MATHEMATICAL STATISTICS ho The odds that a book on Statistics will be favourably reviewed by 3 independent critice are 3 2, 4 to 3 and 2to 3 respectively. What is the probability that of the three reviews i) All will be favourable, 1 YEAR BA/B ii) Majority of the reviews will be favourable, iii) Exactly one review will be favourable, iv) Exactly two reviews will be favourable, and v) At least one of the reviews will be favourable. bo The probabilities of X,Y and Z becoming managers are 4/9, 2/9 and 1( probabilities that the bonus scheme will ha 2010 1/2 and 45
MATHEMATICAL STATISTICS ho The odds that a book on Statistics will be favourably reviewed by 3 independent critice are 3 2, 4 to 3 and 2to 3 respectively. What is the probability that of the three reviews i) All will be favourable, 1 YEAR BA/B ii) Majority of the reviews will be favourable, iii) Exactly one review will be favourable, iv) Exactly two reviews will be favourable, and v) At least one of the reviews will be favourable. bo The probabilities of X,Y and Z becoming managers are 4/9, 2/9 and 1( probabilities that the bonus scheme will ha 2010 1/2 and 45
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Transcribed Image Text:iti) Exactly one review will be favourable,
i) Majority of the reviews will be favourable,
v) At least one of the reviews will be favourable.
iv) Exactly two reviews will be favourable, and
2, 4 to 3 and 2to 3 respectively, What in the probability that of the three reviews
The odds that a book on Statistics will be favourably reviewed by 3 independent critics ure 3
probabilities that the bonus scheme will be introduced if X,Y and Z becomes managers ard
ndom, find the probabil
production department,
ings and two are qucens
tment and 1 chartered
nd two cards of diamonds
e chance that the missir
I YEAR B.AI
probability that
TIEMATICAL STATISTICS
IYEAR BA/
i All will be favourable,
Jowing manner:
ane from tne purcha
he probabilities of X,Y and Z becoming managers are 4/9, 2/9 and 1/3 respectively.
310, 1/2 and 4/5 respectively
a What is the probability that Bonus Scheme will be introduced, and
Gii) none is red, (iv)
il if the Bonus Scheme has been introduced whet in the Probability that the managar ay
pointed was X?
probability that all the
b In answering a question on a multiple choice test a student either knows the answer
guesses. Let 1/3 be the probability that he knowe the enswer and 2/3 the probability trhat h1
probability 1/
SSISSIPPI?
Find the probabilit
guesses. Assume that a student who guesses at the answer will be correct
5, where 5 is the number of multiple-choice alternatives, What is the conditional probatiy
that a student knew the answer to a question given that he answered it correcty?
2. Bowl I contain 3 red chips and 7 blue chins bowl II contain 6 red chips and 4blue chips. A n
is selected at random and then one chip 'is drawn from this bow.
rith three dice,
a higher number.
ted with a random
(i) Compute the probability that this chip is red. (ii) Relative to the hypothesis
that the chip is red, find the conditiona! probability that it is drawn from bowl II.
and (b) neither 7 no
23. There are ten urns of which each of three contains 1 white and 9 black balls, cach of other
three contains 9 white and 1 black ball, and of the remaining four each contains 5 white and
rst die or a total of
5 black balls. One of the urns is selected at random and a ball taken blindly from it turns out
to be white. What is the probabililty that an urn containing 1 white and 9 black balls was
obability that the
selected?
24. A and B are two very weak students of Statistics and their chances of solving a problem cor-
ma surve that of
rectly are 1/8 and 1/12 resptively. If the probability of their making a common mistake is 1
E, 5% read both A
1001 and they obtain the same answer, find the chance that their answer is correct.
least one of the
b5 Suppose 5 men out of 100 and 25 women of 10,000 are colour blind. A colour blind person is
chosen at random. What is the probability of his being male? (Assume males and females to be
a heart or a red
****
in equal number.)
box at random,
h colour.
t her husband
Dnly husband
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