The following bar graph summarizes the weather conditions in Crayonton for each day this month so far.
Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow?
Choose the best answer.
Answers
The complete question with the required set of options is : The following bar graph summarizes the weather conditions in Crayonton for each day this month so far. Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow? Choose the best answer (The graph has been attached below).
a. 14
b. 17
c. 21
d. 25
Given :
A bar graph showing per day weather conditions in Crayonton for the present month so far.
To find :
The estimate of probability that it will be sunny tomorrow.
Solution :
• Probability of an event is given by : Number of favourable outcomes / Total number of possible outcomes
• According to the graph,
Number of sunny days experienced so far = 3
Number of cloudy days experienced so far = 5
Number of rainy days experienced so far3 = 2
Number of snowy days experienced so far = 2
• Adding all the numbers of days together, we get the total number of days gone so far.
∴ Total number of days already gone = 3 + 5 + 2 + 2 = 12 days
• Now, the probability of the next day being sunny is to be estimated. Therefore, our favourable outcome would be a sunny day.
• So, the probability of the day being sunny tomorrow (P) = Number of sunny days experienced so far / Total number of days gone so far
=> P = 3 / 12
=> P = 1 / 4
• Now, estimate of the probability of tomorrow being sunny = Percentage probability of tomorrow being sunny
• Percentage of any number is given by multiplying that number by 100 followed by a % sign.
∴ Probability estimate = (1 / 4) × 100 % = 25 % (option d)
Answer - A reasonable estimate of the probability that it will be sunny tomorrow is 25 %. Hence, option d is the best answer.
Answer:
Step-by-step explanation: