Question

In: Statistics and Probability

Show all of your work. No credit will be given if there is no work. Simplify...

Show all of your work. No credit will be given if there is no work. Simplify if possible, unless noted.

Setup:

• Suppose the probability of a part being manufactured by Machine A is 0.4

• Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.12

• Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.14

Questions To Answer: 1. (2 pts) Find the probability that a part is defective given that it was made by Machine A.

2. (2 pts) Find the probability that a part is defective.

3. (4 pts) Are the states of a part being made by Machine A and being defective independent? Circle your answer and state your reason. YES, they are independent NO, they are NOT independent Reason:

4. (2 pts) Find the probability that Machine A produced a specific part, given that the part was defective. Round your final answer to 2 decimals, if needed.

Expert Solution

a)

It is given that

the probability of a part being manufactured by Machine A is 0.4

Let us consider it as P(A)=0.4

using the sum of probabilities we will find the probability of part not being manufactured by machine A which is taken as

the probability that a part was manufactured by Machine A and the part is defective is 0.12

probability that a part was NOT manufactured by Machine A and the part is defective is 0.14

We have to determine the probability that a part is defective given that it was made by Machine A.

That will be P(D/A)

Use the conditional probability formula

2)

We have to find the probability that part is defective

Probability that part is defective is 0.132

3)

We have to check weather part manufactured by machine A and being defective are independent or not.

For independent it should follow the rule of probability

P(D and A)=P(D).P(A)=P(D/A).P(A)

P(D and A)=0.12

P(D)=0.132

P(D/A)=0.3

Here

P(A)=0.4

So part being defective and produced by machine A are not independent of each other

d)

We have to find that machine A produces specific part and it is given that being defective

We have to find that

orchestra answered 1 year ago

Show all of your work in the space provided. Show all of your work to get...

Show all of your work in the space provided. Show all of your work to get full credit. All answers have to be in SI units(20 pints for each questions). 2.Following are the two sets of position and time data collected using a motion sensor and cart. Table 1. table 2 Time (s) Position (m) V(instantaneous) (m/s) 0 10.0 0.25 13.0 0.50 16.5 0.75 21.0 1.00 26.5 1.25 32.3 1.50 38.0 1.75 44.5 2.00 52.0 2.25 60.0 2.50 68.5...

Show all work in the space provided. All work must be shown to obtain full credit....

Show all work in the space provided. All work must be shown to obtain full credit. If a calculator function was used, list exactly what was entered into the calculator. All z-score calculations must be shown. 1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion...

Show all work for credit. Be sure to label work and use sentences as appropriate to...

Show all work for credit. Be sure to label work and use sentences as appropriate to explain what steps you are taking. Be sure to clearly label any steps, results, or conclusions. Mention every single step you do. For the following function f(x) = 2x-5/x+1 Find : (a) (5 points) Find the domain (in interval notation). (b) (5 points)Find any Vertical asymptotes or holes. Provide a written explanation why you are choosing Vertical asymptote or hole. (c) (5 points)Find any...

fill in the missing information: Must show all your work to receive credit. Case A Case...

fill in the missing information: Must show all your work to receive credit. Case A Case B Case C Units Produced 1,000 1,500 800 Standard hours per unit 3.5 ? 3 Standard hours for production ? ? ? Standard rate per hour $7.25 $7.00 $7.00 Actual hours worked 3,400 4,900 2,330 Actual total labor cost ? $31,850 ? Labor price variance $850 F ? $466 F Labor usage variance ? $2,800 U ? Please show work for how each missing...

Show all your work Show all your work 3. Sales discount- allocate the following transactions into...

Show all your work Show all your work 3. Sales discount- allocate the following transactions into the correct part of the accounting equation and their correct T account a. Brown Company sold merchandise on account to Black Company $32,456 b. Black Company returned $10,121 worth of merchandise (account was credited) C. Brown Company received a check from Black Company less the returns with an 8% discount of 15/30 4. Purchase discount- allocate the following transactions into the correct part of...

Instructions: Show all your work to get partial credit. Answers without any work-even correct-will not receive...

Instructions: Show all your work to get partial credit. Answers without any work-even correct-will not receive any credit. Good Luck! A firm is considering investing in a new project. According to its cost of capital while using debt, preferred stock and new common stock, the project is expected to have an initial after-tax cost of $5,000,000. Furthermore, the project is expected to provide after-tax operating cash flows of $1,800,000 in year 1, $2,900,000 in year 2, $2,700,000 in year 3...

Please read carefully. You must show all of your work for full credit. A correct answer...

Please read carefully. You must show all of your work for full credit. A correct answer with no work shown is worth no points, but an incorrect or partial answer with some work shown may be worth partial credit. Include explanations in each step. Correct format for writing answers (using symbols and letters). Question: What is the probability that fewer than 120 agreed? Answer: P (x < 120) I. An orange juice producer buys oranges from a large orange grove...

answer all or do not answer SHOW ALL WORK FOR COMPUTATIONAL PROBLEMS OR NO CREDIT (write...

answer all or do not answer SHOW ALL WORK FOR COMPUTATIONAL PROBLEMS OR NO CREDIT (write out the equation and solution) 1. Determine the number of significant figures for the following: A) 4778526 B) 0.075 C) 850 D) 14268.5 E) 25.8 x 105 F) 3310 x 10-1 2) Convert the following into scientific notation: A) 0.004288 B) 4200 C) 363000000 D) 0.00000363 Please use these conversion for the following problems : 1mi = 1609 m 3.79 L = 1.00 gal ...

Show all of your work. Assets &nb

Show all of your work. Assets Liabilities and Owner’s Equity A/P $60,000 LT Debt 100,000 Total Debt 160,000 CS, par 2,000 PIC 50,000 R/E 50,000 Total Equity $102,000 Total Liabilities and Owners Equity $262,000 Cash $1,000 A/R 6,500 Inventory 62,500 Prepaids 12,000 Fixed Assets 250,000 Accum Depreciation (70,000) Total Assets $262,000 Sales $800,000 COGS 370.000 Gross Profit 430,000 Operating Exp. -170,000 Depreciation -10,000 EBIT 250,000 Interest -10,000 EBT 240,000 Taxes -80,000 Net Income $160,000 Prepare a financial analysis of...

Please show all work to receive credit for the calculation question. Godfrey is an artist that...

Please show all work to receive credit for the calculation question. Godfrey is an artist that paints live portraits for people. If he changed the price of a portrait from $30 to $36 and quantity demanded by customers changed from 300/month to 270/month, What is the price elasticity of demand (e) for his product? Is demand for his product price elastic or price inelastic? Give the criteria used for your conclusion. At what new price (from the original price of...