Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1194069: A hockey player scores on 18% of his shots.
a)What is the probability he will score for the first time on his fifth shot?
b)What is the probability that it will take him fewer than 3 shots to score?
c)How many shots should he expect to take before scoring?
Click here to see answer by Boreal(15235)   |
Question 1194087: Six questions are in a multiple choice quiz. Each question has 5 possible answers. A student guesses at each question.
b)Find the probability that the student passes (earns at least 50%)
c)What is the student's expected number of correct answers?
Click here to see answer by ikleyn(52767)  |
Question 1194089: A spinner is divided into three equally sized regions as shown. The spinner is spun twice. For each probability you determine, express your answer as a fraction, decimal and percent.
b)Draw a tree diagram to represent the sample space for both spins.
c)What is the probability of spinning A followed by B ?
d)What is the probability of having the same letter on both spins?
Click here to see answer by greenestamps(13198)  |
Question 1194088: Six cats and seven dogs are in the local animal shelter. Four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals.
b)What is the probability that at least one cat is chosen?
Click here to see answer by greenestamps(13198) |
Question 1193994: Past experience shows that 1% of the light bulbs produced in a plant are defective. Find the probability that more than one blub is defective in a random sample of 30 bulbs, using (a) binomial distribution and (b)the poisson distribution
Click here to see answer by Boreal(15235) |
Question 1194116: A bag contains 36 red blocks, 48 green blocks, 22 yellow blocks, and 19 purple blocks. You pick
fractions.
one block from the bag at random. Find each theoretical probability. Leave answers as reduced
a.
P(green)
12a.
b. P(not yellow)
12b.
c. P(green or not purple)
12C.
d. Probability you grab a green, given you already got a purple
12d.
Click here to see answer by Boreal(15235) |
Question 1194101: The median age of men at first marriage in 1970 was 23.2, and 29.2 in 2015.
a.) Use the two data points to find a linear function that fits the data. Let x =the number of years after 1970 and A=the median age at first marriage x years after 1970.
b.) Use the function to estimate the median age of men at first marriage in 2008 and in 2019.
Click here to see answer by Boreal(15235) |
Question 1193959: Over the last several years, the use of cellphones has increased dramatically. An article in USA Today reported that according to a poll, the mean talking time per month for cellphones was 372 minutes for men and 275 for women, while the mean talking time per month for traditional home phones was 334 minutes for men and 510 minutes for women. Suppose that the poll was based on a sample of 100 men and 100 women, and that the standard deviation of the talking time per month for cellphones was 120 minutes for men and 100 minutes for women, while the standard deviation of the talking time per month for traditional home phone was 100 minutes for men and 150 minutes for women. (critical value = +1.96)
a. Is there evidence of a difference in the mean monthly talking time on cellphones for men and women?
b. Is there evidence of a difference in the mean talking time on traditional home phone for men and women?
2. Management training programs are often instituted to teach supervisory skills and thereby increase productivity. Suppose a university psychologist administers a set of examination to each of 10 graduating students before such training program begins and then administers similar examinations at the end of the program. Examinations are designed to measure supervisory skills, with highest scores indicating increased skills. The results are shown below:
Student Before Training After Training
1 63 78
2 93 92
3 84 91
4 72 80
5 65 69
6 72 85
7 91 99
8 84 82
9 71 81
10 80 87
Do the data provide evidence that the training program is effective in increasing supervisory skills, as measured by the examination scores? Use 0.10 significance level. (critical value = +1.383)
Click here to see answer by Boreal(15235) |
Question 1194137: A company claims that the average lifetime of a bulb that they sell is at least 36,000 hours. To check the claim, 28 bulbs were sampled and found to have mean lifetime of 32,940 hours. With a standard deviation of 1,950 hours, is the claim true?
what is the problem that is being addressed by the experimental study?
state the hypothesis base on the data and the given problem.
make a complete test of the null hypothesis so that you can give the answer to the research problem
Click here to see answer by Theo(13342)  |
Question 1194146: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event A: the sum is greater than 8.
