Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1050810: Congressional Terms. Below is given the summary from the 112th Congress of Senators whose terms end in the indicated year.
Party 2013 2015 2017
Democrat 21 20 1
Republican 8 15 13
If a Senator is selected at random, find this probability:
P(Democrat and term expires in 2015)
Have I approached this problem correctly?
P(Democrat) = 42/78 = 7/13
P(Term Expires in 2015) = 20/35 = 4/7
Independent events so P(A n B) = P(A) x P(B) = 7/13 x 4/7 = 4/13
Click here to see answer by ewatrrr(24785)   |
Question 1050817: Suppose your top drawer contains different colored socks: 6 are white, 8 are black, 16 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction.
(a) What is the probability that you get a blue pair of socks?
(b) What is the probability that you do not get a blue pair of socks?
(c) What is the probability that you get either a white pair or a blue pair of socks?
(d) What is the probability that you get one black sock and one white sock?
Click here to see answer by ewatrrr(24785) |
Question 1050831: In a group of people, some are in favor of tax increase on rich people to reduce the federal deficit and others are against it. (Assume that there is no other outcome such as "no opinion" and "do not know.") Three persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible? Write these outcomes in a sample space. Draw a tree diagram for this experiment.
Click here to see answer by ewatrrr(24785) |
Question 1050870: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 19 5 8 32
Female 6 16 15 37
Total 25 21 23 69
If one student is chosen at random,
Find the probability that the student was male AND got a "C".
Click here to see answer by ewatrrr(24785) |
Question 1050856: A math class consists of 22 students, 12 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).
(a) What is the probability that a male is selected, then two females?
(b) What is the probability that a female is selected, then two males?
(c) What is the probability that two females are selected, then one male?
(d) What is the probability that three males are selected?
(e) What is the probability that three females are selected?
Click here to see answer by ewatrrr(24785) |
Question 1050881: Help with these problems tutors please thanks!
A poll was taken of 13,604 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.
Education Level Male Female Total
High School or Less 2700 3030 5730
Bachelor's Degree 2800 3993 6793
Master's Degree 473 502 975
Ph.D. 60 46 106
Total 6033 7571 13,604
A person is selected at random. Compute the following probabilities.
(a) What is the probability that the selected person does not have a Ph.D.?
(b) What is the probability that the selected person does not have a Master's degree?
(c) What is the probability that the selected person is female or has a Master's degree?
(d) What is the probability that the selected person is male or has a Ph.D.?
Click here to see answer by ewatrrr(24785) |
Question 1050887: A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 10 7 6 23
Female 11 9 4 24
Total 21 16 10 47
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got a 'B'.
Click here to see answer by ewatrrr(24785) |
Question 1050893: Is my answer correct?
A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 19 20 2 41
Female 6 15 17 38
Total 25 35 19 79
If one student is chosen at random from those who took the test,
Find the probability that the student got a 'B' GIVEN they are male. 20/35
Click here to see answer by ewatrrr(24785) |
Question 1050939: A poll was taken of 10,882 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.
Education Level Male Female Total
High School or Less 2412 2141 4553
Bachelor's Degree 2794 2781 5575
Master's Degree 324 326 650
Ph.D. 51 53 104
Total 5581 5301 10,882
A person is selected at random. Compute the following probabilities.
(a) What is the probability that the selected person is male, given that he has a Master's degree?
(b) What is the probability that the selected person does not have a Master's degree, given that he is male?
(c) What is the probability that the selected person is female, given that she has a Bachelor's degree?
(d) What is the probability that the selected person has a Ph.D., given that she is female?
Click here to see answer by stanbon(75887) |
Question 1050946: I'm stuck on this one!
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
A) Find the probability that an individual distance is greater than 217.50 cm.
B) find the probability that the mean for 25 randomly selected distances is greater than 202.80 cm.
Click here to see answer by stanbon(75887) |
Question 1050946: I'm stuck on this one!
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
A) Find the probability that an individual distance is greater than 217.50 cm.
B) find the probability that the mean for 25 randomly selected distances is greater than 202.80 cm.
Click here to see answer by ewatrrr(24785) |
Question 1050926: I really need help with this problem:
You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions.
