Bird Corporation has a 0.1 probability of a return of -0.23, a 0.1 probability of a rate of return of 0.07, and the remaining probability of a -0.10 rate of return. What is the variance in the expected rate of return of Bird Corporation?
In: Finance
home / study / math / statistics and probability / statistics and probability questions and answers / a survey found that women's heights are normally distributed with mean 62.3 in. and standard ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: A survey found that women's heights are normally distributed with mean 62.3 in. and standard dev... A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with a mean 67.7 in. and standard deviation 2.9. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 8 in. and a maximum of 6 ft 3 in. Find the percentage of women meeting the height requirement. The percentage of women who meet the height requirement is . Find the percentage of men meeting the height requirement. The percentage of men who meet the height requirement is c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements? The new height requirements are at least nothing in. and at most nothing in.
In: Math
home / study / math / statistics and probability / statistics and probability questions and answers / Two Machines Are Used For Filling Plastic Bottles With A Net Volume Of 16.0 Ounces. The Filling ...
Question: Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling p...
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Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling processes can be assumed to be normal. The quality engineering department is concerned that the second machine (Machine 2) is under filling the water bottles compared to the first machine (Machine 1). An experiment to address this concern is performed by taking a random sample from the output of each machine.
16.03
Machine 1
16.04 Machine 1
16.05 Machine 1
16.05 Machine 1
16.02 Machine 1
16.01 Machine 1
15.96 Machine 1
15.98 Machine 1
16.02 Machine 1
15.99 Machine 1
15.99 Machine 2
15.99 Machine 2
15.96 Machine 2
16 Machine 2
15.96 Machine 2
15.95 Machine 2
15.94 Machine 2
16.02 Machine 2
15.97 Machine 2
15.98 Machine 2
Q1
Compute the point estimate for the 95% confidence interval for the difference in mean volume of the bottles filled for Machine 1 versus Machine 2. (Round answer to 2 decimal places).
Q2
Using software or a statistical table, find the critical value for the 95% confidence interval for the difference in mean volume of the bottles filled for Machine 1 versus Machine 2. (Round answer to 2 decimal places).
Q3
Compute the standard error for the 95% confidence interval for the difference in mean volume of the bottles filled for Machine 1 versus Machine 2. (Round answer to 2 decimal places)
In: Math
home / study / math / statistics and probability / statistics and probability questions and answers / find the regression equation, letting the first variable be the predictor (x) variable. ...
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Question: Find the regression equation, letting the first variable be the predictor (x) variable. Using t...
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 27 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years?
Best Actress: 27, 31, 29, 59, 34, 32, 44, 28, 65, 21, 45, 54
Best Actor: 45, 39, 40, 43, 52, 50, 59, 52, 41, 56, 44, 33
a. Find the equation of the regression line.
b. The best predicted age of the best actor winner given that the age of the best actress winner that is 27 years is ___years old.
In: Math
home / study / math / statistics and probability / statistics and probability questions and answers / suppose that we fit model (1) to the n observations (y1, x11, x21), …, (yn, x1n, x2n). yi ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: Suppose that we fit Model (1) to the n observations (y1, x11, x21), …, (yn, x1n, x2n). yi = β0 + ... Suppose that we fit Model (1) to the n observations (y1, x11, x21), …, (yn, x1n, x2n). yi = β0 + β1x1i + β2x2i + εi , i = 1, …., n, (1) where ε’s are identically and independently distributed as a normal random variable with mean zero and variance σ2, i = 1, …, n , and all the x’s are fixed. a) Suppose that Model (1) is the true model. Show that at any observation yi , the point estimator of the mean response and its residual are two statistically independent normal random variables. b) Suppose the true model is Model (1), but we fit the data to the following Model (2) (that is, ignore the variable x2). yi = β 0 + β 1x1i + εi , i = 1, …., n. Assume that average of x1 =0, average of x2=0. The sum of x1i and x2i equals 0. Derive the least-squares estimator of β1 obtained from fitting Model (2). Is this least-squares estimator biased for β1 under Model (1)?
In: Math
Distinguish between probability and non-probability sampling, discuss their types with examples.
In: Operations Management
The probability that a telephony call will last t minutes can be approximated as -
Probability that call lasts less than t minutes =1 - e-t/a
Where e = Euler’s constant (2.71828) and a = average call duration
Using the above probability function, write a program in C that
a. takes the average call duration (a) from the user,
b. then accepts the call duration to find the probability for (t) and
c. then calculates and prints the probability that a call lasts less than t.
