Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1048396: A large cooler contains the following drinks: 8 lemonades, 6 Sprites, 13 Cokes, and 5 root beers. You randomly pick two cans, one at a time (without replacement). Compute the following probabilities.
(a) What is the probability that you get two cans of Sprite?
(b) What is the probability that you do not get two cans of Coke?
(c) What is the probability that you get either two root beers or two lemonades?
(d) What is the probability that you get one can of Coke and one can of Sprite?
(e) What is the probability that you get two drinks of the same type?
Click here to see answer by ewatrrr(24785)   |
Question 1048395: Giving a test to a group of students, the grades and genders are summarized below.
A B C Total
Male 6 17 10 33
Female 3 11 14 28
Total 9 28 24 61
If one student is chosen at random,
find the probability that the student was female OR received a grade of "C". (Leave answer to four decimal places.)
Click here to see answer by ewatrrr(24785) |
Question 1048394: Education Level Male Female Total
High School or Less 2136 2409 4545
Bachelor's Degree 2827 2854 5681
Master's Degree 385 352 737
Ph.D. 69 57 126
Total 5417 5672 11,089
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 1048454: Which statistic would this company’s labor union representative be most likely to cite during contract negotiations and why? Which statistic would the company president most likely report at the annual shareholders’ meeting and why
Click here to see answer by Boreal(15235)  |
Question 1048314: A poll was taken of 11,089 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 2136 2409 4545
Bachelor's Degree 2827 2854 5681
Master's Degree 385 352 737
Ph.D. 69 57 126
Total 5417 5672 11,089
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.?
Preview
(b) What is the probability that the selected person does not have a Master's degree?
Preview
(c) What is the probability that the selected person is female or has a Master's degree?
Preview
(d) What is the probability that the selected person is male or has a Ph.D.?
Click here to see answer by jorel555(1290) |
Question 1048466: Hello, can someone please check my work for a and b? Also, I am not sure how to find the answer for c.
Given the following data where MPG is the response variable and weight is the explanatory variable:
(MPG, Weight)
Car 1- 25, 2365
Car 2 - 22, 3020
Car 3- 23, 3235
Car 4- 18, 3545
Car 5- 19, 2905
Car 6- 27, 2420
a. Interpret the meaning of the y-intercept and the slope within this scenario.
my answer but I am not sure how to interpret: y = 39.678 – 0.006x
b. What would you predict the city MPG to be for a car that weighs 3000 pounds?
39.678 – 0.006(3000) = 21.678 MPG
c.If a car that weighs 3000 pounds actually gets 32 MPG, would this be unusual? Calculate the residual and talk about what that value represents.
Click here to see answer by Boreal(15235) |
Question 1048482: The participants were classified by sex and by level of education. The results are shown below. A poll was taken of 11,089 working adults aged 40-70 to determine their level of education.?
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 Edwin McCravy(20054)  |
Question 1048494: Help Me Please
A math class consists of 40 students, 23 female and 17 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?
Click here to see answer by solver91311(24713)  |
Question 1048492: Hello, can someone please check my work and help me understand c,d,e? I am not sure if I am doing this correctly.
Chi-Square test of independence
Diploma-- No Diploma-- Total
Male: 56-- 32-- 88
Female: 62-- 41-- 103
Total: 118-- 73-- 191
a.Have the assumptions for this test been met? Why or why not?
Yes, because Yes E ≥ 5
b.State the null and alternative hypotheses for this test.
H0 : There is not a relationship between gender and whether or not someone is a college graduate (they are independent).
Ha: There is a relationship between gender and whether or not someone is a college graduate (they are dependent).
c. Calculate the test statistic for this test. Explain what is the test statistic represents.
The test statistic is 0.2381
d. What is the p-value? Explain what this p-value represents
The p-value is .625559
e. What is the conclusion for this test at the 0.05 level of significance. Are these variables dependent/associated? Why or why not?
Click here to see answer by ewatrrr(24785) |
Question 1048522: Can someone please check my work and help me understand c,d,e? I figured out the answers by following the formulas but I am not sure why.
Chi-square test of independence
Diploma-- No Diploma-- Total
Male: 56-- 32-- 88
Female: 62-- 41-- 103
Total: 118-- 73-- 191
a.Have the assumptions for this test been met? Why or why not?
