Answer: The required probability is 0.25.
Step-by-step explanation:
Since we have given that
Radius of the dartboard = 4 in
Area of the dartboard is given by
Radius of the shaded region = 2 in
Area of shaded region is given by
So, the probability that the dart lands in the shaded circular region is given by
Hence, the required probability is 0.25.
Answer:
t Subscript alpha divided by 2 = 2.921
Step-by-step explanation:
With sample sizes lower than 30, we use the t-test.
Otherwise, we use the z-test.
Here, n = 17
So we use the t-test.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99(). So we have T = 2.921
So the correct answer is:
t Subscript alpha divided by 2 = 2.921