The program should repeat the sequence of operations a to c until the user enters a value of 0 for either variable a or t in the steps a or b above
In: Computer Science
home / study / math / statistics and probability / statistics and probability questions and answers / a physician wants to know if the number of male esophageal cancer patients diagnosed with multiple ...
Question: A physician wants to know if the number of male esophageal cancer patients diagnosed with multipl...
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A physician wants to know if the number of male esophageal cancer patients diagnosed with multiple primary tumors differs from the proportion of female esophageal cancer patients with the same diagnosis. She selects random samples of 60 male and 40 female esophageal cancer patients and records the number in each sample diagnosed with multiple primary tumors. 40 men and 10 women with multiple primary tumors are identified.
What is the null hypothesis for this study?
If the tabulated critical value of the chi-square statistic for the 5% level of significance is 3.84, what is the most appropriate conclusion that can be drawn from this study?
The proportion of male esophageal cancer patients diagnosed with multiple primary tumors differs from the proportion of female esophageal cancer patients diagnosed with such tumors (p<0.05).
The proportion of male esophageal cancer patients diagnosed with multiple primary tumors does not differ from the proportion of female esophageal cancer patients diagnosed with such tumors (p>0.05).
It is 95% certain that the proportion of male esophageal cancer patients diagnosed with multiple primary tumors equals the proportion of female esophageal cancer patients diagnosed with such tumors.
The investigator can be 95% certain that more men than women have esophageal cancer.
Which of the following statements is an accurate interpretation of the p-value associated with the study conclusion?
The observed difference in sample frequencies is likely to be due to random chance.
The probability of obtaining the given sample results by random chance is less than 5%.
The sample sizes are too small to detect a significant difference in frequency.
The investigator can be certain that the proportion of men diagnosed with multiple primary tumors differs from the proportion of women with the same diagnosis.
The proportion of male esophageal cancer patients with multiple primary tumors is greater than that of female esophageal cancer patients with such tumors.
An association exists between gender and the presence of multiple primary tumors.
The proportion of men with esophageal cancer differs from that of women esophageal cancer.
The proportion of male esophageal cancer patients diagnosed with multiple primary tumors does not differ from that of female esophageal cancer patients diagnosed with multiple primary tumors.
The calculated value of the test statistic is:
0.65
16.67
14.04
0.72
In: Math
1.
|
(Use Computer) Let X represent a binomial random variable with n = 400 and p = 0.8. Find the following probabilities. (Round your final answers to 4 decimal places.) |
| Probability | |
| a. P(X ≤ 330) | |
| b. P(X > 340) | |
| c. P(335 ≤ X ≤ 345) | |
| d. P(X = 300) | |
2.
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(Use computer) Suppose 38% of recent college graduates plan on pursuing a graduate degree. Twenty three recent college graduates are randomly selected. |
| a. |
What is the probability that no more than five of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.) |
| b. |
What is the probability that exactly nine of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.) |
| c. |
What is the probability that at least nine but no more than twelve of the college graduates plan to pursue a graduate degree? (Round your final answer to 4 decimal places.) |
3.
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Let the mean success rate of a Poisson process be 7 successes per hour. |
| a. | Find the expected number of successes in a 27 minutes period. (Round your final answer to 1 decimal place.) |
| b. |
Find the probability of at least 2 successes in a given 27 minutes period. (Round your answer to 4 decimal places.) |
| c. | Find the expected number of successes in a two hours 6 minutes period. (Round your final answer to 1 decimal place.) |
| d. |
Find the probability of 14 successes in a given two hours 6 minutes period. (Round your answer to 4 decimal places.) |
4.
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(Use computer) Assume that X is a Poisson random variable with μ = 28. Calculate the following probabilities. (Round your final answers to 4 decimal places.) |
| a. P(X ≤ 18) | |
| b. P(X = 20) | |
| c. P(X > 22) | |
| d. P(24 ≤ X ≤ 32) | |
In: Statistics and Probability
Two friends are having a race. The course that they are racing is 500 m long. Jurgen travels the first half (250 m) of the race at a constant speed of 4 m/s, then instantly increases his speed to 6 m/s and completes the second half of the race at this speed. Sven travels at 5 m/s for 475 m, then accelerates at a rate of 2 m/s2 , until he crosses the finish line. Who wins the race? What is the time interval that separates the racers?
In: Physics