The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100.
a. What is the calculated t value? Are the mean test scores of these two groups significantly different at the .05 level?
b. What would the t value be if there were only 6 participants in each group? Would the scores be significant at the .05 level?
Thank you so much for your help!
Click here to see answer by Boreal(15235)  |
Question 1050926: I really need help with this problem:
You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions.
The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100.
a. What is the calculated t value? Are the mean test scores of these two groups significantly different at the .05 level?
b. What would the t value be if there were only 6 participants in each group? Would the scores be significant at the .05 level?
Thank you so much for your help!
Click here to see answer by stanbon(75887) |
Question 1050934: In Illinois Pick 3 game, you pay 50 cents to select a sequence of 3 digits, such as 285. (There are 1000 possible combinations.) If you win by selecting the correct sequence of digits, you collect $250.
a. Find the net profit for winning, and find the expected value.
b. What does this expected value mean?
Click here to see answer by Edwin McCravy(20054)  |
Question 1050920: Need help tutors ! Thanks
A math class consists of 22 students, 12 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).
What is the probability that a female is selected, then two males?
What is the probability that two females are selected, then one male?What is the probability that three males are selected?
What is the probability that three females are selected?
Click here to see answer by KMST(5328)  |
Question 1051014: I would like some help on this please:
The formula for a regression equation is Y’ = 2X + 9.
a. What would be the predicted score for a person scoring 6 on X?
Does that mean 2 * 6 + 9 = 21 so Y'=21?
b. If someone’s predicted score was 14, what was this person’s score on X?
in that case it would be 2*14 + 9 = 37 so Y' = 37?
I'm hoping it's that easy :)
Click here to see answer by ewatrrr(24785) |
Question 1051018: I need some help on this problem please:
A geologist collects hand-specimen sized pieces of limestone from a particular area. A qualitative assessment of both texture and color is made with the following results. Is there evidence of association between color and texture for these limestones? Explain your answer.
Texture Color Color Color
Light Medium Dark
Fine 4 20 8
Medium 5 23 12
Coarse 21 23 4
Thank you for ANY assistance!
Click here to see answer by rothauserc(4718)  |
Question 1051015: Please help me understand this problem:
For the X,Y data below, compute:
a. r and determine if it is significantly different from zero.
b. the slope of the regression line and test if it differs significantly from zero.
c. the 95% confidence interval for the slope.
I'm lost.
Click here to see answer by ewatrrr(24785) |
Question 1051032: Please help with this question:
Five hundred students took a chemistry test. You sampled 100 students to estimate the average score and the standard deviation. How many degrees of freedom were there in the estimation of the standard deviation? (Justify Please)
(a) 500
(b) 499
(c) 100
(d) 99
I thank you for your time.
Click here to see answer by ewatrrr(24785) |
Question 1051031: Could someone help with this please?
In a two-tailed test, the test statistic is 1.5. We know the test statistic follows a distribution which is symmetric to 0, and P(T > 1.5) = 0.03.
What is your conclusion for the test at the α = 0.05 level? (Please Justify)
(a) Reject null hypothesis
(b) Fail to reject null hypothesis
(c) Cannot be determined
Would it be to reject the null hypothesis?
Click here to see answer by ewatrrr(24785) |
Question 1051047: The entertainment sports industry employs athletes, coaches, referees, and related workers. Of these, 0.35 work part time and 0.49 earn more than $20,540 annually. If 0.38 of these employees work full time and earn more than $20,540, what proportion of the industry's employees are full time or earn more than $20,540?
Click here to see answer by ewatrrr(24785) |
Question 1051013: Could someone please help me understand this:
You are asked to leverage linear regression to find some predicted values. Based on the given values of -1, 1, 2, 3 and 5 and the corresponding y values, you get the linear regression equation as y ˆ=3x+1.
Would you feel comfortable to find the predicted value of y for x = 100 using this equation? Why or why not?
Thank you for any help!
Click here to see answer by Fombitz(32388)  |
Question 1051027: Could I get some guidance on this please?
Consider the hypothesis test given by
H_0: μ=650
H_a: μ<650
Assume the population is normally distributed. In a random sample of 25 subjects, the sample mean is found to be x ̅=640, and the sample standard deviation is s=30.
(a) Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?
(b) Is the test a right-tailed, left-tailed or two-tailed test?