Event B: the sum is an even number.
round answer two demical points
P(A)=
P(B)=
Click here to see answer by math_tutor2020(3816) |
Question 1194145: In a 6/35 lottery game, a player pays $1 and selects six numbers from 1 to 35. Any player who has chosen the six winning numbers wins $1,000,000. Assuming that this is the only way to win, what is the expected value of this game? (round to the nearest cent)
Click here to see answer by math_tutor2020(3816) |
Question 1194129: A jar on your desk contains fourteen black, nine red, twelve yellow, and two green jellybeans. You pick a jellybean without looking. Please show how you get to the answer
a) How many ways are there to pick a red jellybean from the jar?
b) How many ways are there to pick a yellow jellybean from the jar?
c) How many ways are there to pick either a red or a yellow jellybean from the jar?
Click here to see answer by ikleyn(52767) |
Question 1194160: The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1250 and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips?
(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate chips?
(d) What is the percentile rank of a bag that contains 1050 chocolate chips?
Click here to see answer by ikleyn(52767) |
Question 1194183: Determine whether the given events are mutually exclusive or not. Write M if mutually and N if not.
1. A die rolled once. What is the probability of getting a 2 or 4?
2. Tossing a coin. What is the probability of getting a head?
3. A box has 2 red balls, 4 white balls, and 7 blue balls. If a ball is drawn at a random from the box, what is the probability that it is red or blue
4. A die is rolled once. What is the probability of getting a 4 or a number divisible by 2?
i need this rn.
Click here to see answer by math_tutor2020(3816) |
Question 1194186: In a binary communication system a zero and a one is transmitted with probability 0.6 and 0.4 respectively. Due to error in the communication system a zero becomes a one with a probability 0.1 and a one becomes a zero with a probability 0.08. Determine the probability (i) of receiving a one and (ii) that a one was transmitted when the received message is one
Click here to see answer by ikleyn(52767) |
Question 1194200: The Department of Transportation in South Africa conducted a study a number of years ago that
showed that the proportion of cars tested which failed to meet the state pollution standard was
37%. The department would like to be able to say that the cars have improved since then. In a
sample of 100 cars more recently, the proportion not meeting the standards was 28%.
Are the cars better at meeting the standards than they used to be? Clearly state the null and
alternative hypotheses. Perform the hypothesis test at 99% confidence level and explain the
meaning of your conclusion.
Click here to see answer by Boreal(15235) |
Question 1194199: A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing
tests by the Food and Drug Administration (FDA) before its introduction into the market. The
weights of a random sample of five people are recorded before they are introduced to the liquid
protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks.
At the end of this period, their weights (in pounds) are again recorded. The results are listed in
the table. Let µ1be true mean weight of individuals before starting the diet and let µ2be the true
mean weight of individuals after 3 weeks on the diet.
1 2 3 4 5
Weight before diet 156 201 194 203 210
Weight after diet 149 196 191 197 206
Given that Sd =1.58, test to determine if the diet is effective at reducing weight. Use α=0.1
Click here to see answer by Boreal(15235) |
Question 1194198: A package delivery service divides their packages into weight classes. Suppose that packages in
the 14 to 20 KG class are uniformly distributed, meaning that all weights within that class are
equally likely to occur.
Provide a sketch diagram to summarize the above information. Show precisely f(x), the
mean value and the boundaries.
Click here to see answer by ikleyn(52767) |
Question 1194231: Rebecca is your school's star basketball player. When she takes a shot, she typically scores 75% of the time. Suppose she takes 20 shots in a game. Design a simulation to estimate the probability of the number of baskets Rebecca makes in a game.
Thank you,
jballen0211@gmail.com
Click here to see answer by ikleyn(52767) |
Question 1194238: 1. A spinner is divided into six equally sized regions. Two of the regions are labeled 6, two of the regions are labeled 2, one region is labeled 1, and the last region is labeled 3. The spinner is spun 750 times.
