The expectation value is given by:
In this case we just have two options, each with probability 1/2, and the values of x are 2 and 9; then we have:
Therefore, the expectation is $6.5
1/2 mile / 1/5 hour = x miles/ 1 hour
using cross products
1/2 * 1 = x * 1/5
multiply by 5 on each side
1/2*5 = x
x = 5/2 miles
x = 2 1/2 miles
It is important to note that all the information's required are already given in the question
Probability that a day will be hot = 0.15 + 0.10
= 0.25
Probability that a day will be sunny = 0.15 + 0.30 + 0.10
= 0.55
Adding the above two probabilities, we get = 0.25 + 0.55
= 0.80
Now
Probability that a day will be both hot and sunny = 0.15
So
Probability that a day was hot or sunny = 0.80 - 0.15
= 0.65
I hope the procedure is clear enough for you to understand.
Answer:
c. 6
Step-by-step explanation:
The degree of a vertex is the number of arc ends that intercept it. (The other end of the arc is irrelevant.)
Vertex A is connected to B (1), D (2), F (1), and itself (2). There are a total of 6 arc ends that meet vertex A. Its degree is 6.
