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

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Question 362450: A fair die is tossed three times.What is the probability that, on at least two of thethrows, the face that appears on top is greater than 4?
Click here to see answer by stanbon(57224) About Me 

Question 362424: When I throw 2 independent sets of three six sided dice (red A) and (blue B) at the same time what is the (p) that a score of either 9 10 or 11 will end up be the highest sum total from either set.
Mike mantan







Click here to see answer by stanbon(57224) About Me 

Question 362292: am having problems understanding how to do the problem and I need to understand what steps needs to be done.
1.) Assume that the population of heights of male college students is approximately normally distributed with the mean of 69 inches and standard deviation of 3.75 inches. SHow all work.
(A). Find the proportion of male college students whose height is greater than 70 inches.
(B). Find the proportion of male college students whose heights is no more than 70 inches.



(2). Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 6.


(3). A set of data is normally distributed with a mean of 200 and standard deviation of 50.
*what would be the standard score for a score of 167?
*what percentage of scores is between 200 and 167?
*what would be the percentile rank for a score of 167?

Click here to see answer by stanbon(57224) About Me 

Question 362035: A TV special says there is a 10% incidence of sexually transmitted disease(STD)among all U.S. teens. A reporter fo the Rockville Bugle, looking for a story, surveyed 260 randomly chosen teenagers, and found that 39 had been to a clinic for STD treatment. Using a right tail test at a significance level of 0.05, the test statistic is:
A. 2.687
B. 2.758
C. 0.0256
D. 2.258

Click here to see answer by stanbon(57224) About Me 

Question 362004: Hello, Could you please help me with this problem.
1. Essay; show all work. The property restoration company PuroServ is considering switching to new dehumidifiers. Their market research, considering the cost of the new machines and their efficiency, tells them that the switch would give them a 96% chance of making a $20,000 profit, a 1% chance of breaking even, and a 3% chance of losing $5,000. How much money does PuroServ expect to make with their new purchase?
Thank you.

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Question 362568: y+9=z
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Question 362596: The seasonal output of an experimental strain of pepper plants is carefully weighed. The mean weight of peppers per plant is 15 pounds, and the standard deviation of the normally distributed weights is 1.75 pounds. What is the probability that the output from a randomly selected plant weighs between 13 and 16 pounds?
Click here to see answer by Fombitz(13828) About Me 

Question 362637: Julie walked 6 times as far as sylvia. If Sylvia walked 5 km, then how far did Julie walk?
Click here to see answer by rfer(12645) About Me 

Question 362698: I see where someone have asked the same question and it said that it had been answered but I could not find where it was answered. If it have been answered, can I be shown where; if not can it be answered for me?
1.) Assume that the population of heights of male college students is approximately normally distributed with the mean of 69 inches and standard deviation of 3.75 inches. Show all work.
(A). Find the proportion of male college students whose height is greater than 70 inches.
(B). Find the proportion of male college students whose heights is no more than 70 inches.



(2). Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 6.


(3). A set of data is normally distributed with a mean of 200 and standard deviation of 50.
*what would be the standard score for a score of 167?
*what percentage of scores is between 200 and 167?
*what would be the percentile rank for a score of 167?

Click here to see answer by stanbon(57224) About Me 

Question 362725: You have a coffee shop where you have averaged 50 cups of sales per hour with a standard deviation of 8 cups. Recently you did some advertising and now you want to see if the ads paid off. So you randomly sampled for 35 random hours and found that your sales went to 53 cups per hour. Use a one tail test and a 0.05 alpha to determine if the ads were worth the effort
Click here to see answer by stanbon(57224) About Me 

Question 362674: Hello, Can someone please review my answer to the following question. Please help me.
A person spins the pointer and is awarded the amount indicated by the pointer. Circle with left half $2.00 the upper right quarter is $12 and the lower right quarter is $5.00 and it cost $6 to play the game. There are only 3 part to the circle


It costs $6 to play the game. Determine:
These are my answers I am not sure they are right
• The expectation of a person who plays the game.
E(x) = (1/2)2 + (1/4)12 + (1/4)5
E = 1+3+1.25 =5.25

•My Answer:The fair price to play the game. Wheel
Fair price = 6/3 = 2.00

Click here to see answer by stanbon(57224) About Me 

Question 362601: The following are the lengths of stay (in days) for a random sample of patients discharged from a particular hospital:

13,9,5,11,6,3,3,3,3,9,9,9,5,5
Draw the histogram for these data using an initial class boundary of , an ending class boundary of , and classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints.

Click here to see answer by stanbon(57224) About Me 

Question 362594: Albert and Elsie operate a very large and very busy U-pick strawberry patch. The mean number of quarts picked per day by the customers is 2100, with a standard deviation of 250. The distribution is normal. What is the number of quarts that separates the slowest 3% of the days from the other 97% of the days?
Click here to see answer by stanbon(57224) About Me 

Question 362591: Histograms for grouped data
Below are the times (in days) it takes for a sample of customers from Jack's computer store to pay their invoices.
19,15,43,39,35,31,27,22,18,26,26,21,21,21,17,17,13,13,41

Draw the histogram for these data using an initial class boundary of and a class width of . Note that you can add or remove classes from the figure. Label each class with its endpoints.

