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Probability of a day with ran P(rain)= 0.25 Probability of no-rain or dry is P(dry)=0.75 a) Assuming the weather on different days is independent, calculate the probability of observing two rainy days followed by 25 days of which at least 22 (in any particular order) are dry.  b) It has been observed that delays are  ore likely to occur at a junction on wet days than dry days. This tendency is expressed by conditional probabilities: P(delay|wet)= 0.4 P(delay|dry)= 0.1 The probability of the next day being wet is P(wet)=0.7. What is the corresponding probability of a delay at the junction?

Probability of a day with ran P(rain)= 0.25 Probability of no-rain or dry is P(dry)=0.75 a) Assuming the weather on different days is independent, calculate the probability of observing two rainy days followed by 25 days of which at least 22 (in any particular order) are dry.  b) It has been observed that delays are  ore likely to occur at a junction on wet days than dry days. This tendency is expressed by conditional probabilities: P(delay|wet)= 0.4 P(delay|dry)= 0.1 The probability of the next day being wet is P(wet)=0.7. What is the corresponding probability of a delay at the junction?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Probability of a day with ran P(rain)= 0.25

Probability of no-rain or dry is P(dry)=0.75

a) Assuming the weather on different days is independent, calculate the probability of observing two rainy days followed by 25 days of which at least 22 (in any particular order) are dry. 

b) It has been observed that delays are  ore likely to occur at a junction on wet days than dry days. This tendency is expressed by conditional probabilities:

P(delay|wet)= 0.4

P(delay|dry)= 0.1

The probability of the next day being wet is P(wet)=0.7. What is the corresponding probability of a delay at the junction?

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