mean of the hyper geometric distribution when N=8, parameters.
ccc) Given N=10,n=4, and K=5, find E(X)
n=2 and K=8.
 

End.Thanks for reading.