Based on meteorological records, there is significant rainfall 30% of the days in a year If there is significant rainfall on any given day. 75% of the time there was significant rainfall the prior day. However, if there is no significant rainfall on a given day. there was significant rainfall the prior day only 40% of the time Answer the following for a randomly selected day: What is the probability of no significant rainfall on a day. it there was no significant rainfall on the prior day?

a. 0.857

b. 0.848

c. 0.42

d. 0.40

e. 0.152

Question

Mathematics

Melina Hayes

26 December, 22:46

Based on meteorological records, there is significant rainfall 30% of the days in a year If there is significant rainfall on any given day. 75% of the time there was significant rainfall the prior day. However, if there is no significant rainfall on a given day. there was significant rainfall the prior day only 40% of the time Answer the following for a randomly selected day: What is the probability of no significant rainfall on a day. it there was no significant rainfall on the prior day?

a. 0.857

b. 0.848

c. 0.42

d. 0.40

e. 0.152

+3

Answers (1)

Know the Answer?

Gavyn · Answer 1

a. 0.857

Step-by-step explanation:

Data provided in the question

Significant rainfall = 30%

Significant rainfall in the prior day = 75%

Significant rainfall the prior day in the case of no significant rainfall = 40% of the time

Now the probability of no significant rainfall on a day is

= P (B) + P (B : A) - P (A)

= 0.75 + 0.40 - 0.30

= 0.85

Hence, the correct answer is a. 0.857