Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1168531: A company has a total of 596 male employees. Of them, 117 are single, 293 are married, 140 are either divorced or separated, and 46 are widowers. If management selects one male employee at random from the company, the probability (rounded to three decimal places) that this employee is married or a widower is:
Click here to see answer by ikleyn(52765)   |
Question 1168531: A company has a total of 596 male employees. Of them, 117 are single, 293 are married, 140 are either divorced or separated, and 46 are widowers. If management selects one male employee at random from the company, the probability (rounded to three decimal places) that this employee is married or a widower is:
Click here to see answer by kkth19(1)  |
Question 1168535: Assume that only 31% of music files downloaded from Web sites in 2009 were paid for. Suppose that this percentage holds true for such files downloaded this year. Three downloaded music files are selected at random.
(a) What is the probability that all three were paid for?
(b) What is the probability that none were paid for? Assume independence of events.
* I'm confused about how to even start this problem :(
Click here to see answer by ikleyn(52765) |
Question 1168537: Given the table.
......|Yes. | No. | Maybe.
Male: 0.077 | 0.139 | 0.337
Female:0.173 | 0.139 | 0.135
What is the probability that a randomly selected person is Male who will answer "Yes" or "No"?
Would it be like P(M|YorN)= P(M) + P(YorN) - P(M/YorN)
Click here to see answer by ikleyn(52765) |
Question 1168582: 6. All else being equal, as the sample size increases, the width of a 95% Confidence
Interval…
a. …decreases.
b. …increases.
c. …remains the same
I got A am I correct?
7. A research study with a total sample size of 2,500 individuals will have more
Power than one with a sample size of 750 individuals.
a. TRUE
b. FALSE
I got A am I correct?
8. What is the lower bound of the 95% confidence interval for the data listed below?
n = 1,225 Sample mean = 42
Population standard deviation = 12 zcrit = +/- 1.96
a. 12.000
b. 41.328
c. 42.000
d. 42.019
e. 42.672
I got B am I correct?
9. Researchers had access to population data about the number of prior arrests for offenders facing prison time in Nevada. Those data included the following: mean number of prior arrests = 4, and standard deviation = 1.5.
A group of researchers in California wanted to examine whether or not our
offenders are similar to or different than Nevada’s prisoners. However, the
researchers were only able to get access to a sample of offenders facing prison time. The sample information included the following: mean number of prior arrests = 6, and sample size = 225.
The researchers in California decided to conduct a Z-test for One Sample Mean to examine potential differences in prior arrests between the two states.
The value of the observed z-statistic for the hypothesis test equals…
a. … 1.18.
b. … 2.00.
c. … -1.18.
d. … -2.00.
e. … 20.00.
I got E am I correct?
10. From the results of the hypothesis test (assuming α = .05), the researchers
would…
a. … fail to reject Ho
b. … reject Ho
I got B am I correct?
Click here to see answer by Theo(13342)  |
Question 1168612: Suppose that we have a sample space S {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ..., E7 denote the sample points. The following probability assignments apply:
P(E1) = 0.05, P(E2) = 0.20, P(E3) = 0.20, P(E4) = 0.25, P(E5) = 0.15, P(E6) = 0.10, and P(E7) = 0.05.
Assume the following events when answering the questions.
Suppose that we have a sample space S {E1, E2, E3,
Find P(A), P(B), and P(C).
P(A)=
P(B)=
P(C)=
What is  ?
What is  P(A (upside down "U")B?
Are events A and C mutually exclusive?
What is (B)c?.
Click here to see answer by ikleyn(52765) |
Question 1168624: 1. You are creating a 4-digit password using only the 26 letters from the alphabet. How many unique passwords could you create (assuming the password does not need to spell a real word!)?
2. What are non-distinct objects?
3. Landscape workers are re-developing a popular street. They are planting 12 maple trees, 6 oak trees, and 6 poplar trees. How many distinct ways can they plant these trees?
4.Two people out of a group of 75 will win tickets to an upcoming concert. How many different groups of two are possible?
5. Barry is hosting a Super Bowl party and offers 7 different kinds of chip dip. If a partygoer can choose any number of chip dips for their chips, how many chip dip combinations are possible?
Click here to see answer by ikleyn(52765) |
Question 1168608: A data set includes 109 body temperatures of healthy adult humans having a mean of 98.3 F and a standard deviation of 0.54 F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6F as the mean body temperature?