(c) Find the test statistic. (Show work and round the answer to two decimal places)
(d) Determine the P-value for this test. (Show work and round the answer to three decimal places if necessary. If you use technology to find the P-value, you have to describe the steps)
(e) Is there sufficient evidence to justify the rejection of at the α=0.05 level? Explain.
Thank you for your help!
Click here to see answer by ewatrrr(24785) |
Question 1051022: I'm having some difficulty with this problem:
FOX News conducted an online poll of 300 adults in February 2015. One question was “Do you think there should be more gun control laws?”. 120 adults answered Yes.
Find a 95% confidence interval estimate of population proportion of adults who support more gun control laws. (Explain how you get the critical value, show work and round the answer to three decimal places)
Any help on this would be appreciated!
Click here to see answer by ewatrrr(24785) |
Question 1051026: Could someone please help with this?:
The SAT math scores for all seniors in a high school are normally distributed with population standard deviation of 200. 100 seniors from the school are randomly selected, and their SAT math scores has a sample mean of 650.
(a) What distribution will you use to determine the critical value for a confidence interval estimate of the mean SAT math score for the seniors in the high school? Why?
(b) Construct a 95% confidence interval estimate of the mean SAT math score for the seniors in the high school. (Show work and round the answer to two decimal places)
(c) Is a 90% confidence interval estimate of the mean SAT math score wider than the 95% confidence interval estimate you got from part (b)? Why? [You don’t have to construct the 90% confidence interval]
Thank you for any help!
Click here to see answer by ewatrrr(24785) |
Question 1051030: Would you mind helping me on this problem?
In a two-tailed test, the test statistic is 1.5. We know the test statistic follows a distribution which is symmetric to 0, and P(T > 1.5) = 0.03.
What is the p-value for this test? (Please Justify)
(a) 0.03
(b) 0.97
(c) 0.06
(d) 0.94
Thank you so much!
Click here to see answer by ewatrrr(24785) |
Question 1051010: A consumer group surveyed the prices for a certain item in five different stores, and reported the average price as $15.
We visited four of the five stores, and found the prices to be $10, $15, $15, and $25. Assuming that the consumer
group is correct, what is the price of the item at the store that we did not visit?
Click here to see answer by ewatrrr(24785) |
Question 1051020: I have a true/false question:
The standard deviation of the chi-square distribution is twice the mean.
I believe it is false because I see no mention of this in my instructions, but would anyone be able to offer further insight?
Click here to see answer by Fombitz(32388) |
Question 1051060: assume that having a child with brown eyes or blue eyes are equally likely and that eye color is independent of the other children. What is the probability of have 5 children with brown eyes? With work shown.
Click here to see answer by Boreal(15235) |
Question 1051028: Please help me with this:
Assume the population is normally distributed. Given a sample size of 225, with sample mean of 750 and standard deviation of 30, we perform the following hypothesis test.
H_0: μ=745
H_a: μ≠745
Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?
What is the test statistic? (Show work and round the answer to three decimal places)
What is the p-value? (Show work and round the answer to two decimal places. If you use technology to find the P-value, you have to describe the steps)
What is your conclusion of the test at the α = 0.1005 level? Why? (Show work)
I appreciate your time, thank you!
Click here to see answer by rothauserc(4718) |
Question 1051110: There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must be 2 men and 2 women? How many ways can this committee be selected if there must be at least 2 women on the committee?
Thank You
Click here to see answer by stanbon(75887) |
Question 1051193: FOX News conducted an online poll of 300 adults in February 2015. One question was “Do you agree there should be more gun control laws?”. 120 adults answered Yes.
In a similar online poll conducted in 2012, 35% of adults supported more gun control laws. In order to determine if the proportion of adults who support more gun control laws in 2015 is higher than 3 years ago, we would like to perform the following hypothesis test:
H_0: p=0.35
H_a: p>0.35
(a) Find the test statistic. (Show work and round the answer to two decimal places)
(b) Determine the P-value for this test. (Show work and round the answer to three decimal places. If you use technology to find the P-value, you have to describe the steps)
(c) Is there sufficient evidence to justify the rejection of at the α=0.05 level? Explain.
Please help me with this!
Click here to see answer by ewatrrr(24785) |
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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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