The record of a weather station shows that out of the past 150 consecutive days, its weather forecast were correct 90 times. 1) what is the probability that on a given day it was correct?
Answers
Answer:
Probability= 0.6
Step-by-step explanation:
No. of day the weather forecast was correct: 90 days
Total no. of days: 150
Probability = No. of times the event took place
Total no. of events
= 90
150
= 3
5
= 0.6
Therefore the probability of the correct weather forecast is 0.6.
Given,
The record of a weather station shows that out of the past 150 consecutive days, its weather forecast was correct 90 times.
To find,
The probability that on a given day it was correct.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
The probability of occurrence of a favorable event = P (favorable event)
= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)
= (Total number of occurrence of the favorable event) / (Total number of trials)
As per the given question;
The favorable event is the record of the weather station on a day chosen at random is correct.
The number of occurrences of the favorable event
= (the number of days for which the weather forecast is correct) = 90 times
And, the total number of trials = total number of days for which the weather report was considered = 150
So, the probability that on a given day the forecast was correct
= (Total number of occurrence of the favorable event) / (Total number of trials)
= (the number of days for which the weather forecast is correct)/(total number of days for which the weather report was considered)
= 90/150 = 3/5 = 0.6
Hence, the probability that on a given day the forecast was correct is equal to 0.6.