Need to find
f < u< f
Click here to see answer by Theo(13342) |
Question 1168670: A medical researcher wants to investigate the amount of times it takes for patients’ headache pain to be relived after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 23 minutes. How large a sample should she take to estimate the mean time to within 3 minutes with 99% confidence?
Click here to see answer by Boreal(15235)  |
Question 1168654: HELLO! i am looking for help solving and understanding the process of getting to an answer with this problem.
You are studying the emerald ash borer and you want to determine the percentage of northern hardwood stands that have evidence of the emerald ash borer. How many stands must you sample in order to be 90% confident that your estimate is within 7 percentage points of the true population percentage? Research from 2 years ago gives a sample proportion of 63%.
Thank you in advance. I look forward to learning.
Click here to see answer by Boreal(15235) |
Question 1168638: One urn contains one black ball and one gold ball . A second urn contains one white and one gold ball . one ball is selected at random from each urn. a Exhibit a sample space for this experiment. b Exhibit the event space. c What is the probability that both balls will be of the same color? d What is the probability that one ball will be green ?
Click here to see answer by Boreal(15235) |
Question 1168613: You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:
42.4
66.6
89
62.3
41.4
65.8
Find the 98% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
Click here to see answer by Boreal(15235) |
Question 1168625: When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is 1/2
, the probability of having a girl is 1/2
, and this is not affected by how many boys or girls have previously been born.
I have no clue how or what to do here.
Click here to see answer by Boreal(15235) |
Question 1168607: Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct 95% confidence interval estimate of the population standard deviation.
62,63,63,56,63,52,61,60,61,69,60,66
Need to find
The confidence interval is mi/h < o < mi/h
Click here to see answer by Boreal(15235) |
Question 1168714: Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
E:{ The sum of the numbers is even }
F:{ The numbers are equal }
Find the following probabilities:
(a) P(E)=
(b) P(F)=
(c) P(E∩F)=
Click here to see answer by solver91311(24713)  |
Question 1168716: If we roll a die two times, determine whether the following pairs of events are independent or dependent?
a. Event A is rolling a 4 on the first die. Event B is rolling a 5 on the second die.
b. Event A is rolling a 3 on the first die. Event B is getting the sum of more than 6 with the two dice.
Click here to see answer by solver91311(24713) |
Question 1168716: If we roll a die two times, determine whether the following pairs of events are independent or dependent?
a. Event A is rolling a 4 on the first die. Event B is rolling a 5 on the second die.
b. Event A is rolling a 3 on the first die. Event B is getting the sum of more than 6 with the two dice.
Click here to see answer by Boreal(15235) |
Question 1168707: A random variable X has pdf f(x) = (3/4)(1-x^2) from -1 < x < 1.
1. Find the cdf
2. Find the first, second and third quartiles.
I have found that the cdf = F(x) = -(x^3)/4 + 3x/4
by taking the integral of f(t) = (3/4)(1-t^2) from [-1,x]
From there I know I need to solve for F(x) = 0.25, F(x) = 0.5 and F(x) = 0.75. However when I solve for those, I keep getting values outside of the interval [-1,1].
Click here to see answer by Boreal(15235) |
Question 1168707: A random variable X has pdf f(x) = (3/4)(1-x^2) from -1 < x < 1.
1. Find the cdf
2. Find the first, second and third quartiles.
I have found that the cdf = F(x) = -(x^3)/4 + 3x/4
by taking the integral of f(t) = (3/4)(1-t^2) from [-1,x]
From there I know I need to solve for F(x) = 0.25, F(x) = 0.5 and F(x) = 0.75. However when I solve for those, I keep getting values outside of the interval [-1,1].
Click here to see answer by ikleyn(52765) |
Question 1168713: Scientific research on popular beverages consisted of 60 studies that were fully sponsored by the food industry, and 40 studies that were conducted with no corporate ties. Of those that were fully sponsored by the food industry, 15 % of the participants found the products unfavorable, 23 % were neutral, and 62 % found the products favorable. Of those that had no industry funding, 38 % found the products unfavorable, 15 % were neutral, and 47 % found the products favorable.
a)What is the probability that a participant selected at random found the products favorable?
b)If a randomly selected participant found the product favorable, what is the probability that the study was sponsored by the food industry?
