Peanuts, a rock and roll producer, has scheduled an outdoor Woodstock 2 concert where revenue will be donated to Goodwill. The profit of Woodstock 2 depends on the weather on that day, namely if the weather it is warm, cool, or frigid. If the weather is warm, Peanuts expects to make a $20,000 profit; if it is cool, Peanuts expects to make a $5,000 profit; if it is frigid, Peanuts expects to incur a $12,000 loss. Meteorologists estimate a probability distribution that based on the historical records for Woodstock NY, the chances of a warm day is 0.60, and the chances of a cool day is 0.25.
Required:
1. What is Woodstock 2's expected profit?
a) $ 5.000
b) $ 11,450
c) $ 13,000
d) $ 13,250
e) $ 15,050

b) $ 11,450

Step-by-step explanation:

Each outcome has the following probability:

60% = 0.6 probability of a warm day. On a warm day, $20,000 profit. So 0.6 probability of a profit of $20,000.

25% = 0.25 probability of a cool day. On a cool day, $5,000 profit. So 0.25 probability of a profit of $5,000.

100 - (60+25) = 15% = 0.15 probability of a frigid day. On a frigid day, loss of $12,000. So 0.15 probability of losing $12,000.

1. What is Woodstock 2's expected profit?

We multiply each outcome by its probability.

0.6*20000 + 0.25*5000 - 0.15*12000 = 11450

The answer is b).

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.