A. If a control is assayed 450 times, how many results will most likely fall outside...
A. If a control is assayed 450 times, how many results will most likely fall outside ± 3 standard deviations from the mean?
B. What is the probability that 4 consecutive control results will fall on the same side of the mean? Hint: multiply the probabilities of each individual occurrence
Homework Answers
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A. If a control is assayed 450 times, how many results will most
likely fall outside...
A control chart is used for monitoring a process meanl (X) that is normally distributed with a mean of μ and a standard...
A control chart is used for monitoring a process meanl (X) that is normally distributed with a mean of μ and a standard deviation of σχ , and the sample size is n-5. А 3-sigma limit (μ ±30% ) is used as control limits. Two decision rules are given here. Rule 1: If one or more of the next seven samples yield values of the sample average that fall outside the control limits, conclude that the process is out of...
A control chart is used for monitoring a process mean ( 7 ) that is normally...
A control chart is used for monitoring a process mean ( 7 ) that is normally distributed with a mean of u and a standard deviation of o, and the sample size is n = 5. A 3-sigma limit (u +30z) is used as control limits. Two decision rules are given here. Rule 1: If one or more of the next seven samples yield values of the sample average that fall outside the control limits, conclude that the process is...
1. Twenty-five student were asked the question "How many times per week do you eat chips?...
1. Twenty-five student were asked the question "How many times per week do you eat chips? The following results were found: # of Times 0 8 4 Construct a Probability Distribution for the random variable x, where x is the number of times per week a student eats chips. A) B) Find the probability someone eats chips at most 2 times per week. C) Find the probability someone eats chips more than 3 times per week. D) Find the probability...
People at a shopping mall were asked how many times they went to the movies in...
People at a shopping mall were asked how many times they went to the movies in the last month. The results are listed in the table below. Use that information for parts a and b. х 0 1 P(x) 0.453 0.102 0.239 0.071 0.249 2 3 4 a. Does the table represent a probability distribution? (2 points) A. Yes B. No b. If "yes", give the mean (1) and standard deviation (o), if "no", give at least one requirement that...
TIMES (days) Activity Start Node Finish Node OPTIMISTIC to MOST LIKELY tm PESSIMISTIC tp A 1...
TIMES (days)
Activity
Start Node
Finish Node
OPTIMISTIC
to
MOST LIKELY
tm
PESSIMISTIC
tp
A
1
2
24
30
42
B
1
3
20
23
32
C
2
5
15
27
39
D
3
4
25
43
61
E
4
5
15
42
69
Given the Activity on Arrow Diagram and the data found in the table
above, calculate each of the following values:
Activity A………te = 31
Standard Deviation = 3
Activity B………te =
Standard Deviation =
Activity C………te...
Problem#2 please B: What is the most likely outcome for d? C: What is the expectation...
Problem#2 please
B: What is the most likely outcome for d? C: What is the expectation value for d? D: Calculate (d2) and (d)2 E: Using your answers to C, calculate the standard deviation of d via Eq 1.12 in the book. F: Calculate Δd for each possible outcome. From these values, calculate the standard deviation via Eq. in the book. (This should be the same as D). 2 Gaussian probability distributions Consider the following probability density: ρ(x)-Ce-(z-zo) where ro...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e....
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
10.1 A. Calculate the mean and standard deviation of the following securities’ returns: Year Computroids Inc....
10.1 A. Calculate the mean and standard deviation of the following securities’ returns: Year Computroids Inc. Blazers Inc. 1 10% 5% 2 5% 6% 3 –3% 7% 4 12% 8% 5 10% 9% B. Assuming these observations are drawn from a normally distributed probability space, we know that about 68% of values drawn from a normal distribution are within one standard deviation away from the mean or expected return; about 95% of the values are within two standard deviations; and...
Applied and Computational Questions 1. Pairs of random numbers (r, y) a. How many different pairs...
Applied and Computational Questions 1. Pairs of random numbers (r, y) a. How many different pairs are possible? are generated. X and Y are integers between 0 and 5 inclusive. a random variable W is defined to equal the absolute value of the difference between X b. Suppose and Y. How many distinct values are possible for W? Give the pair of dice is rolled once. 2. Let x represent the number of times a one appears when a probability...
1.Students drink for many reasons. Which of these reasons is most likely to result in negative...
1.Students drink for many reasons. Which of these reasons is most likely to result in negative consequences? Select one: A.To help me enjoy a party B. To fit in with the group C. To feel the “buzz” D. To cope with negative emotions 2. Which of these is considered a “standard drink?” Select one: A. A solo cup of beer B. A large glass of wine C. Two shots of liquor D. A can of beer 3.What does it mean...
A control chart is used for monitoring a process meanl (X) that is normally distributed with a mean of μ and a standard deviation of σχ , and the sample size is n-5. А 3-sigma limit (μ ±30% ) is used as control limits. Two decision rules are given here. Rule 1: If one or more of the next seven samples yield values of the sample average that fall outside the control limits, conclude that the process is out of...
A control chart is used for monitoring a process mean ( 7 ) that is normally distributed with a mean of u and a standard deviation of o, and the sample size is n = 5. A 3-sigma limit (u +30z) is used as control limits. Two decision rules are given here. Rule 1: If one or more of the next seven samples yield values of the sample average that fall outside the control limits, conclude that the process is...
1. Twenty-five student were asked the question "How many times per week do you eat chips? The following results were found: # of Times 0 8 4 Construct a Probability Distribution for the random variable x, where x is the number of times per week a student eats chips. A) B) Find the probability someone eats chips at most 2 times per week. C) Find the probability someone eats chips more than 3 times per week. D) Find the probability...
People at a shopping mall were asked how many times they went to the movies in the last month. The results are listed in the table below. Use that information for parts a and b. х 0 1 P(x) 0.453 0.102 0.239 0.071 0.249 2 3 4 a. Does the table represent a probability distribution? (2 points) A. Yes B. No b. If "yes", give the mean (1) and standard deviation (o), if "no", give at least one requirement that...
TIMES (days)
Activity
Start Node
Finish Node
OPTIMISTIC
to
MOST LIKELY
tm
PESSIMISTIC
tp
A
1
2
24
30
42
B
1
3
20
23
32
C
2
5
15
27
39
D
3
4
25
43
61
E
4
5
15
42
69
Given the Activity on Arrow Diagram and the data found in the table
above, calculate each of the following values:
Activity A………te = 31
Standard Deviation = 3
Activity B………te =
Standard Deviation =
Activity C………te...
Problem#2 please
B: What is the most likely outcome for d? C: What is the expectation value for d? D: Calculate (d2) and (d)2 E: Using your answers to C, calculate the standard deviation of d via Eq 1.12 in the book. F: Calculate Δd for each possible outcome. From these values, calculate the standard deviation via Eq. in the book. (This should be the same as D). 2 Gaussian probability distributions Consider the following probability density: ρ(x)-Ce-(z-zo) where ro...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
Applied and Computational Questions 1. Pairs of random numbers (r, y) a. How many different pairs are possible? are generated. X and Y are integers between 0 and 5 inclusive. a random variable W is defined to equal the absolute value of the difference between X b. Suppose and Y. How many distinct values are possible for W? Give the pair of dice is rolled once. 2. Let x represent the number of times a one appears when a probability...
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