Question

The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 times.
(i)What is the probability that on a given day it was correct?
(ii) What is the probability that on a given day it was not correct?

Answer 1

Answer:

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Step-by-step explanation:

1.  No. of favorable events =175

    Total no. of outcomes=250

    Probability of getting a right prediction on a given day =175/250=7/10

2.  No. of favorable events =250-175=75

    Total no. of outcomes=250

    Probability of getting a wrong prediction on a given day=75/250=3/10.

Answer 2

Answer :-

i)0.7

ii)0.3

Explanation :-

Given :

Number of days,for which record is available => 250

Number of days,the forecast were correct => 175  

To Find :

(i)What is the probability that on a given day it was correct?

(ii) What is the probability that it was not correct on a given day?

Solution :

We know,

$\boxed{\sf{}Probability =\dfrac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ outcomes}}$

So,

i)$\sf{}P(forcast\ was\ corrected),$

$\sf{}\dfrac{Number\ of\ days\ the\ forecast\ were\ correct}{Total\ number\ days\ forecasted}$

$\sf{}:\implies \dfrac{175}{250}$

$\sf{}:\implies \dfrac{35}{50}$

$\sf{}:\implies \dfrac{7}{10}$

$\sf{}\therefore 0.7$

Therefore,probability on a given day it was corrected is equal to 0.7

ii)$\sf{}P(forecast\ was\ not\ correct),$

$\sf{}\dfrac{Number\ of\ days\ forecast\ were\ not\ correct}{Total\ number\ days\ forecasted}$

$\sf{}:\implies \dfrac{250-175}{250}$

$\sf{}:\implies \dfrac{75}{250}$

$\sf{}:\implies \dfrac{15}{50}$

$\sf{}:\implies \dfrac{3}{10}$

$\sf{}\therefore 0.3$

Therefore,probability on a given day it was not corrected is equal to 0.3