Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1160142: A card is randomly drawn from a shuffled deck of cards and NOT REPLACED. A second card is drawn from the remaining shuffled cards. What is the approximate probability that both cards are RED?
I've already attempted this assignment twice, and it's not 24.5% or 25%.
Please help! I only have one attempt left.
A. 24.5%
B. 25%
C. 49%
D. 50%
Click here to see answer by Boreal(15235)   |
Question 1160049: Task 21. Two auditors check the accounts of the company. Each randomly selected 8 accounts. It is known that the probability of an erroneous account among company accounts is 0.05. What is the likelihood that: a. each auditor finds at least one erroneous account; b. will at least one erroneous account be detected?
Click here to see answer by Boreal(15235) |
Question 1160041: ow many 7-digit telephone numbers are possible if the first digit cannot be six and
(a) only even digits may be used?
(b) the number must be a multiple of 10 (that is, it must end in 0)?
(c) the number must be a multiple of 1 comma 000?
(d) the first 3 digits are 192?
(e) no repetitions are allowed?
Click here to see answer by Boreal(15235) |
Question 1160043: Based on interviews with 88 SARS patients, researchers found that the mean incubation period was 4.9 days, with a standard deviation of 15.7 days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.
Click here to see answer by Boreal(15235) |
Question 1160138: A card is randomly drawn from a shuffled deck of cards and NOT REPLACED. A second card is drawn from the remaining shuffled cards. What is the approximate probability that both cards are RED?
I've already attempted this assignment twice, and it's not 24.5% or 25%.
A. 24.5%
B. 25%
C. 49%
D. 50%
Click here to see answer by ikleyn(52748)  |
Question 1160138: A card is randomly drawn from a shuffled deck of cards and NOT REPLACED. A second card is drawn from the remaining shuffled cards. What is the approximate probability that both cards are RED?
I've already attempted this assignment twice, and it's not 24.5% or 25%.
A. 24.5%
B. 25%
C. 49%
D. 50%
Click here to see answer by Alan3354(69443)  |
Question 1160128: In Chances: Risks and Odds in Everyday Life, James Burke claims that about 70% of all single men would welcome a woman taking the initiative in asking for a date. If 20 men are surveyed, what is the probability that:
a) at least 18 of the men will say yes?
b) fewer than 3 of the men will say yes?
c) none of the men will say yes?
d) at least 5 of the men will say no?
Click here to see answer by ikleyn(52748) |
Question 1160160: 8.
A local children's center has 53 children enrolled, and 6 are selected to take a picture for the center's advertisement. Suppose you want to calculate the number of ways to select the 6 children for the picture. Would you use a combination or a permutation?
Click here to see answer by Boreal(15235) |
Question 1160159: 7.
There are 19 students in an Math 111 class at Schoolcraft. Suppose you wanted to determine how many ways there are to select 5 students for a group project. Would you use a combination or a permutation?
Click here to see answer by Boreal(15235) |
Question 1160157: There are 46 runners in a race, and no ties. Suppose you wanted to calculate how many ways can the first three finishers be chosen from the 46 runners, regardless of how they are arranged. Would you use a combination or a permutation?
Click here to see answer by ikleyn(52748) |
Question 1159160: A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 50 seconds. Between what times do we expect most (approximately 95%) of the boys to run the mile?
Click here to see answer by Boreal(15235) |
Question 1159159: Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 6.4. If 25 people are randomly selected, find the probability that their mean blood pressure will be less than 126.
Click here to see answer by Boreal(15235) |
Question 1159158: A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 40 seconds. Find the probability that a randomly selected boy in secondary school will take longer than 541 seconds to run the mile.
Click here to see answer by Boreal(15235) |
Question 1159161: Lucy Lui purchased a mailing list of 2000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are not authentic, and x is the number of non-authentic names in her sample, P(x<2) is ______________.
Click here to see answer by Boreal(15235) |
Question 1159163: A manufacturer claims that the mean lifetime of lithium batteries is more than 1400 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1580 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.05. Assume the distribution is normal. Use the Confidence Interval method. Exact value of the standard deviation is not known.
Click here to see answer by Boreal(15235) |
Question 1159194: Ambulance service 1122 authority in Punjab claims that average speed of emergency response is less than 20 minutes. There is no past record so that the actual standard deviation of study response times cannot be determined. The response times for selected 10 days are 16, 20, 18,19,15,18,22,25,14 and 13 minutes. Test claim of the authority.
