Answer:
1) 2/3
2) 1/2
3) 4/5
4) 3/4
Step-by-step explanation:
4/6 can be divided by 2 to get 2/3 in its simplest
2/4 can be divided by 2 to get 1/2 in its simplest
12/15 can be divided by 3 to get 4/5 in its simplest
6/8 can be divided by 2 to get 3/4 in its simplest
Answer:
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Step-by-step explanation:
Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.
First six not defective, each with 0.98 probability.
7th defective, with 0.02 probability. So

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
Find the expected number and variance of the number of components tested before a defective component is found.
Inverse binomial distribution, with 
Expected number before 1 defective(n = 1). So

Variance is:

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
6.4 ounces.
You can get this by first converting to ounces which is a smaller value. Then you can divide by 10.
Rectangular prism and cuboid are same