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Probability and StatisticsQuestion and Answers: Page 8

Question Number 147413 Answers: 0 Comments: 0

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.

$An experiment consist of flipping a$ $coin and then flipping it a second time$ $if a head occurs . If a tail appears on thei$ $first flip then a die is tossed once .$ $a . Listthe element of the sample space S . b$ $b . List the element of S corresponding$ $to the event A that a number less than$ $4 occurred on the die .$ $c . List thet element of S corresponding to the$ $event B that 2 tails occurred .$

Question Number 147158 Answers: 2 Comments: 0

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Question Number 145869 Answers: 2 Comments: 0

Let A and B be 2 events such that P(A)=0.4, P(B^− /A)=0.7 and P(B/A^− )=0.6, then find (i)P(B^− /A^− ) (ii)P(A∩B) (iii) P(B) (iv)P(A∪B)

$Let A and B be 2 events such that P (A) = 0.4, P (\bar{B} / A) = 0.7$ $and P (B / \bar{A}) = 0.6, then find$ $(i) P (\bar{B} / \bar{A}) (i i) P (A \cap B) (i i i) P (B) (i v) P (A \cup B)$

Question Number 145831 Answers: 2 Comments: 0

A box P, contains 4 white, 2 green and 3 blue cards. Another box Q, contains 2 white, 3 green and 2 blue cards. A card is picked at random from P and placed in Q. A card is then picked from Q. Find the probability that the (a) card picked from Q is white. (b) cards picked from P and Q are of the same colour.

$A box P, contains 4 white, 2 green and$ $3 blue cards . Another box Q, contains$ $2 white, 3 green and 2 blue cards . A card$ $is picked at random from P and placed$ $in Q . A card is then picked from Q .$ $Find the probability that the$ $(a) card picked from Q is white .$ $(b) cards picked from P and Q are of$ $the same colour .$

Question Number 145678 Answers: 0 Comments: 0

let X_1 and X_(2 ) be independent random variable of uniform distribution . If it is known that X_i ∼uniform (0,1) and let S = X_1 + X_2 Determine the Probability density function from S!

$l e t X_{1} a n d X_{2} b e i n d e p e n d e n t r a n d o m v a r i a b l e$ $o f u n i f o r m d i s t r i b u t i o n . I f i t i s k n o w n t h a t$ $X_{i} \sim u n i f o r m (0, 1) a n d l e t S = X_{1} + X_{2}$ $D e t e r m i n e t h e P r o b a b i l i t y d e n s i t y f u n c t i o n$ $f r o m S!$

Question Number 145675 Answers: 3 Comments: 0

the probabilty density function is known as follows : f(x) = {_(0 , x other) ^(cx^3 , 0 < x < 4) define P(1 < x < 2)!

$t h e p r o b a b i l t y d e n s i t y f u n c t i o n$ $i s k n o w n a s f o l l o w s :$ $f (x) = {_{0, x o t h e r}^{{c x}^{3}, 0 < x < 4}$ $d e f i n e P (1 < x < 2)!$

Question Number 145674 Answers: 0 Comments: 0

the probability density function with two continous random variable X and Y is a follows : f(x,y) = {_(0 , x other) ^(2x + 2y , 0 < x < 1, 0 < y < 1) determine the correlation coefficient between X and Y!

$t h e p r o b a b i l i t y d e n s i t y f u n c t i o n w i t h t w o c o n t i n o u s r a n d o m$ $v a r i a b l e X a n d Y i s a f o l l o w s :$ $f (x, y) = {_{0, x o t h e r}^{2 x + 2 y, 0 < x < 1, 0 < y < 1}$ $d e t e r m i n e t h e c o r r e l a t i o n c o e f f i c i e n t$ $b e t w e e n X a n d Y!$

Question Number 145583 Answers: 0 Comments: 0

une urne contient N boules dont M boules blanches et N−M boule noires on tire successivement et sans remise n boules de l′urne. soit A_i :′′prelever une boules noires au ieme tirage′′ calculer P(A_i )

$u n e u r n e c o n t i e n t N b o u l e s d o n t$ $M b o u l e s b l a n c h e s e t N - M b o u l e n o i r e s$ $o n t i r e s u c c e s s i v e m e n t e t s a n s r e m i s e$ $n b o u l e s d e l^{'} u r n e .$ $s o i t A_{i} :^{″} p r e l e v e r u n e b o u l e s n o i r e s a u i e m e$ ${t i r a g e}^{″}$ $c a l c u l e r P (A_{i})$

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Question Number 145136 Answers: 1 Comments: 0

Soit X une variable aleatoire de loi geometrique de parametre p∈]0.1[ calculer P({X≥4})

$S o i t X u n e v a r i a b l e a l e a t o i r e d e l o i$ $g e o m e t r i q u e d e p a r a m e t r e p \in] 0.1 [$ $c a l c u l e r P ({X ⩾ 4})$

Question Number 145134 Answers: 0 Comments: 1

On dispose de N+1 urnes.l′urne U_k contient k boules blanches et N−k boules noires.on tire successivement sans remise n boules de l′urne et on note An l′evenement ′′choisir n boules noires lors des n premiers tirages′′. Determiner P(An). on notera U_k =′′choisir l′urne k′′

$O n d i s p o s e d e N + 1 u r n e s . l^{'} u r n e U_{k}$ $c o n t i e n t k b o u l e s b l a n c h e s e t N - k b o u l e s$ $n o i r e s . o n t i r e s u c c e s s i v e m e n t s a n s$ $r e m i s e n b o u l e s d e l^{'} u r n e e t o n n o t e$ $A n l^{'} e v e n e m e n t^{″} c h o i s i r n b o u l e s n o i r e s$ $l o r s d e s n p r e m i e r s {t i r a g e s}^{″} . D e t e r m i n e r$ $P (A n) . o n n o t e r a U_{k} =^{″} c h o i s i r l^{'} u r n e k^{″}$

Question Number 144754 Answers: 0 Comments: 0

consider a random variable definite by geometric law compute P({X≥4})

$c o n s i d e r a r a n d o m v a r i a b l e d e f i n i t e b y$ $g e o m e t r i c l a w c o m p u t e P ({X ⩾ 4})$

Question Number 144372 Answers: 0 Comments: 0

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