(a) How many times is the spinner expected to land on 6?
(b) How many times is the spinner expected to land on a prime number?
Click here to see answer by ikleyn(52767) |
Question 1194238: 1. A spinner is divided into six equally sized regions. Two of the regions are labeled 6, two of the regions are labeled 2, one region is labeled 1, and the last region is labeled 3. The spinner is spun 750 times.
(a) How many times is the spinner expected to land on 6?
(b) How many times is the spinner expected to land on a prime number?
Click here to see answer by greenestamps(13198) |
Question 1194236: The time it takes to assemble a car in a certain plant is normally distributed with a mean of 20 hours and a variance of 4 hours squared. Find the probability that a car can be assembled at this plant between 18 and 25 hours inclusive.
Click here to see answer by ikleyn(52767) |
Question 1194257: 1. Suppose in a group of 500 men, it is found that 210 like to jog, 258 play badminton, 216
maintain a healthy eating habit, 122 jog and play badminton, 83 maintain a healthy eating habit
and play badminton, 97 jog and practice healthy eating habits and 52 involve all three practices,
find the probability that the man:
a. Jog but does not eat healthily
b. Eats healthily and plays badminton but does not jog.
c. Does not jog or eat healthily
(show the above given in Venn Diagram)
Click here to see answer by ikleyn(52767) |
Question 1194257: 1. Suppose in a group of 500 men, it is found that 210 like to jog, 258 play badminton, 216
maintain a healthy eating habit, 122 jog and play badminton, 83 maintain a healthy eating habit
and play badminton, 97 jog and practice healthy eating habits and 52 involve all three practices,
find the probability that the man:
a. Jog but does not eat healthily
b. Eats healthily and plays badminton but does not jog.
c. Does not jog or eat healthily
(show the above given in Venn Diagram)
Click here to see answer by greenestamps(13198) |
Question 1194263: A statistics class has 50 students and among those students, 35 are business majors and 7 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major or likes grilled cheese.
Click here to see answer by ikleyn(52767) |
Question 1194255: According to the Internal revenue service, the mean tax refund for the year 2019 was $2,708. Assume the standard deviation is $650 and the amounts refunded follow a normal probability distribution.
1. What percent of the refunds are more than $3,000?
2. What percent of the refunds are more than $3,000 but less than $3,500?
3. What percent of the refunds are more than $2,500 but less than $3,500?
Click here to see answer by ikleyn(52767) |
Question 1194265: Dr. Richmond, a psychologist, is studying the daytime television viewing habits of college
students. She believes 45 percent of college students watch soap operas during the afternoon. To further investigate, she selects a sample of 10.
a. Develop a probability distribution for the number of students in the sample who watch
soap operas.
b. Find the mean and the standard deviation of this distribution.
c. What is the probability of finding exactly four watch soap operas?
d. What is the probability less than half of the students selected watch soap operas?
Click here to see answer by math_tutor2020(3816) |
Question 1194260: A survey was given to a random sample of 650 voters about their preference for a presidential candidate. those surveyed, 481 respondents preferred Candidate A. Determine a 95% confidence interval for the proportion of people who prefer Candidate A, rounding values to the nearest thousandth.
Click here to see answer by math_tutor2020(3816) |
Question 1194272: 9. The probability that a mechanic who works at a workshop correctly repairs a car engine is 0.7.
If the mechanic wrongly repairs the engine, the probability that he should pay compensation to
the owner of the workshop is 0.9. What is the probability that the mechanic wrongly repairs a car
engine and should pay compensation?
Click here to see answer by ikleyn(52767) |
Question 1194271: 7. In a class of advanced statistics, there are 10 first- year, 30 second year and 10 third- year
students. The final examination results reveal that 3 first- year, 10 second- year and 5 third- year
students received an A for the course. If a student from this class is selected at random and found
to get A, what is the probability that he was a second year student?
Click here to see answer by ikleyn(52767) |
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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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