Answered

At a large university, the statistics department has tried a different text during each of the last three quarters. during the fall quarter, 500 students used a book by professor mean; during the winter quarter, 300 students used a book by professor B; and during the spring quarter, 200 students used a book by professor C. A survey at the end of each quarter show that 200 students were satisfied with the text in the fall, 150 in the winter, and 160 in the spring, respectvelt. a. if a student who took statistics during one of these there quarters is selected at random, what is the probability that the student is satisfied with text book? b. if a randomly selected student reports being satisfied with the book, what is the probability that the student used the book by A



Answer :

The probability that the student is satisfied with the tentbook is given by 56% or 0.56

Given that,

Let A denotes the event that student used book by Professor A

Similarly B and C

let X be the event that student is satisfied

P [ Student is satisfied given he used a book by professor A ]=

= P[x / A ] = 200/500

= 0.4

Also

P[X/B] = 150/300 = 0.5

P [X/C] = 160/200 = 0.8

Also P(A ) = P(B ) = P(e) = 1/3

The probability that the student is satisfied with the textbook is givenby

P( x ) = P(A). P (x / A ) + P(B ). P( X/B ) + P(e ) P(x/e )

=1/3(0.4) + 1/3(0.5) + 1/3(0.8)

= 0.56667

Hence, The probability that the student is satisfied with the textbook is given by 56%

To learn more about Probability click here:

brainly.com/question/11234923

#SPJ4

Other Questions