|
About 77631 results. 1294 free access solutions
| № |
Condition |
free/or 0.5$ |
| m409 | Each of the possible five outcomes of a random experiment is equally likely. The sample space is {a, b, c, d, e}.
Let A denote the event {a, b}, and let B denote the event {c, d, e}. Determine the following:
(a) P (A) (b) P (B)
(c) P (A’) (d) P (A U B)
(e) P (A ∩ B) |
|
| m410 | Each of three machined parts is classified as either above or below the target specification for the part. |
|
| m411 | Each salesperson at Puchett, Sheets, and Hogan Insurance Agency is rated either below average, average, or above average with respect to sales ability. Each salesperson is also rated with respect to his or her potential for advancement—either fair, good, or excellent. These traits for the 500 salespeople were cross-classified into the following table.
.:.
a. What is this table called?
b. What is the probability a salesperson selected at random will have above average sales ability and excellent potential for advancement?
c. Construct a tree diagram showing all the probabilities, conditional probabilities, and joint probabilities. |
buy |
| m412 | Early in the basketball season, 12 college teams appeared to be outstanding. A panel of sportswriters and a panel of college basketball coaches were asked to rank the 12 teams. Their composite rankings were as follows.
Determine the correlation between the rankings of the coaches and the sportswriters. At the .05 significance level, can we conclude there is a positive correlation between therankings? |
buy |
| m413 | Early Morning Delivery Service guarantees delivery of small packages by 10:30 a.m. Of course, some of the packages are not delivered by 10:30 a.m. For a sample of 200 packages delivered each of the last 15 working days, the following numbers of packages were delivered after the deadline: 9, 14, 2, 13, 9, 5, 9, 3, 4, 3, 4, 3, 3, 8, and 4.
a. Determine the mean proportion of packages delivered after 10:30 a.m.
b. Determine the control limits for the proportion of packages delivered after 10:30 a.m. Were any of the sampled days out of control?
c. If 10 packages out of 200 in the sample were delivered after 10:30 a.m. today, is this sample within the control limits? |
buy |
| m414 | Ecommerce.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days.
Lead Time (days) Frequency
0 up to 5........... 6
5 up to 10.......... 7
10 up to 15.......... 12
15 up to 20........... 8
20 up to 25........... 7
Total............. 40
a. How many orders were studied?
b. What is the midpoint of the first class?
c. What are the coordinates of the first class for a frequency polygon?
d. Draw a histogram.
e. Draw a frequency polygon.
f. Interpret the lead times using the two charts. |
buy |
| m415 | Eight cavities in an injection-molding tool produce plastic connectors that fall into a common stream. A sample is chosen every several minutes. Assume that the samples are independent.
(a) What is the probability that five successive samples were all produced in cavity one of the mold?
(b) What is the probability that five successive samples were all produced in the same cavity of the mold?
(c) What is the probability that four out of five successive samples were produced in cavity one of the mold? |
|
| m416 | An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. The product operates only if there are no defective integrated circuits. What is the probability that the product operates? |
buy |
| m417 | An electronic scale that displays weights to the nearest pound is used to weigh packages. The display shows only five digits. Any weight greater than the display can indicate is shown as 99999. The random variable is the displayed weight. |
|
| m418 | An electronic scale in an automated filling operation stops the manufacturing line after three underweight packages are detected. Suppose that the probability of an underweight package is 0.001 and each fill is independent.
(a) What is the mean number of fills before the line is stopped?