Click here to see answer by Boreal(15235) |
Question 1160048: To make decisions on the purchase of securities, a market analysis system was developed. From past data it is known that 5% of the market are “bad” securities - unsuitable objects for investment. The proposed system identifies 98% of “bad” securities as potentially “bad”, but also defines 15% of eligible investments as potentially “bad”. Given that a security has been identified as potentially “bad”, what is the likelihood that the security is actually “bad”? Comment on the suitability of the system for making investment decisions.
Click here to see answer by ikleyn(52748) |
Question 1160219: Of the people who fished at Clearwater Park today, 63 had a fishing license, and 27 did not. Of the people who fished at Mountain View Park today, 40 had a license, and 40 did not. (No one fished at both parks.)
Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater 40did not have a license and the fisher chosen from Mountain View had a license?
Do not round your answer. (If necessary, consult a list of formulas.)
Click here to see answer by ikleyn(52748) |
Question 1160218: Of the people who fished at Clearwater Park today, had a fishing license, and did not. Of the people who fished at Mountain View Park today, had a license, and did not. (No one fished at both parks.)
Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license?
Do not round your answer. (If necessary, consult a list of formulas.)
Click here to see answer by ikleyn(52748) |
Question 1160213: A coin is flipped 3 times. If you get no tail you win nothing, tails once you get $5, tails
twice you get $15, and tails on all three flips you get $40.
a. List the probability distribution of the amount you win
b. What is the expected amount of money you will get?
Click here to see answer by greenestamps(13195)  |
Question 1160213: A coin is flipped 3 times. If you get no tail you win nothing, tails once you get $5, tails
twice you get $15, and tails on all three flips you get $40.
a. List the probability distribution of the amount you win
b. What is the expected amount of money you will get?
Click here to see answer by saw(34) |
Question 1160215: Urgent Help Needed
Below is given the summary from the 112th Congress of Senators whose terms end in 2013, 2015, or 2017.
2013 2015 2017
Democrat 21 20 1
Republican 8 15 13
Choose one of these Senators at random and find
a) P(Democrat and term expires in 2015)
b) P(Republican or term expires in 2013)
c) P(Republican given term expires in 2017)
d) Are the events “Republican” and “term expires in 2015” independent? Explain.
Click here to see answer by Theo(13342)  |
Question 1160227: 1. A quality control engineer tests the quality of produced computers. Suppose that 5% of computers have defects, and defects occur independently of each other.
(i). Find the probability of exactly 3 defective computers in a shipment of twenty. Ans: 0.0596 (ii). Find the probability of at most 2 defective computers in a shipment of twenty. Ans: 0.9245
(iii). Find the probability that least 2 defective computers in a shipment of twenty. Ans: 0.2642
(iv). Find mean number of defective computers and its standard deviation in a shipment of twenty. Ans: 𝜇 = 1, 𝜎 = 0.975
Click here to see answer by Boreal(15235) |
Question 1160225: Records of a company show that 15% of the employees have only a high school diploma (H), 75% have bachelor degrees (B), and 10% have graduate degrees (G). Of those with only a high school diploma, 12% hold management positions; whereas, of those having bachelor degrees, 58% hold management positions. Finally, 82% of the employees who have graduate degrees hold management positions.
a. What is the probability that an employee holds a management position and has a graduate degree?
b. What is the probability that an employee holds a management position?
c. What is the probability that an employee holds a management position or has a graduate degree?
d. Given that a person holds a management position, what is the probability that she/he has a graduate degree?
Click here to see answer by Boreal(15235) |
Question 1160214: 32 % of beach goers end up with some form of sunburn on any given day.
i. Find the standard deviation of a survey of 75 beach goers.
ii. What is the probability that one third of them end up with some form of sunburn
Click here to see answer by Boreal(15235) |
Question 1160207: A random sample of 15 teachers from Rhode Island has an average salary of $35,270, with a standard deviation of $3256. A random sample of 30 teachers from New York has an average salary of $29,512, with a standard deviation of $1432. Is there a significant difference in teachers’ salaries between the two states? Use α=0.02. Find the 98% confidence interval for the difference of the two means.
Click here to see answer by Boreal(15235) |
Question 1160246: The accompanying Venn diagram illustrates a sample space containing six sample points and three events, A, B, and C. The probabilities of the sample points are P(1) = 0.3, P(2) = 0.2, P(3) = 0.1, P(4) = 0.1, P(5) = 0.1 and P(6) = 0.2.
Find:
a) P(A)
b) P(B A)
c) P( A B C)
d) P(C^c )
e) P( A Cc )
e) P(B / A)
f) Are A and C mutually exclusive? Why?
