Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1113307: A bag contain 8 red 6 blue balls.two drawing of each 2 ballasts made find the probability that the first drawing two red balls and second drawing 2 blue balls, if the balls drawn first are replaced before the second draw
Click here to see answer by rothauserc(4718)   |
Question 1113285: A student weighed a sample of 100 industrial diamonds. She found that the sample average weight was 4.80 grams and the SD was 0.28 grams. In the context of this setting, explain what is meant by the sampling distribution of an average.
Click here to see answer by rothauserc(4718) |
Question 1113309: Consider the following natality statistics for a given population. According to these data the probabilities that a randomly selected woman who gave birth was in each of the follwing age groups is given in the table.
<15years=0.003
15-19years=0.124
20-24years=0.263
25-29years=0.29
30-34years=0.22
35-39years=0.085
40-44years=0.014
45-49years=0.001
a)Given that the mother of a particular child was under 30years of age , what
is the probability she was not yet 20years?
b)Given that the mother was 35 years of age or older, what is the probability
she was under 40?
My thoughts
a) let the probability of being under 30years be A and the probability of being under 20years be B
P(A)= 0.003+0.124+0.263+0.29
= 0.68
P(B)= 0.003+0.124
= 0.127
P(B/A)= P(B).P(A/B) / P(A)
to find P(A/B) i am now lost
Click here to see answer by jim_thompson5910(35256) |
Question 1113320: What is the probability that a random number chosen from 1 to 25 is a multiple or 2 or 4?
My work is that there are 12 multiples of 2 or 4 from 1 - 25. So that means 12/25 = 0.48, or 48% probability. Is this accurate?
Click here to see answer by ikleyn(52750)  |
Question 1113346: Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below:
First-Years (Pop. 1):n1=94,x1=51
Fourth-Years (Pop. 2):,n2=87,x2=55
Is there evidence, at an α=0.05 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
-1.223027281 (correct answer)
B. The rejection region for the standardized test statistic: ?
C. The p-value is ?
D. Your decision for the hypothesis test: ?
Click here to see answer by Boreal(15235)  |
Question 1113357: The table shows the result of a survey in which 3,405,100 public and 489,900 private school teachers were asked about their full-time teaching experience
a) find the probability that a randomly selected private school teacher has 3 to 9 years full time teaching experience. Round your answer to 4 decimal place.
b) find the probability that a randomly selected public school teacher has 3 to 9 years full time teaching experience or is at a private school. Round your answer to 4 decimal places.
Click here to see answer by ikleyn(52750) |
Question 1113378: Statistic students weighed a sample of 9 randomly chosen cans of coke, and found the sample weight to be 12,06 oz. The weight of the population of cans of coke are normally distributed with a mean of 12.00 oz and a population standard deviation of 0.11 oz.
What is the standard error?
What is the probability that a sample of 9 cans will have a mean amount of at least 12.06?
What is the probability that a sample of 9 cans will have a sample mean weight between 11.99 oz and 12.04 oz?
Click here to see answer by rothauserc(4718) |
Question 1111227: Six balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability of the given event. (Round your answer to three decimal places.)
Two or three of the balls are white.
Click here to see answer by math_helper(2461)  |
Question 1113513: I really need some help please! is this correct?
Given the sample 7, 6, 10, 7, 5, 9, 3, 7, 5, 13, find the Standard Deviation, s.
To find this answer we first have to find the mean or avrage;
7+6+10+7+5+9+3+7+5+13=72 then divide by 10.. 72¸10= mean =7.2
Now we establish our deviations;
7-7.2= -0.2
6-7.2= -1.2
10-7.2= 2.8
7-7.2= -0.2
5-7.2= -2.2
9-7.2= 1.8
3-7.2= -4.2
7-7.2= -0.2
5-7.2= -2.2
13-7.2= 5.8
Next we square our deviations;
2 –0.2= -0.4
2 –1.2= -2.4
2 2.8= 7.84
2 –0.2= -0.4
2 –2.2= -4.4
2 1.8= 3.24
2 –4.2= -8.4
2 –0.2= -0.4
2 –2.2= -4.4
2 5.8= 33.64
Next add the values of the numbers we just squared to fin the sum;
-0.4+-2.4+7.84+-0.4+-4.4+3.24+-8.4+-0.4+-4.4+33.64= 23.92
Then, we divide the sum by the number of values minus 1, so it would be 9;
23.92¸9= 2.6577
Finally, we find the square root
Ö2.6577= 1.63
Click here to see answer by ikleyn(52750) |
Question 1113509: A new car is available in a sedan model and a hatchback model. It is available in eight colors. Customers can choose to add any combination of six additional options. What are the number of possible outcomes?
