Mathematics, 20.09.2019 19:30 myanniespencer39

In london, half of the days have some rain. the weather forecaster is correct 2/3 of thetime, i. e., the probability that it rains, given that she has predicted rain, and the probabilitythat it does not rain, given that she has predicted that it won’t rain, are both equal to 2/3.when rain is forecast, mr. pickwick takes his umbrella. when rain is not forecast, he takesit with probability 1/3. find (a) the probability that pickwick has no umbrella, given that itrains. (b) the probability that it doesn’t rain, given that he brings his umbrella.

Answers: 3

Show answers

Answers

Answer from: clarkster112679

(a) The probability that Pickwick has no umbrella, given that it rains is 2/9

(b) The probability that it doesn’t rain, given that he brings his umbrella is 5/9

Step-by-step explanation:

(a) The probability that Pickwick has no umbrella, given that it rains: P1

P1 = P (rain) * P (not umbrella)

This probability have two components, if rain forecasts or not rain forecasts:

When rain is forecast Mr. Pickwick takes his umbrella, so the probability of not umbrella is zero and the probability of rain for a rain forecast is 2/3 (the weather forecaster is correct 2/3 of the time)When not rain forecast, he takes it with probability 1/3, so the probability of not takes it is 2/3 and the probability of rain with a not rain forecast is 1/3 (the weather forecaster is correct 2/3 of the time, so there is 1/3 probability of rain)

P1 = 2/3*0 + 1/3*2/3 = 0 + 2/9 = 2/9

The probability that Pickwick has no umbrella, given that it rains is 2/9

(b) The probability that it doesn’t rain, given that he brings his umbrella: P2

P2 = P (not rain) * P (umbrella)

This probability have two components, if rain forecasts or not rain forecasts:

When rain is forecast Mr. Pickwick takes his umbrella, so the probability is one and the probability of rain for a rain forecast is 2/3, so the probability of rain is 1/3 (the weather forecaster is correct 2/3 of the time, so 1/3 will be wrong)When not rain forecast, he takes it with probability 1/3 and the probability of not rain with a not rain forecast is 2/3 (the weather forecaster is correct 2/3 of the time)

P1 = 1/3*1 + 2/3*1/3 = 1/3 + 2/9 = 5/9

The probability that it doesn’t rain, given that he brings his umbrella is 5/9

Answer from: adjjones2011

The other person is right

Step-by-step explanation:

Answer from: Quest

cbnygjdyj

step-by-step explanation:

Answer from: Quest

I’m sorry i can’t u

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Two blends of tea are mixed to make a blend that will be sold at the fair. black tea sells for $2.20 per pound and orange pekoe tea sells for $3.00 per pound. how much of each should be used to obtain a 4lb blend selling for $2.50 per pound?

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

What is the rate of change of a line that passes through (2,-5) and (6,-2)?

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

How to simply and write the answer n a whole number

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Here is my question! jayne is studying urban planning and finds that her town is decreasing in population by 3% each year. the population of her town is changing by a constant rate.true or false?

Answers: 2

Answer

You know the right answer?

In london, half of the days have some rain. the weather forecaster is correct 2/3 of thetime, i. e.,...

Questions

Mathematics, 22.12.2021 17:30

Find NMC triangle's perimeter if BO:BK=1:3 and ABC triangle's perimeter is 96

SAT, 22.12.2021 17:30

Which action would most likely be protected under the first amendment....

Mathematics, 22.12.2021 17:30

2. In a box of 80 glasses, 3 are broken. Work out the percentage of broken glasses in the box....

Mathematics, 22.12.2021 17:30