Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 316826: Solve the following system of equations using the inverse matrix method.
x+3y=6
x-2z=-1
3y+z=5
X=
y=
z=
Click here to see answer by Fombitz(32388)

Question 316832: A silver dollar is flipped twice. Calculate the proability of each of the following occurring:
a) a head on the first flip
b) a tail on the second flip given that the first toss was a head
c) two tails
d) a tail on the first and a head on the second
e) a tail on the first and a head on the second or a head on the first and a tail on the second
e) at least one head on the two flips
Click here to see answer by stanbon(75887)

Question 316830: Fill in the blanks.
The length of a rectangular swimming pool is 15 feet longer than the width. If the perimeter is 82 feet, then what are the length and the width (in feet)?
length =
width =

Click here to see answer by stanbon(75887)

Question 316828: Solve the following system of equations
x-2y=-8
3x+2y=0
(x,y)=?
Click here to see answer by checkley77(12844)

Question 293512: The average age of residents in a large residential retirement community is 69 years with standard deviation 5.8 years. A simple random sample of 100 residents is to be selected, and the sample mean age of these residents is to be computed.
The probability that the average age, of the 100 residents selected is more than 70 years is...?
Click here to see answer by freddy22(1)

Question 316829: Fill in the blanks.
Mrs. Brighton invested $30,000 and received a total of $2,300 in interest. She invested part of the money at 10% and the remainder at 5%. She invested $_______ at 10% and $_________ at 5%

Click here to see answer by Fombitz(32388)

Question 316684: The following time series data represent the quarterly amounts spent on advertising (in millions of dollars) by a large toy company (read across):
Quarter 1 Quarter 2 Quarter 3 Quarter 4
8.2 8.4 7.2 8.3
8.4 9.8 9.6 9.5
8.3 9.3 10.9 11.1
10.0 10.0 9.3 11.8
11.5 11.8 11.4 10.8
10.7
This series of data begins in Quarter of (i.e., time period corresponds to the first quarter of ). Using regression analysis, a linear trend line of the form was fit to the data. Using this information, generate a forecast for the total yearly amount of money that will be spent on advertising in .
Click here to see answer by Fombitz(32388)

Question 316820: The length of a rectangular swimming pool is 15 feet longer than the width. If the perimeter is 82 feet, then what are the length and the width (in feet)?
Click here to see answer by Fombitz(32388)

Question 316940: Jane's grades on her 10 tests in science class are 65, 72, 80, 80,85, 87, 88,90,92,95. What is the average (arithmetic mean) of the median and mode of this set of data?
Click here to see answer by elocin(2)

Question 317044: Ten percent of adults say oatmeal raisin is their fav cookie. You randomly select 12 adults and ask each to name his or her fav cookie.
1. what is value of N?, p?, q?
c. What is the probability that exactly 3 of the 12 adults surveyed will say their favorite cookie is oatmeal raisin? (You may use the table)
d. What is the probability that 3 or less adults will say oatmeal raisin is their favorite cookie?
(You may use the table)
2. Thirty-eight percent of people in the United States have type O+ blood.
a. If you randomly select five Americans and ask them if their blood type is O+, what is the probability that exactly 3 will have blood type O+?
(You MUST use the binominal formula)
b. If 5 Americans are selected at random, find the probability that 1 or less Americans will have O+ blood type.
(You MUST use the binomial formula)

3. In Pittsburgh, Pennsylvania, about 56% of the days in a year are cloudy.
a. Find the mean (average) number of days during the month of June (June has 30 days) that it will be cloudy in Pittsburgh, PA
b. Find the standard deviation of the number of days in the month of June that it will be cloudy in Pittsburgh, PA.

Click here to see answer by stanbon(75887)

Question 317049: 3. In Pittsburgh, Pennsylvania, about 56% of the days in a year are cloudy.
a. Find the mean (average) number of days during the month of June (June has 30 days) that it will be cloudy in Pittsburgh, PA
b. Find the standard deviation of the number of days in the month of June that it will be cloudy in Pittsburgh, PA.

Click here to see answer by stanbon(75887)

Question 317048: 2. Thirty-eight percent of people in the United States have type O+ blood.
a. If you randomly select five Americans and ask them if their blood type is O+, what is the probability that exactly 3 will have blood type O+?
(You MUST use the binominal formula)
b. If 5 Americans are selected at random, find the probability that 1 or less Americans will have O+ blood type.
(You MUST use the binomial formula)
Click here to see answer by stanbon(75887)

Question 317081: What are the major underlying assumptions of the biopsychological approach? What effect do these assumptions have on the field?
Click here to see answer by solver91311(24713)

Question 317134: A single card is drawn from deck. What is the probability of selecting a spade or a three?
Click here to see answer by Fombitz(32388)

Question 317029: Can someone please help me get this problem finished or should I say help me with it. I am totally drawing a blank.
A randomly selected sample of n = 51 men in Brazil had an average lifespan of 59 years. The standard deviation was 10 years, and the standard error of the mean is 1.400. Calculate a 90% confidence interval for the average lifespan for all men in Brazil.
1) (56.6, 61.4)
2)(42.2, 75.8)
3) (56.2, 61.8)
Kristal