Click here to see answer by ikleyn(52750) |
Question 1113514: Determine whether the given value is from a discrete or continuous data set.
When a limo is randomly selected, it is found to have a gas tank that can hold 17.1 gal.
A.
It is from a discrete data set because the number of possible values is infinite and countable.
B.
It is from a continuous data set because the number of possible values is infinite and not countable.
C.
It is from a discrete data set because the number of possible values is finite or countable.
D.
The data set is neither continuous nor discrete.
Click here to see answer by Boreal(15235) |
Question 1113469: 2.2 Roulette Wheel. The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball.
(a) You watch a roulette wheel spin 3 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(b) You watch a roulette wheel spin 300 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
(c) Are you equally confident of your answers to the parts (a) and (b)? Why or why not?
Click here to see answer by greenestamps(13195)  |
Question 1113524: With a height of 69 in, William was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 74.8 in and a standard deviation of 1.9 in.
a.What is the positive difference between William's height and the mean?
b.How many standard deviations is that [the difference found in part (a)]?
c.Convert William's height to a z score.
d.If we consider "usual" heights to be those that convert to z scores between -2 and 2, is William's height usual or unusual?
A. The positive difference between William's height and the mean is ?
5.8 in.
B. The difference is__standard deviations?
(Type an integer or decimal rounded to two decimal places as needed.)
c. The z score is___?
(Type an integer or decimal rounded to two decimal places as needed.)
D. Is William's height usual or unusual?
Click here to see answer by stanbon(75887) |
Question 1113523: According to the Internal Revenue Service, the mean tax refund for the year 2014 was $2,800. Assume the standard deviation is $450 and that the amounts refunded follow a normal probability distribution.
What percent of the refunds are more than $3,100? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
What percent of the refunds are more than $3,100 but less than $3,500? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
What percent of the refunds are more than $2,250 but less than $3,500? (Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places.)
Click here to see answer by stanbon(75887) |
Question 1113558: Fifteen people showed up to the Math Lab on Monday night. I want to give prizes to three of those students.
a. How many ways can I choose three people to receive an A on their final?
b. How many ways can three people be picked where the first person gets an A on the final, the second person gets 10 extra credit points and the third gets a free calculator?
c. How many ways can three people be chosen so that the first two people get an A on the final and the third gets extra credit.
Click here to see answer by ikleyn(52750) |
Question 1113599: The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with population mean of 320 and population standard deviation of 20 inches.
Referring to Scenario 6-1, for a randomly chosen Monday the probability is 0.1 that there will be less than how many column inches of classified advertisements?
Click here to see answer by stanbon(75887) |
Question 1113611: An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1100, determine the probability that the mean tariff rate of 250 randomly selected railroad-car shipments of ethanol will be within $100 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error.
The probability is __. (Round to three decimal places.)
Click here to see answer by stanbon(75887) |
Question 1113627: It is estimated that the average world birth rate is 15,000 births each hour.
Assuming that these number of births per hour follows a Poisson distribution.
Determine the probability of having
a. 10,000 births in a given hour.
b. 100 births in a given minute.
c. no birth in a given second.
Click here to see answer by rothauserc(4718) |
Question 1113615: In a recent year, the mean number of strokes per hole for a famous golfer was approximately 3.3
(a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is sigma squared equals muσ2=μ. b) How likely is this golfer to play an 18-hole round and have more than 72 strokes?
I have the answer to the Variance =3.3
I also have the answer to the standard deviation = 1.8
I just can not come up with eh answer to how likely is the golfer to play an 18 hole round and have more than 72 strokes.
Click here to see answer by rothauserc(4718) |
Question 1113610: A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.97 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 23 of today's women in their 20s have mean heights of at least 65.65 inches?
About __% of all samples have mean heights of at least 65.65 inches.
Click here to see answer by stanbon(75887) |
Question 1113639: Kyle stands on a street corner tossing a coin. He decides he will toss the coin 10 times, each time walking 1 block north if it lands heads up, and 1 block south if it lands tails up. Find the probability that he ends up 10 blocks north of his original corner.