(b) What is the standard deviation of the number of fills before the line is stopped? |
|
| m419 | Emily Smith decides to buy a fuel-efficient used car. Here are several vehicles she is considering, with the estimated cost to purchase and the age of the vehicle.
a. Plot these data on a scatter diagram with estimated cost as the dependent variable.
b. Find the correlation coefficient.
c. A regression analysis was performed and the resulting regression equation is Estimated Cost 5 18358 2 1534 Age. Interpret the meaning of the slope.
d. Estimate the cost of a five-year-old car.
e. Here is a portion of the regression software output. What does it tell you?
f. Using the .10 significance level, test the significance of the slope. Interpret the result. Is there a significant relationship between the twovariables? |
buy |
| m420 | An encryption-decryption system consists of three elements: encode, transmit, and decode. A faulty encode occurs in 0.5% of the messages processed, transmission errors occur in 1% of the messages, and a decode error occurs in 0.1% of the messages. Assume the errors are independent.
(a) What is the probability of a completely defect-free message?
(b) What is the probability of a message that has either an encode or a decode error? |
|
| m421 | Eric’s Cookie House sells chocolate chip cookies in shopping malls. Of concern is the number of chocolate chips in each cookie. Eric, the owner and president, would like to establish a control chart for the number of chocolate chips per cookie. He selects a sample of 15 cookies from today’s production and counts the number of chocolate chips in each. The results are as follows: 6, 8, 20, 12, 20, 19, 11, 23, 12, 14, 15, 16, 12, 13, and 12.
a. Determine the centerline and the control limits.
b. Develop a control chart and plot the number of chocolate chips per cookie.
c. Interpret the chart. Does it appear that the number of chocolate chips is out of control in any of the cookies sampled? |
buy |
| m422 | Errors in an experimental transmission channel are found when the transmission is checked by a certifier that detects missing pulses. The number of errors found in an eight bit byte is a random variable with the following distribution: |
|
| m423 | Estimate the mean and the standard deviation of the following frequency distribution.
Class Frequency
20 up to 30...... 7
30 up to 40...... 12
40 up to 50...... 21
50 up to 60...... 18
60 up to 70...... 12 |
buy |
| m424 | Estimate the mean and the standard deviation of the following frequency distribution.
Class Frequency
0 up to 5........ 2
5 up to 10........ 7
10 up to 15........ 12
15 up to 20........ 6
20 up to 25........ 3 |
buy |
| m427 | Every April, The Masters—one of the most prestigious golf tournaments on the PGA golf tour—is played in Augusta, Georgia. In 2013, 60 players received prize money. The 2013 winner, Adam Scott of Australia, earned a prize of $1,440,000. Miguel Cabrera finished in second place, earning $864,000. Jason Day finished in third place, earning $544,000. The data are briefly summarized below. Each player has three corresponding variables: finishing position or rank, score, and prize (in dollars). The complete file is in the data sets available on the text website, www.mhhe.com/lind16e, labeled as Ex13-36. We want to study the relationship between score and prize.
a. Using Score as the independent variable and Prize as the dependent variable, develop a scatter diagram. Does the relationship appear to be linear? Does it seem reasonable that as Score increases the Prize decreases?
b. What percentage of the variation in the dependent variable, Prize, is accounted for by the independent variable, Score?
c. Calculate a new variable, Log-Prize, computing the log to the base 10 of Prize. Draw a scatter diagram with Log-Prize as the dependent variable and Score as the independent variable.
d. Develop a regression equation and compute the coefficient of determination using Log-Prize as the dependent variable.
e. Compare the coefficient of determination in parts (b) and (d). What do you conclude?
f. Write out the regression equation developed in part (d). If a player shot a total of 2 |
buy |
| m428 | This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 2% of the components are identified as defective, and the components can be assumed to be independent.
(a) If the manufacturer stocks 100 components, what is the probability that the 100 orders can be filled without reordering components?
(b) If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
(c) If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components? |
buy |
| m429 | Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation has recently changed most of them to agree with the numbers on the mile markers along the highway.
a. What level of measurement were data on the consecutive exit numbers?
b. What level of measurement are data on the milepost numbers?
c. Discuss the advantages of the newer system. |
buy |
| m430 | Explain what is meant by this statement: “There is not just one normal probability distribution but a ‘family’ of them.” |
|
|