If a randomly selected participant found the product unfavorable, what is the probability that the study had no industry funding?
Click here to see answer by ikleyn(52765) |
Question 1168711: The chartered financial analyst (CFA) is a designation earned after taking three annual exams (CFA I,II, and III). The exams are taken in early June. Candidates who pass an exam are eligible to take the exam for the next level in the following year. The pass rates for levels I, II, and III are 0.53, 0.78, and 0.85, respectively. Suppose that 3,000 candidates take the level I exam, 2,500 take the level II exam and 2,000 take the level III exam. A randomly selected candidate who took a CFA exam tells you that he has passed the exam. What is the probability that he took the CFA I exam?
Click here to see answer by Boreal(15235) |
Question 1168635: The burning times of electric bulbs approximate a normal curve with a mean of 1200 hours and a standard deviation of 120 hours. if a large number of new lights are installed at the same time (possibly along a newly opened highway), at what time will?
Click here to see answer by Theo(13342) |
Question 1168712: Your favorite team is in the World Series. You have assigned a probability of 62% that they will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 65% of the time. When they lose the championship, they win the first game 28% of the time. The first game is over and your team has lost. What is the probability that they will win the World Series?
Click here to see answer by Boreal(15235) |
Question 1168611: Researchers were examining whether or not average prison sentence lengths for property offenders were different between California and Florida. The
researchers had access to population data from Florida, but not from California. The population data from Florida showed a mean sentence length of 22 months,with a standard deviation of 3.2. Sample data collected in California from 500 convicted property offenders showed a mean sentence length of 24 months.
1. When the researchers conducted a Z-Test for One Sample mean to examine
whether or not there was a significant difference in sentence lengths between
California and Florida, the null hypothesis would be:
a. Ho: μ = 500
b. H1: μ ≠ 500
c. Ho: μ = 24
d. Ho: μ = 22
e. Ho: μ ≥ 22
f. H1: μ ≠ 24
I got A am I correct?
2. Assuming α =.05, what would be the critical value(s) for the z-statistic?
a. 0
b. .05
c. +/- .05
d. +/- 1.00
e. +/- 1.96
f. +/- 2.58
I got E am I correct?
Researchers were examining whether or not the average monthly use of marijuana
had changed for high school students in California. Population data from 2005 showed that high school students smoked marijuana an average of 5 times per month. Sample data from 2017 produced a 95% confidence interval that
suggested high school students smoke marijuana between 2.38 and 6.24 times per
month. Using this information, we can conclude that the researchers who
collected the 2017 data would…
a. …reject the null hypothesis (assuming α = .05).
b. …fail to reject the null hypothesis (assuming α = .05).
c. There is not enough information to draw a conclusion
I got A am I correct?
4. The probability of committing a Type I error is what?
a. Alpha
b. Beta
c. Power
I got A am I correct?
5. A researcher wants to see if there are gender differences in propensity toward violence. She collects data from a random sample of men and women. After conducting her analysis, the researcher concludes that there is not a significant difference in the likelihood of committing violent acts between males and females. However, in reality there is a difference in propensity toward violence between men and women, with men being more likely to commit violent acts. Which of the following best reflects what happened in this research study?
a. The researcher committed a Type I Error
b. The research committed a Type II Error
c. The researcher committed both a Type I and a Type II Error
d. The researcher correctly detected an existing effect
I got B am I correct?
Click here to see answer by Boreal(15235) |
Question 1168606: Use the given information to find the number of degrees of freedom, the critical values X2/L and X2/R, and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.
Nicotine in menthol cigarettes 90% confidence; n=24, s=0.21 mg.
Click here to see answer by Boreal(15235) |
Question 1168574: Researchers were examining whether or not average prison sentence lengths for property offenders were different between California and Florida. The
researchers had access to population data from Florida, but not from California. The population data from Florida showed a mean sentence length of 22 months,with a standard deviation of 3.2. Sample data collected in California from 500 convicted property offenders showed a mean sentence length of 24 months.
1. When the researchers conducted a Z-Test for One Sample mean to examine
whether or not there was a significant difference in sentence lengths between
California and Florida, the null hypothesis would be:
a. Ho: μ = 500
b. H1: μ ≠ 500
c. Ho: μ = 24
d. Ho: μ = 22
e. Ho: μ ≥ 22
f. H1: μ ≠ 24
I got A am I correct?
