a publisher wants to determine how many copies of a certain book they should print. they have estimated the…

a publisher wants to determine how many copies of a certain book they should print. they have estimated the probability of selling different amounts of the book, and a portion of the probability distribution is given below.\n|copies|between 20001 and 30000|between 30001 and 40000|between 40001 and 50000|at least 50001|\n|--|--|--|--|--|\n|probability|28%|32%|14%|6%|\nenter your answers for this problem as percentages.\n*(a)* what is the probability that the publisher sells at least 30001 copies of the book?\n*(b)* what is the probability that the publisher sells 30000 copies or fewer of the book?\n*(c)* what is the probability that the publisher sells 20000 copies or fewer of the book?

a publisher wants to determine how many copies of a certain book they should print. they have estimated the probability of selling different amounts of the book, and a portion of the probability distribution is given below.\n|copies|between 20001 and 30000|between 30001 and 40000|between 40001 and 50000|at least 50001|\n|--|--|--|--|--|\n|probability|28%|32%|14%|6%|\nenter your answers for this problem as percentages.\n*(a)* what is the probability that the publisher sells at least 30001 copies of the book?\n*(b)* what is the probability that the publisher sells 30000 copies or fewer of the book?\n*(c)* what is the probability that the publisher sells 20000 copies or fewer of the book?

Answer

Explanation:

Step1: Calculate probability of selling at least 30001 copies

We sum the probabilities of selling between 30001 - 40000, 40001 - 50000 and at least 50001 copies. So, $32%+14% + 6%=52%$.

Step2: Calculate probability of selling 30000 copies or fewer

The total probability is 100%. Probability of selling at least 30001 copies is 52%. So, $100% - 52% = 48%$.

Step3: Calculate probability of selling 20000 copies or fewer

We know probability of selling between 20001 - 30000 is 28%. Probability of selling 30000 copies or fewer is 48%. So, $48% - 28%=20%$.

Answer:

(a) 52% (b) 48% (c) 20%