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Probability and StatisticsQuestion and Answers: Page 7 |
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The probability that athlete will win a race is (1/6) and that he will be second and third are (1/4) and (1/3) respectively.what is the probability that he will not be first in the first three place! Please,help me out |
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when a die is rolled 42 times it is so happened that a face having the digit i times occured 2i times. then find the mean deviation from the mean of this discrete frequency distribution. ans is ((80)/(63)) sol pls |
show the?connection between the beta distribution(n,p) and hypergeometric distribution(N,k,n)in a limiting case |
a pmf of a random variable Xis given as f(x)=(e^(−10) . 10^x )/x! X=0 , 1 ,2 ... find P(x<16) |
1)The probability of a Malaria patient surviving from a newly discovered drug is 0.27,while the probability of a typhoid patient surviving from another newly discovered drug is 0.85.Find the probabilities of i)Either of the two patient surviving ii)Neither of the two patient surviving iii)At least one survives |
Roll a fair die twice and define A to be event that the sum of the scores showing up is greater than 7, B be the event that the sum of the scores showing up is a multiple of 3 and C be the event that the sum of the scores showing up is a prime number. Which of the events A,B and C are independent event? are the 3 events jointly independent? |
a full deck of 52 cards contains 13 hearts. Pick 8 cards from the deck at random without replacement. what is the probability that you get no heart? |
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on realise une suite infinie d′epreuves independantes.chaque epreuve resulte en un succes avec la probabilite p∈]0;1[ ou un echec avec la probabilite q=1−p.soit A_n l′evement “obenir au moins un succes au cours des premieres epreuves.” determiner P(A_n ) |
on distribue au hasard 8 boules b_1 ...b_8 dans 6 tiroirs t_1 ...t_6 .soit A_i l′evenement “le tiroir t_i est vide” les evenements A_1 et A_2 sont-ils independants ? |
Let the independent random variables X_1 and X_2 have binomial distribution with parameters n_1 =3,p=2/3 and n_2 =4 p=1/2 respectively. Compute P(X_1 =X_2 ) |
if x has a binomial distribution with n=10 and p=(1/3).Find E(e^(3x) ) |
f(x)=4_−_(5^x +1) x=0,1,2..... find the moment generating function |
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A random variable K has a pdf f(k)={_(0 , otherwise) ^e^(−k , 0>k) find E(K) and the cdf |
consider the following pdf of a random variable X f(x)={Σ_(i=0) ^∞ [(−x^2 )i/i!]_(0 otherwise) ^(x>0) find the variance X |
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4 bad apples are mixed accidentally with 20 good apples. Obtain the probability distribution of the numbers of bad apples in a draw of 2 apples at random |
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An experiment consist of flipping a coin and then flipping it a second time if a head occurs.If a tail appears on thei first flip then a die is tossed once. a. Listthe element of the sample space S.b b. List the element of S corresponding to the event A that a number less than 4 occurred on the die. c. List thet element of S corresponding to the event B that 2 tails occurred. |