2. Assuming α =.05, what would be the critical value(s) for the z-statistic?
a. 0
b. .05
c. +/- .05
d. +/- 1.00
e. +/- 1.96
f. +/- 2.58
I got E am I correct?
Researchers were examining whether or not the average monthly use of marijuana
had changed for high school students in California. Population data from 2005 showed that high school students smoked marijuana an average of 5 times per month. Sample data from 2017 produced a 95% confidence interval that
suggested high school students smoke marijuana between 2.38 and 6.24 times per
month. Using this information, we can conclude that the researchers who
collected the 2017 data would…
a. …reject the null hypothesis (assuming α = .05).
b. …fail to reject the null hypothesis (assuming α = .05).
c. There is not enough information to draw a conclusion
I got A am I correct?
4. The probability of committing a Type I error is what?
a. Alpha
b. Beta
c. Power
I got A am I correct?
5. A researcher wants to see if there are gender differences in propensity toward violence. She collects data from a random sample of men and women. After conducting her analysis, the researcher concludes that there is not a significant difference in the likelihood of committing violent acts between males and females. However, in reality there is a difference in propensity toward violence between men and women, with men being more likely to commit violent acts. Which of the following best reflects what happened in this research study?
a. The researcher committed a Type I Error
b. The research committed a Type II Error
c. The researcher committed both a Type I and a Type II Error
d. The researcher correctly detected an existing effect
I got B am I correct?
Click here to see answer by Boreal(15235) |
Question 1168609: In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1=not attractive; 10=extremely attractive). Construct a confidence interval using a 95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females?
5,9,2,9,7,4,6,8,8,9,4,8
Need to find
< u <
round to one decimal place as needed
Click here to see answer by Boreal(15235) |
Question 1168468: In 2006, 63.3 million people subscribed to cable television. In 2013, that number had decreased to 52.3 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Click here to see answer by Boreal(15235) |
Question 1168603: Researchers had access to population data about the number of prior arrests for offenders facing prison time in Nevada. Those data included the following: mean number of prior arrests = 4, and standard deviation = 1.5.
A group of researchers in California wanted to examine whether or not our
offenders are similar to or different than Nevada’s prisoners. However, the
researchers were only able to get access to a sample of offenders facing prison time. The sample information included the following: mean number of prior arrests = 6, and sample size = 225.
The researchers in California decided to conduct a Z-test for One Sample Mean to examine potential differences in prior arrests between the two states.
9. The value of the observed z-statistic for the hypothesis test equals…
a. … 1.18.
b. … 2.00.
c. … -1.18.
d. … -2.00.
e. … 20.00.
I got E am I correct?
Click here to see answer by Boreal(15235) |
Question 1168576: 6.All else being equal, as the sample size increases, the width of a 95% Confidence
Interval…
a. …decreases.
b. …increases.
c. …remains the same
I got A am I correct?
7.A research study with a total sample size of 2,500 individuals will have more
Power than one with a sample size of 750 individuals.
a. TRUE
b. FALSE
I got A am I correct?
8.What is the lower bound of the 95% confidence interval for the data listed below?
n = 1,225 Sample mean = 42
Population standard deviation = 12 zcrit = +/- 1.96
a. 12.000
b. 41.328
c. 42.000
d. 42.019
e. 42.672
I got B am I correct?
9.
Researchers had access to population data about the number of prior arrests for offenders facing prison time in Nevada. Those data included the following: mean number of prior arrests = 4, and standard deviation = 1.5.
A group of researchers in California wanted to examine whether or not our
offenders are similar to or different than Nevada’s prisoners. However, the
researchers were only able to get access to a sample of offenders facing prison time. The sample information included the following: mean number of prior arrests = 6, and sample size = 225.
The researchers in California decided to conduct a Z-test for One Sample Mean to examine potential differences in prior arrests between the two states.
9. The value of the observed z-statistic for the hypothesis test equals…
a. … 1.18.
b. … 2.00.
c. … -1.18.
d. … -2.00.
e. … 20.00.
I got E am I correct?
10. From the results of the hypothesis test (assuming α = .05), the researchers
would…
a. … fail to reject Ho
b. … reject Ho
I got B am I correct?
Click here to see answer by Boreal(15235) |
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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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