The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of nine syringes taken from the batch. Suppose the batch contains 1% defective syringes. (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, , 8 and 9 defective syringes in a random sample of nine syringes. (b) Find μ. What is the expected number of defective syringes the inspector will find? (c) What is the probability that the batch will be accepted? (d) Find σ. Step 1 (a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, , 8 and 9 defective syringes in a random sample of nine syringes. Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successes in a sequence of n trials, each of which yields success with probability p. Here we can let "success" be defined as "finding a defective syringe." The batch contains 1% defective syringes, so there is a 1% chance that any given syringe will be found to be defective. Therefore, p = 0.01 . A random sample of nine syringes are checked for quality, so n = 9
Step 2
We are interested in the probability of r defective syringes when r = 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Use this table to create a table of r values and the corresponding
P(r)
values when n = 9 and p = 0.01. (Round your answers to three decimal places.)
| r | P(r) |
| 0 | 0.914 |
| 1 | ? |
| 2 | ? |
| 3 | 0.000 |
| 4 | ? |
| 5 | 0.000 |
| 6 | 0.000 |
| 7 | 0.000 |
| 8 | 0.000 |
| 9 | 0.000 |
Please help find 1 ,2 and 4 in the map
In: Statistics and Probability
Suppose a firm's marginal product of capital and marginal product of labor schedules are as shown in the table below. The firm hires both capital and labor competitively for $4 and $8, respectively. Its output is sold in a competitive market for $.50 per unit.
|
Capital |
MP of Capital |
Labor |
MP of Labor |
|
0 |
0 |
||
|
1 |
10 |
1 |
28 |
|
2 |
9 |
2 |
30 |
|
3 |
8 |
3 |
24 |
|
4 |
7 |
4 |
20 |
|
5 |
6 |
5 |
16 |
|
6 |
5 |
6 |
12 |
|
7 |
4 |
7 |
8 |
|
8 |
3 |
8 |
4 |
In: Economics
Write a method sumTo that accepts an integer parameter n and returns the sum of the first n reciprocals.
In other words: sumTo(n) returns: 1 + 1/2 + 1/3 + 1/4 + ... + 1/n
For example, the call of sumTo(2) should return 1.5. The method should return 0.0 if passed the value 0 and should print an error message and return -1 if passed a value less than 0.
Include a loop.
Please help for Java programming.
In: Computer Science
|
Participant |
Hours of Exercise |
Life Satisfaction |
|
1 |
3 |
1 |
|
2 |
14 |
2 |
|
3 |
14 |
4 |
|
4 |
14 |
4 |
|
5 |
3 |
10 |
|
6 |
5 |
5 |
|
7 |
10 |
3 |
|
8 |
11 |
4 |
|
9 |
8 |
8 |
|
10 |
7 |
4 |
|
11 |
6 |
9 |
|
12 |
11 |
5 |
|
13 |
6 |
4 |
|
14 |
11 |
10 |
|
15 |
8 |
4 |
|
16 |
15 |
7 |
|
17 |
8 |
4 |
|
18 |
8 |
5 |
|
19 |
10 |
4 |
|
20 |
5 |
4 |
In: Statistics and Probability
Exercise 1: An Engineering company has a total of 100 employees. Out of 100; 4 employees have been in the company for 1 year 11 employees have been in the company for 2 years 19 employees have been in the company for 3 years 40 employees have been in the company for 4 years 20 employees have been in the company for 5 years 4 employees have been in the company for 6 years 1 employee has been in the company for 8 years 1 employee has been in the company for 10 years Find out the average employee tenure. In your opinion, is it a good average employee tenure?
In: Operations Management
1. Find the price of a three year, 7% coupon bond that is yielding 6%. The principal is 1000
2. Timco bonds are currently valued at 1015. They have 4 years until maturity and the coupon rate is 4%. What is the yield?
3. Last year Timco paid a 2 dividend. We think that next year they will pay a 2.26 dividend. What is Timco's capital gains yield?
In: Finance
You are given the following results from a sample of five observations. 4 6 3 4 3
a. Construct a 99% confidence interval for the population variance.
b. The null and alternative hypotheses are H0: σ2 ≥ 2 and Ha: σ2 < 2. Compute the test statistic.
c. Perform the test of the hypothesis at the 1% level.
d. What do you conclude about the population variance?
In: Statistics and Probability
One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a 3-credit course, a B in a 2-credit courses, a C in a 3-credit course, and a D in a 4-credit course?
3.20
2.33
3.02
2.89
In: Statistics and Probability
QUESTION 25
The nation's only legal drug enforcement agency is called the:
|
FTC |
||
|
CDC |
||
|
DEA |
||
|
FDA |
QUESTION 26
Certificates of registration for pharmacist licensure are granted in most states for a period of:
|
1 to 2 years |
||
|
2 to 3 years |
||
|
3 to 4 years |
||
|
4 to 5 years |
QUESTION 27
In the United States, drug legislation began in the:
|
1700s |
||
|
1800s |
||
|
1900s |
||
|
1950s |
In: Nursing
A random variable X is exponentially distributed with a
mean of 0.21.
a-1. What is the rate parameter λ?
(Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
(Round your answer to 2 decimal places.)
b. Compute P(X > 0.36).
(Round intermediate calculations to at least 4 decimal
places and final answer to 4 decimal places.)
In: Statistics and Probability