A bookbook can be classified as either non dash fictionnon-fiction or fictionfic

Question

A bookbook can be classified as either non dash fictionnon-fiction or fictionfiction. 95% of booksbooks are classified as fictionfiction. (a) Two booksbooks are chosen at random. What is the probability that both booksbooks are fictionfiction? (b) Eight booksbooks are chosen at random. What is the probability that all eight booksbooks are fiction? (c) What is the probability that at least one of eightrandomly selected booksbooks is non dash fiction non-fiction? Would it be unusual that at least one of eight randomly selected booksbooks is non dash fiction non-fiction? (a) The probability is nothing. (Round to four decimal places as needed.) (b) The probability is nothing. (Round to four decimal places as needed.) (c) The probability is nothing. (Round to four decimal places as needed.) It would be unusual not be unusual that at least one of eight randomly selected booksbooks is non dash fictionnon-fiction.

Explanation / Answer

BIONOMIAL DISTRIBUTION
pmf of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial
I.
mean = np
where
n = total number of repetitions experiment is excueted
p = success probability
mean = 2 * 0.95
= 1.9
II.
variance = npq
where
n = total number of repetitions experiment is excueted
p = success probability
q = failure probability
variance = 2 * 0.95 * 0.05
= 0.095
III.
standard deviation = sqrt( variance ) = sqrt(0.095
=0.30822
Q1.
P( X = 2 ) = ( 2 2 ) * ( 0.95^2) * ( 1 - 0.95 )^0
= 0.9025
Q2.
P( X = 8 ) = ( 8 8 ) * ( 0.95^8) * ( 1 - 0.95 )^0
= 0.66342
Q3.
P(atleast one among eight is non dash) =
P( X < 1) = P(X=0)   
= ( 8 0 ) * 0.05^0 * ( 1- 0.05 ) ^8
= 0.66342
P( X > = 1 ) = 1 - P( X < 1) = 0.33658

Q4.
it is not unusual to get

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.