Click here to see answer by stanbon(57224) About Me 

Question 362531: A digital camcorder repair service has set a goal not to exceed an average of 5 working days from
the time the unit is brought in to the time repairs are completed. A random sample of 12 repair
records showed the following repair times (in days): 9, 2, 5, 1, 5, 4, 7, 5, 11, 3, 7, 2. At α = .05 is
the goal being met? Repair

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Question 362814: Teenagers make up a large percentage of the market for clothing.
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Question 362827: According to a report in USA Today, only 3.2% of all product coupons are reimbursed.
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Question 362829: An automatic filling machine fills bags of potato chips with 32 ounces of chips. How many pounds is this?
Click here to see answer by Manny Pacquiao(82) About Me 

Question 362830: It is known that 28% of American adults claim to be able to play a musical instrument. what is the percentage of that of the entire us.
Click here to see answer by Manny Pacquiao(82) About Me 

Question 362856: A baseball player has a batting average of 0.38. What is the probability that he has exactly 4 hits in his next 7 at bats?

Click here to see answer by robertb(4012) About Me 

Question 362858: A binomial distribution has a mean of 12 and a standard deviation of 2.683. Find n and p.
np=12 sqrt+of+npq+is+2.683 2.683%2F12=.22358333 1-.22358333=.7764 p=+.7764 np=12 n%28.7764%29=12 12-.7764=11.2236 n=11.2236 I'm not sure if this is right.

Click here to see answer by jim_thompson5910(28476) About Me 

Question 362855: A quiz cosists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 40 %
Click here to see answer by robertb(4012) About Me 

Question 362865: State the null hypothesis, H , and the alternative hypothesis, Ha, that would be used for a hypothesis test for each of the following statements:
a. The mean age of the youths who hang out at the mall is less than 16 years.
b. The mean height of professional basketball player is greater than 6’6”.
c. The mean elevation drop for ski trails at eastern ski centers is at least 285 feet.
d. The mean diameter of the rivets is no more than 0.37 inches.
e. The mean cholesterol level of male college students is different from 200 mg/dl.

Click here to see answer by robertb(4012) About Me 

Question 362868: A manufacturer of desks has made 200 per week for the last year with a standard deviation (σ) of 16. Recently, a manufacturing change was made and now production is at 205 desks per week for the 50 randomly sampled days. Determine, at the 0.01 level of significance (α) using a 1 tail test if the change made any difference.
Click here to see answer by stanbon(57224) About Me 

Question 362835: It is estimated that 60% of all college graduates find a job in their chosen career field within one year of graduation. If six college graduates from the year 2009 are chosen at random, let x be the number who found a job within one year.
I have calculated the probabilities as follow: P(0) .004, P(1) .037, P(2) .138, P(3) .276, P(4) .311 P(5) .187 P(6) .047
a) what is the probability that fewer than 4 found a job in their field? I think it is .455
b) what is the probability that all of them found a job in their field? I think it is 1
c) Compute the mean, the expected number of job seekers (round to the appropriate whole number) I think it is 4 people
d) Compute the standard deviation of the number of successful job seekers. I think it is either 1.2 or 1.27
Any help with the doublechecks would be great. Thanks!

Click here to see answer by stanbon(57224) About Me 

Question 362939: Hello, Can someone please check my answer. Thank you.
Essay; show all work. A community 5K run will award $50 to the winner. 80 people enter the race, and they each pay an entry fee of $20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent.
E = 50
E = 50-20 = 30
Fair price for the competition
To make the game "fair", the community should only
charge $2.67 to play the game.



Click here to see answer by edjones(7569) About Me 

Question 362984: 4. Information about mutual funds provided by Morningstar Investment Research includes the type of mutual fund (Domestic Equity, International Equity or Fixed Income) and the Morningstar rating for each fund. The ratings is expressed from a 1-star (lowest rating) to a 5-star (highest rating). A sample of 25 mutual funds was selected from the Morningstar Funds 500 and the following information was obtained:
• Sixteen funds were Domestic Equity
• Thirteen mutual funds were rated 3-star or less
• Seven of the Domestic Equity fund were rated 4-star
• Two of the Domestic Equity funds were rated 5-star
Assume that one of these 25 mutual funds will be randomly selected in order to learn more about the mutual fund and its investment strategy.
a. What is the probability of selecting a Domestic Equity Fund?
b. What is the probability of selecting a fund with a 4 or 5-star rating?
c. What is the probability of selecting a fund that is both a Domestic Equity Fund and a fund with a 4 or 5-star rating?
d. What is the probability of selecting a fund that is a Domestic Equity Fund or a fund with a 4 or 5-star rating?

Click here to see answer by edjones(7569) About Me 

Question 363022: What is the probability of getting a 2 or 12 when tossing two ordinary 6 sided dice?
Is it 1 out of 36 or 2 out of 36?

