Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,

The probability that he makes the next 2 free throws is:

The payout rules are:
- If the player makes the next 2 free throws, I will pay you $38.
- Otherwise you pay me $50.
Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)

Thus, the expected value of the proposition is -$0.76.
Answer:
There is enough evidence to support the claim
Step-by-step explanation:
We are conduction a hypothesis test for dependent samples. We want to see if there was a change in the test subjects cholesterol levels.
For our situation:
n = 64
d = 0.7
s = 1.72
µ(d) = 0
The hypothesis are:
H0: µ(d) = 0
Ha: µ(d) > 0
This is a right tailed test.
We are testing at the 1% level of significance. Our critical region is z > 2.325
If our test statistic is in this region, we will reject the null hypothesis
See attached photo for the calculation of the test statistic and conclusion of the test
The last two are correct: “If I know the measures of Angles C and B, I can find the angles of A and D.” and “If I know the measure of angle A, I can find the measure of angle D by subtracting from 180”
Hope that helps: )
That’s the answer to the question