Click here to see answer by ikleyn(52748) |
Question 1160252: A lab network consisting of 20 computers was attacked by a computer virus. This virus enters each computer with probability 0.4, independently of other computers. Find the probability that it entered at least one computer. Ans: 0.99996
Click here to see answer by solver91311(24713)  |
Question 1160252: A lab network consisting of 20 computers was attacked by a computer virus. This virus enters each computer with probability 0.4, independently of other computers. Find the probability that it entered at least one computer. Ans: 0.99996
Click here to see answer by Theo(13342) |
Question 1159829: From a shuffled standard deck of cards, 8 cards are dealt to a player. Let
A= event that exactly 3 cards are red
B= event that exactly 3 cards are face cards (K, Q, J)
C= event that exactly 5 cards are spades
Determine the following probabilities:
a. P(A)
b. P(B)
c. P(C)
d. P(AB) (Hint: Express the events as a union of mutually exclusive events, each event
describing how many red face cards, black face cards, red non-face cards, black nonface cards)
e. P(AC)
f. P(BC)
g. P(ABC)
h. P(A∪B∪C)
Click here to see answer by VFBundy(438)  |
Question 1160264: Suppose SAT Writing scores are normally distributed with a mean of 497 and a standard deviation of 109. A university plans to award scholarships to students whose scores are in the top 8%. What is the minimum score required for the scholarship? Round your answer to the nearest whole number, if necessary.
Answer
Click here to see answer by Boreal(15235) |
Question 1160261: An exciting computer game is released. Some of the players who complete all the levels will buy an advanced version of the game. Suppose that 25% of the players buy an advanced version. In a group of 15 players,
i. what is the expected number of people who will buy the advanced version?[Ans. 3.75]
ii. What is the probability that at least two people will buy it?[Ans. 0.237]
Click here to see answer by Boreal(15235) |
Question 1160247: 135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
Less than 5hrs (5 to10hrs) (More than 10) Total
Male (M) 25 25 20 70
Fmale (F) 20 30 15 65
Total 45 55 35 135
a) Complete the joint and marginal probability.
b) Find the probability that a student studied 5 to 10 hours.
c) Find the probability that a student is a male and spends less than 5 hours studying.
d) Find the probability that a student is a female or spends more than 10 hours studying.
e) Find the probability that a student spends more than 10 hours studying given that the student is a female?
f) Find the probability that a student is a male given that he spends less than 5 hours studying.
Click here to see answer by Boreal(15235) |
Question 1160302: The probability of catching a certain disease in a village is 2/5. If 6 persons are taken at random from the village. What is the probability that (a) Only 3 people have the disease (b) almost 2 people have the disease
(C) at least 4 people have the disease (d) almost 1 person has the disease (e) at least 1 person has the disease
Click here to see answer by Boreal(15235) |
Question 1160302: The probability of catching a certain disease in a village is 2/5. If 6 persons are taken at random from the village. What is the probability that (a) Only 3 people have the disease (b) almost 2 people have the disease
(C) at least 4 people have the disease (d) almost 1 person has the disease (e) at least 1 person has the disease
Click here to see answer by ikleyn(52748) |
Question 1160306: i need your help this is statics questions
1.A restaurant tells its customers that the average cost of a dinner there is birr 92 with a standard deviation of birr8.5. a group of concerned customers thinks that the average cost is higher. In order to test the restaurants claim, 100 customers purchase a dinner at the store and find the mean price is birr92.80. Perform a hypothesis test at 0.05 significance level and state the decision.
2You fit a regression line to data that measures the dependent variable weight, on an independent variable, calories eaten. The line is as follows: y= 145+0.005x.
1.Interpret the slope of the line
2.Interpret the intercept of the line. Does the intercept interpretation make sense in this problem?
3.A95% confidence interval for a population mean was reported to be 152 to 160. If σ 2 15, what sample size was used in this study?
4.A researcher reports survey results by stating that the standard error of the mean is 20. The population standard deviation is 500.
a. How large was the sample used in this survey?
b. What is the probability that the point estimate was within 25 of the population mean?
5.In an effort to estimate the mean amount spent per customer for dinner at an Koket restaurant, data were collected for a sample of 49 customers. The data collected are shown in the CD file named Restaurant. Based upon past studies the population standard deviation is assumed known with σ 2 birr55.
a. At 95% confidence, what is the margin of error?
thanks more for your help.
Click here to see answer by Boreal(15235) |
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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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