Question

1. Studies of weather in the Midwest show that, historically, the Major River will have a...

1. Studies of weather in the Midwest show that, historically, the Major River will have a major flood every 20 years.

Based on the historical record…….

a. What is the probability that the Major River will have a major flood next year?

State the answer as a fraction

State the answer as a proportion with 4 decimal places

b. What is the probability that the Major River will NOT have a major flood next year?

State the answer as a fraction

State the answer as a proportion with 4 decimal places

c. What is the probability that the Major River will have a major flood in both of the next two years? (Give the answer as a fraction)

d. What is the probability that the Major River will have a major flood in either of the next two years? (Give the answer as a fraction)

Math   Statistics-And-Probability   
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Answer #1

The probability of a flood in a year is computed here as: 1/20 = 0.05

a) The probability that the next year, there would be a flood is computed here as:

Therefore 0.0500 is the required probability here.

b) The probability of no flood in the next year is computed here as:

Therefore 0.9500 is the required probability here.

c) Now the probability that the Major River will have a major flood in both of the next two years is computed here as:

Therefore 0.0025 is the required probability here.

d) Probability of a flood in either of the next 2 years is computed here as:

= 1 - Probability of no flood in the next 2 years.

Therefore 0.0975 is the required probability here.

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