Click here to see answer by stanbon(75887)

Question 317178: There are g green marbles, r red marbles, and b blue marbles in a bag, and the chance of draawing a blue marble is 2/5. If w white marbles are added to the bag, the chance of drawing a blue marble becomes 1/4. What is the ratio of white marbles to blue marbles in the final bag?
Click here to see answer by Fombitz(32388)

Question 317141:
A consumer research company collected data for 16 models of sport utility vehicles of various sizes. The research team measured the overall fuel economy and the distance between their front and rear axles (wheelbase) of each vehicle. The scatter plot and line of best fit is shown in the diagram below.
1. Which one of the following statements concerning the regression line is true?
a. There is a positive linear relationship between the two variables.
b. The slope is greater that 1.
c. The intercept is at or near 30.
d. Vehicles with larger wheelbases have the worst fuel economy.
2. The slope of the regression line, b1, is at or near which of the following values?
a. �0.3
b. 0
c. 0.3
d. 3
3. The intercept of the regression line, b0, is at or near which of the following values?
a. 20
b. 30
c. 60
d. 160
4. Juanita Douglas just bought a new red SUV that has a wheelbase of 115 inches. What overall fuel economy can she expect to obtain?
a. 28 mpg
b. 25 mpg
c. 20 mpg
d. 15 mpg

5. A �0.947 correlation coefficient has been found between two variables after examining 43 pairs of observations. What can be concluded?
a. There is a strong positive relationship between the two variables.
b. There is a strong negative relationship between the two variables.
c. There is a weak positive relationship between the two variables.
Click here to see answer by Fombitz(32388)

Question 317226: you have a 3 card deck containing a queen king and a jack you draw a card randomly, put the card back and draw another.calculate the probability you draw 1 queen
Click here to see answer by Fombitz(32388)

Question 317201: The mean SAT score in mathematics is 485. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis H_0and the alternative hypothesis H_1that they would use.
H_0=
H_1=

Click here to see answer by Fombitz(32388)

Question 317225: The heights of all female college basketball players are normally distributed with a mean of 68 inches and a standard deviation of 2 inches. The probability that the height of a randomly selected female college basketball player is between 65.5 and 70.5 inches is?
Click here to see answer by Fombitz(32388)

Question 317244: This is a question from the GRE. A student has test scores of 85, x, and y, respectively, and an average score of 96 on the three tests. What is the average of x and y? how to you solve this problem? Thank you.
Click here to see answer by Jstrasner(112)

Question 317299: What is the probability that a random sample of n=30 batteries results in a mean talk time of at least 330 minutes?
Click here to see answer by solver91311(24713)

Question 317258: Evaluate: 4C0
Click here to see answer by rfer(16322)

Question 317333: machine has 9 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
Ans

Click here to see answer by stanbon(75887)

Question 317193: A survey of an urban university (population of 25,450) showed that 870 of 1100 students sampled supported a fee increase to fund improvements to the student recreation center

Using the 95% level of confidence, what is the confidence interval?
Click here to see answer by stanbon(75887)

Question 317354: Your company has asked you to determine if there are any trends in the cost of operating the shipping department. You have put all the available information together for the past few years in the following table:

Year
1995
1997
1998
1999
2000
2001
Cost (in thousands $)
4.7
5.97
7.2
8.55
9.3
18.5

You notice that there is a good trend up until last year when operation costs jumped. Find the line of best fit both with and without the year 2001.
Which trend line seems to work better? Would you eliminate the data point for 2001 when reporting the results to your manager? Explain why or why not?
Click here to see answer by Fombitz(32388)

Question 317437: If the odds for pulling a prize out of the box are 3:4, what is the probability of not pulling a prize out of the box? Express your answer as a common fraction.
Click here to see answer by Fombitz(32388)

Question 317434: Billy takes two marbles, without replacement, from a bag that contains only six yellow marbles and three blue marbles. What is the probability that he gets one marble of each color? Express your answer as a common fraction.
Click here to see answer by Edwin McCravy(20054)

Question 317403: Market research in a particular city indicated that during a week 18% of all adults watch a television program oriented to business and financial issues, 12 % read a publication oriented to these issues and 10 % do both .
a) What is the probability that the adults fall at least one of these two groups ?
b) What is the probability that an adult in the city who watches a television program oriented to business and financial issues reads a publication oriented to these issues ?
c) Are the two events are statistically independent ? prove your answer .
Thank you .
Click here to see answer by stanbon(75887)

Question 317195: A survey of 144 retail stores revealed that the average price of a microwave was $375 with a standard error of $20

What is the 99% confidence interval to estimate the true cost of the microwave?
Click here to see answer by stanbon(75887)