Click here to see answer by solver91311(24713)  |
Question 1113488: a manufacturing process produces items whose weights are normally distributed . it is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18 % weigh from the mean up to 190 grams . Determine the mean and the standard deviation
Click here to see answer by rothauserc(4718) |
Question 1113731: Cooling method for gas turbines. Refer to the Journal of Engineering for Gas Turbines and Power (January 2005) study of a high-pressure inlet fogging method for a gas turbine engine,Recall that you analyzed a model for heat rate (kilojoules per kilowatt per hour) of a gas turbine as a function of cycle speed (revolutions per minute) and cycle pressure ratio. Now consider a qualitative predictor, engine type, at three levels (traditional, advanced, and aeroderivative).
(a) Write a complete second-order model for heat rate (y) as a function of cycle speed, cycle pressure ratio, and engine type.
(b) Demonstrate that the model graphs out as three second-order response surfaces, one for each level of engine type.
(c) Fit the model to the data in the GASTUR- BINE file and give the least squares prediction equation.
(d) Conduct a global F -test for overall model adequacy.
(e) Conduct a test to determine whether the second-order response surface is identical for each level of engine type.
Click here to see answer by Alan3354(69443)  |
Question 1113671: Professor Easy's final examination has 10 true-false questions followed by 3 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of five. How many answer sheets are possible?
Click here to see answer by ikleyn(52750) |
Question 1113730: Aerobic exercise is good for the heart. A group of college students interested in the effect of stepping exercises on heart rate conducted an experiment in which subjects were randomly assigned to a stepping exercise on either a 5.75-in. step (coded 0) or an 11.50-in. step (coded 1). Each subject started with a resting heart rate and performed the exercise for 3 minutes, at which time his or her exercise heart rate was recorded.
a. You want to test whether the higher step resulted in a larger mean gain in heart rate than did the lower step. Is this a one-sample test or a two-sample test? Explain.
b. Check conditions and then test whether the higher step resulted in a larger mean increase in heart rate.
Click here to see answer by stanbon(75887) |
Question 1113801: According to Beautiful Bride magazine, the average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age was 26.6 years with a standard deviation of 5.3 years. What is the test value for a t test of the claim?
A. 1.81
B. 0.30
C. 0.59
D. 2.13
Click here to see answer by jim_thompson5910(35256) |
Question 1113823: Sam is fond of taking long-distance trips. During each trip his car has a tire failure in each 100-mile stretch with a probability of 0.05. He recently embarked on an 800-mile trip and took two spare tires with him on the trip.
a. What is the probability that the first change of tire occurred 300 miles from his starting point?
b. What is the probability that his second change of tire occurred 500 miles from his starting point?
c. What is the probability that he completed the trip without having to change tires?
Click here to see answer by stanbon(75887) |
Question 1113822: A study of peach trees found that the average number of peaches per tree was 525. The standard deviation of the population is 105 peaches per tree. A scientist wishes to find the 80% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 12 peaches per tree?
A) 77
B)55
C)83
D) 126
Click here to see answer by stanbon(75887) |
Question 1113821: In a survey of 5100 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want 95% confidence in our estimate of the percentage of T.V. viewers who watch network news programs.
A) 2.00%
B) 1.34%
C) 1.54%
D) 1.76%
E) 1.12%
Click here to see answer by stanbon(75887) |
Question 1113820: A scientist claims that only 65% of geese in his area fly south for the winter. He tags 55 random geese in the summer and finds that 17 of them do not fly south in the winter. If = .10, is the scientist's belief warranted?
A. Yes, because the test value 0.64 is in the noncritical region.
B. No, because the test value - 5.30 is in the critical region.
C. Yes, because the test value –0.30 is in the noncritical region.
D. No, because the test value –0.64 is in the noncritical region.
Click here to see answer by stanbon(75887) |
Question 1113819: In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 99% confidence level, the margin of error for this estimate is 3.99%. If we only want to be 90% confident, how will the margin of error change?
A. The margin of error will remain the same.
B. Since less confidence allows a narrower interval, the margin of error will be larger.
C. Since less confidence allows a wider interval, the margin of error will be larger.
D. Since less confidence allows a wider interval, the margin of error will be smaller.
E. Since less confidence allows a narrower interval, the margin of error will be smaller.
Click here to see answer by stanbon(75887) |
Question 1113834: The real estate salesperson is showing property to a couple who look at the house and say, “Gee, this is great. They’ve taken good care of this place and the rugs and drapes are perfect. Do you think they’d be willing to leave the rugs and drapes?” What should the salesperson do or say? Why?
Click here to see answer by ikleyn(52750) |
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