John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the numbe of'boks they will buy is given below. Number of books John wi buy Probability 0.50 0.100.250.15 Number ofbooks Beth will buy 023 Probability 025 0.45 0.10 020 Assuming that John and Beth mnke their decisions to purchase books independently, what is the probability that a total of 0 books are purchased? a) 0.8750 b) 0.6250 c) 0.2500d) 0.1250

Question

Malachi Tanner

Mathematics

5 September, 09:28

John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the numbe of'boks they will buy is given below. Number of books John wi buy Probability 0.50 0.100.250.15 Number ofbooks Beth will buy 023 Probability 025 0.45 0.10 020 Assuming that John and Beth mnke their decisions to purchase books independently, what is the probability that a total of 0 books are purchased? a) 0.8750 b) 0.6250 c) 0.2500d) 0.1250

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Jazlynn Mason · Answer 1

D) 0.1250

Step-by-step explanation:

Let P (J) = Probability of John to purchase 0 books

Let P (B) = Probability of Beth to purchase 0 books

P (J∩B) = Probability that both john and Beth will purchase 0 books. ie. a total of 0 books is purchased.

Since the decisions to purchase books are two independents events,

P (J∩B) = P (J) * P (B)

P (J) = 0.5

P (B) = 0.25

P (J∩B) = 0.5 * 0.25

P (J∩B) = 0.125