Question 317453: Suppose that the percentage returns for a given year for all stocks listed on the New York Stock Exchange are approximately normally distributed with a mean of 12.4 percent and a standard deviation of 20.6 percent. Considering drawing a sample of n = 5 stocks. Find the mean and the standard deviation of the sampling distribution of X, and find an interval containing 95.44 percent of all possible sample mean returns.
I don't have any work to show because I have no idea where to start. I would appreciate any assistance you can give me. Thanking you in advance for your time and effort. Have a beautiful day.
Natasha j
Click here to see answer by stanbon(75887)

Question 317479: Find the variance of the binomial distribution with the given values.

n = 50
p = 0.9

Click here to see answer by JBarnum(2146)

Question 317479: Find the variance of the binomial distribution with the given values.

n = 50
p = 0.9

Click here to see answer by MathTherapy(10549)

Question 317523: three man are seeking public office. candidates a and b are given about the same chance of winning, but candidate c is given twice the chance of either a or b.
a) what is the probability that c wins?
b) what is the probability that a does not win?
Click here to see answer by stanbon(75887)

Question 317572: The letters of the word Mississippi are placed in a hat. What is the probability that the first two letters drawn are both i if the first letter drawn is not replaced?
Click here to see answer by stanbon(75887)

Question 317569: P( -1.8 < Z < 0.90)?

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Question 317478: Sixty percent of children say that chocolate chip is their favorite cookie. Fifteen children are selected at random and are asked each to name his or her favorite cookie. Find the binomial probability that the number who say chocolate chip is their favorite cookie is at least 13 children.
Click here to see answer by stanbon(75887)

Question 317637: We want to form a license plate using 4 letters (A-Z) followed by 3 numbers (0-9). Both may be used more then once. A license plate is chosen randomly. What is the probability that the letter A is not used?
Click here to see answer by stanbon(75887)

Question 317645: Find the missing probability value in the following probability distribution.

x 1 2 3 4
P(x) 0.28 0.43 0.19 ?

Click here to see answer by stanbon(75887)

Question 317646: List the values of n, p, and q in the following binomial experiment.

According to a survey, seventy percent of vacationers in the Southeast prefer to vacation in Florida each summer. You randomly select 20 vacationers in the Southeast and ask if they prefer to vacation in Florida each summer.
Find n.
Find p.
Find q.
Click here to see answer by stanbon(75887)

Question 317717: Decide whether the random variable x is discrete or continuous.

x represents the minutes spent exercising in a week.
would this be cotinuous
Click here to see answer by stanbon(75887)

Question 317716: Decide whether the random variable x is discrete or continuous.

x represents the inventory of milk at a grocery store.

Click here to see answer by stanbon(75887)

Question 317779: Please, please and thx in adv. I have been studying for almost 4 days already for my algebra exam. I can't figure these problem out. Please help.
1) At a local college 55% of the students are female and 45% are male. Also 40% of the female students are education majors and 15% of the males are education majors.
a) what are the probability a student selected at random is male and education major?
b) what are the probability a student selected is an education major?
c) what are the probability a student is female given the person is an education major?
2) E and F are independent events. Find P(E) if P(EUF) = 0.6 and P(F)= 0.1.
3) At the college of Old Westbury, 20% of the students majors and the rest major in something else. Although 70% of the students majors take finite mathematics, only 10% of the other majors take finite mathematics. A student is chosen at random. She is taking finite mathematics. What is the probability she is a business major?
4) A lung cancer test has been found to have the following reliability. The test detects 85% of the people who have cancer and does not detect 15% of these people. Among the noncancerous group it detect 92% of the people not having cancer, whereas 89% of this group are detected erroneously as having lung cancer. Statistics show that about 1.8% of the population has ling cancer. Suppose an individual is given the test for lung cancer and it detected his disease. What is the probability that the person actually has lung cancer?
5) Shrimp are priced by size; the larger the shrimp, the more expensive the cost. Jumbo shrimp have 9 shrimp to the pound with a standard deviation of 0.75 shrimp. What is the probability that a pound of jumbo shrimp contains fewer than 8 or more than 10 shrimp?
6) Compute the Z-score for the data point X, using the given population mean and standard deviation.
� = 32, σ = 13, x = 10
7) Calculate the area under the normal curve.
Between Z = -1.5 and Z = 0.34
8) Bob got an 89 on the final exam in mathematics and a 79 on the sociology exam. In the mathematics class, the average grade was 79 with a standard deviation of 5, and in the sociology class the average grade was 72 with a standard deviation of 3.5. Assuming that the grades in both subjects were normally distributed, in which class did Bob rank higher?
9) From past experience a teacher knows that the test scores of students taking an examination have a mean of 75 and a variance of 25. What can be said about the probability that a student will score between 65 and 85?
Please show me the steps this way I can learn them too. Thank you.

Click here to see answer by stanbon(75887)

Question 317796: Salutations to all of you wonderful tutors who have wonderful math genes and don't mind sharing them, I wish I did, I sure would help as much as I could. I would like to know if anyone has help to offer with "The Trash Bag Problem"? The mean of the sample of 40 trash bags breaking strengths is x(bar) = 50.575. Thanking you in advance for any assistance with this.
Natasha j
Click here to see answer by stanbon(75887)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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