Yes, because Yes E ≥ 5
b.State the null and alternative hypotheses for this test.
H0 : There is not a relationship between gender and whether or not someone is a college graduate (they are independent).
Ha: There is a relationship between gender and whether or not someone is a college graduate (they are dependent).
c. Calculate the test statistic for this test. Explain what is the test statistic represents.
The test statistic is 0.2381
d. What is the p-value? Explain what this p-value represents
The p-value is .625559
e. What is the conclusion for this test at the 0.05 level of significance. Are these variables dependent/associated? Why or why not?
p < .05 The data provides sufficient evidence, at the 0.05 level of significance, that the variables are independent.
Click here to see answer by ewatrrr(24785) |
Question 1048478: Chi-square test of independence
Diploma-- No Diploma-- Total
Male: 56-- 32-- 88
Female: 62-- 41-- 103
Total: 118-- 73-- 191
a.Have the assumptions for this test been met? Why or why not?
b.State the null and alternative hypotheses for this test.
c. Calculate the test statistic for this test. Explain what this test statistic represents.
d. What is the p-value? Explain what this p-value represents
e. What is the conclusion for this test at the 0.05 level of significance. Are these variables dependent/associated? Why or why not?
Click here to see answer by ewatrrr(24785) |
Question 1048521: I'm sorry, I forgot to include the total.
A student is analyzing the relationship between gender and favorite type of book out of mystery, sci-fi and romance. Calculate whether gender and type of favorite book are independent at the .05 level of significance. Show all five steps of this test. Here are the random samples:
Mystery--Sci-Fi-- Romance-- Total
Male 28-- 152-- 218-- 398
Femal 213-- 102-- 189-- 504
Total 241-- 254-- 407-- 902
Click here to see answer by ewatrrr(24785) |
Question 1048520: A student is analyzing the relationship between gender and favorite type of book out of mystery, sci-fi and romance. Calculate whether gender and type of favorite book are independent at the .05 level of significance. Show all five steps of this test. Here is the random sample:
Mystery--Sci-Fi-- Romance-- Total
Male 28-- 152-- 218-- 398
Femal 213-- 102-- 189-- 504
Click here to see answer by ewatrrr(24785) |
Question 1048495: A student is analyzing the relationship between gender and favorite type of book out of mystery, sci-fi and romance. Calculate whether gender and type of favorite book are independent at the .05 level of significance. Show all five steps of this test.
Mystery--Sci-Fi-- Romance-- Total
Male 28-- 152-- 218-- 398
Femal 213-- 102-- 189-- 504
Total 241-- 254-- 407-- 902
Click here to see answer by ewatrrr(24785) |
Question 1048531: A math class consists of 40 students, 23 female and 17 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 1048550: The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of his car and its make (foreign or domestic).
Age of Car (in years)
.....Make | 0-2 | 3-5 | 6-10 | over10 | Total
..Foreign | 41 | 27 | 11 | 21 | 100
Domestic | 38 | 24 | 13 | 25 | 100
.......Total | 79 | 51 | 24 | 46 | 200
A car was randomly selected from the lot. Given that the car selected is older than two years old, find the probability that it is not a foreign car.
Can someone show how to solve this? Not just looking for an answer :)
Click here to see answer by ewatrrr(24785) |
Question 1048562: In a supermarket, the probability that the eggs are rotten is 1/5. If Hassan went to the same market and buys 4 eggs.
a. Find the probability that at least one egg is rotten.
b. Given that at least one egg is rotten, what is the probability that more
Click here to see answer by Boreal(15235) |
Question 1048477: The heights of the children at a summer camp are normally distributed with a mean of 54 in. and a standard deviation of 2.4 in.
Round to the nearest tenth
Enter the height of a child, whose z-score is 1.5, in the box.
Click here to see answer by ewatrrr(24785) |
Question 1048572: A fast-food restaurant chain with 700 outlets in the United States describes the geographic location of its restaurants with the accompanying table of percentages. A restaurant is to be chosen at random from the 700 to test market a new style of chicken. Given that the restaurant is located in the eastern United States, what is the probability it is located in a city with a population of at least 10,000?