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Question 363021: It is known that 28% of American adults claim to be able to play a musical instrument. If twelve American adults are selected at random, what is the probability that MORE than half of them DO NOT play an instrument? Would you be willing to assit with this please? I have an answer of .2254 and wasn't sure if it was correct.

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Question 363042: A salesman sells a car to one out of 20 customers. What is the probability that he will sell two out of three cars?
Click here to see answer by Theo(3458) About Me 

Question 363026: * The probability that a projector will have a defective lens is 0.12, the probability that it will have a crack defect is 0.29, and the probability that it has both defects is 0.07.
iii) What is the probability that a newly manufactured projector has exactly one of the two defects?

Click here to see answer by Theo(3458) About Me 

Question 363043: The mean amount spent by a family of four on food per month is $500, with a standard deviation of $75. Assuming that food costs are normally distributed, what is the probability that a family spends less than $410/month?
Click here to see answer by ewatrrr(10682) About Me 

Question 363023: An English quiz contained two multiple choice questions that had three choices and five multiple choice questions with five choices. How many different ways is it possible to complete this test?
I have 28,125 and wanted to make sure this is correct. Got the answer by 3^2*5^5 = 28,125

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Question 363020: An automatic filling machine fills bags of potato chips with 32 ounces of chips. The population deviation is 2 ounces. Convert weights of 31 ounces and 35 ounces to z-scores and sketch the graph of the weight distribution on a bell curve with weights of 31 and 35 indicated on the graph.
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Question 363074: Hello, Can someone please check my work.
Essay; show all work. A simple dartboard has three areas… the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches. What is the probability of a random dart landing inside the bullseye. Here is my Answer:
Find the Area of Bull’s-eye
A = pi *r^2 Start with the area of a circle formula.
A = pi*(2)^2 we plug in r=2
A = 3.14159*(2)^2 we replace pi with 3.14159 ( since pi is approximately 3.14159
A = 3.14159*(4) we square 2 to get 4
A=12.56636 we multiply 3.14159 and 4 to get 12.56636
So the area of the bull’s-eye with a radius of 2 units is roughly 12.56636 square units, the nearest thousandth.
Area of a whole board

A = pi * r^2 Start with the area of a circle formula.
A = pi * (15)^2 we plug in r=15
A = 3.14159*(15)^2 We replace pi with 3.14159 (since pi is approximately 3.14159)
A = 3.14159*(225) Square 15 to get 225.
A=706.85775 Multiply 3.14159 and 225 to get 706.85775
So the area of the circle with a radius of 15units is roughly 706.85775 square units.
CHANCE FOR A BULL'S EYE. 12.56636/706.85775 =0.017778 square units

Click here to see answer by Fombitz(13828) About Me 

Question 363019: The question was According to USA today, only 3.2% of all product coupons are redeemed. If a company distributes 15,000 coupons, what is the probability that:
a) more than 500 will be redeemed
b) fewer than 450 will be redeemed

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Question 363075: 10. Used CDs make up 41.3% of a music store’s stock. If the store has a total of 1000 CDs, estimate the number of used CDs in stock.
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Question 362457: 1).a set of 50 data values has a mean of 40 and a variance of 25.
a). Find the standard score (z) for a data value = 47.
b). Find the probability of a data value >47.

(2). Find the area under the standard normal curve:
I. to the right of z = 1.83
II. to the left of z = 1.83

Click here to see answer by ewatrrr(10682) About Me 

Question 363004: sixty three percent of adult in United States rent movie at least once a month. Consider a random simple of five adult Americans who were asked if they at least rent one movie per month.
A)what is the probability of five adults in our sample rents movies on a monthly basis?
B)what is the probability of one or more of our sampled adults do not rent movies at least once a week?

Click here to see answer by stanbon(57224) About Me 

Question 363122: 7 blue cards 2 red cards 7 green cards what's the probability of choosing a green or blue card
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Question 363148: a family has seven children. find the probability that the family will contain exactly 3 girls
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Question 363235: This question was answered for me before but i didn't understand the answer at all.
It is known that 28% of American adults claim to play a musical instrument. If twelve American adults are chosen at random, what is the probability that:
a. none of them play and instrument?
b.fewer than five of them play an instrument?
c. more than five of them play an instrument?
d.more than half of them do not play an instrument?

Click here to see answer by solver91311(16868) About Me 

Question 362001: Hello ewatrrr(965)
There are only 3 space on the wheel 1/2 in blue value $2.00 and the other two are quaters with the upper half $12 and the lower half is $5.00 it cost $6.00 to play

Hello, Can you please help me.
A person spins the pointer and is awarded the amount indicated by the pointer. Circle with left half $2.00 the upper right quarter is $12 and the lower right quarter is $5.00 and it cost $6 to play the game. I can not post the picture.
• The expectation of a person who plays the game.

• The fair price to play the game.
Show your work for full credit.
Thank you,
Confused
Answer by ewatrrr(965) About Me (Show Source):
You can put this solution on YOUR website!


Hi
how many spaces on the wheel are there?

Click here to see answer by daznino(1) About Me 

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195