The probability of a weekday being overcast is given in the tree diagram as 0.071 (or 7.1%). So, the correct answer is: C. 0.071
To find the probability of a weekday that is overcast, we need to consider the probability of a weekday being overcast relative to all weekdays.
The probability of a weekday being overcast is given in the tree diagram as 0.071 (or 7.1%).
Therefore, the correct answer is:
C. 0.071
This probability is directly obtained from the weekday branch of the tree diagram, where the probability of overcast weekdays is specified.
It is essential to interpret the information accurately from the given probabilities for weekdays with different weather patterns.
No computation is required, as the probability is explicitly provided in the diagram.
The probable question may be:
The tree diagram below shows the probabilities for the simple events combining weather patterns and days of the week. What is the probability of a weekday that is overcast?
286 Weekends have 75 Clear(.215), 10 Overcast (.029), 15 raining (0.043)
714 Weekdays have 75 Clear(.536), 10 Overcast (.071), 15 raining (0.107)
A. .0.29
B. .10
C. .071
D. 1-.071
E. .286