Population of City | NE | SE | SW | NW
.............. < 10,000 | 7% | 6% | 3% | 0%
.10,000 to 100,000 | 15%| 3% | 12%| 5%
............. > 100,000 | 20%| 4% | 1% | 24%
a) 0.764
b) 0.5
c) 0.236
d) 0.42
Guessed d) .42 and got it wrong. How do I solve this?
Click here to see answer by ewatrrr(24785) |
Question 1048594: Suppose that 3% of all adults suffer from diabetes and that 28% of all adults are obese. Suppose also that 2% of all adults both are obese and suffer from diabetes.
(a) Find the probability that a randomly chosen adult who is obese also suffers from diabetes. Round your answer to decimal places.
(b) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. Round your answer to decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1048596: A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 19 20 15 54
Female 3 5 8 16
Total 22 25 23 70
Conditional Probability
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 'C'.
Click here to see answer by ewatrrr(24785) |
Question 1048646: A contractor has submitted bids for two state construction projects. The probability that he will win any contract is 0.25. Find the probability that:
a) He will win both contracts
b) He will win neither contract
c) He will win exactly one contract
Click here to see answer by rothauserc(4718)  |
Question 1048683: Suppose a math class contains 27 students, 11 females (two of whom speak French) and 16 males (four of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is female.
Click here to see answer by jorel555(1290) |
Question 1048684:
I need help with getting the steps of this problem!!!!!!!!
Suppose a math class contains 33 students, 14 females (two of whom speak French) and 19 males (two of whom speak French). Compute the probability that a randomly selected student is male, given that the student speaks French.
Click here to see answer by jorel555(1290) |
Question 1048705: A poll was taken of 13,876 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 3689 3343 7032
Bachelor's Degree 2395 3282 5677
Master's Degree 530 519 1049
Ph.D. 66 52 118
Total 6680 7196 13,876
A person is selected at random. Compute the following probabilities.
(b) What is the probability that the selected person does not have a Master's degree, given that he is male?
(d) What is the probability that the selected person has a Ph.D., given that she is female?
Click here to see answer by jorel555(1290) |
Question 1048574: A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 67% regularly use the golf course, 48% regularly use the tennis courts, and 8% use neither of these facilities regularly. What percentage of the 600 use at least one of the golf or tennis facilities?
Guessed 23% and got it wrong
Click here to see answer by jorel555(1290) |
Question 1048760: PLEASE HELP!!!!!!!!
Counting Methods
In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? (Give your answer as a fraction.)
Click here to see answer by robertb(5830)  |
Question 1048696: A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive".
a) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign.
What I have : p=(the person tests positive =90% *(1/200)=+0.05*199/200)=0.05425=0.1
b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A'|B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.
What I have : p(the person with positive test is really infected)=[90%*(1/200)] divided (0.05425)=0.082949=82.94
Click here to see answer by robertb(5830) |
Question 1048797: Dear friends,
I am stuck at the following probability problem. Will appreciate your help.
Two opera singers, Mario and Clarissa both perform on the same night, in separate recitals. The independent probabilities that two newspapers X and Y publish reviews of their recitals are given below:
Probability of review in newspaper X
====================================
Mario's recital - 1/2
Clarissa's recital - 2/3
Probability of review in newspaper Y
====================================
Mario's recital - 1/4
Clarissa's recital - 2/5
Mario buys one of the newspapers at random. What is the probability that it has reviewed "both" recitals?
I did this way: P(reviewed both recitals) = P(buys paper X)*P(X reviews Mario)*P(X reviews Clarissa) = (1/2)*(1/2)*(2/3) = 1/6
But 1/6 is not the correct answer. Let me know where I am wrong and why.
Thanks in advance.
Click here to see answer by stanbon(75887) |
Question 1048812: PLEASE HELP!! I REALLY NEED HELP!
A jury pool consists of 30 people, 16 men and 14 women. Compute the probability that a randomly selected jury of 12 people is all male. (Give your answer as a fraction.)
Click here to see answer by Theo(13342)  |
Question 1048712: Suppose a math class contains 31 students, 10 females (six of whom speak French) and 21 males (three of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.
Click here to see answer by Theo(13342) |
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