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8 January, 01:22

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

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Answers (1)
  1. 8 January, 01:49
    0
    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
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