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Question 1036440: How do I find the variance and the standard deviation in this problem?
I know the range is 11 and the mean is 16.2..
The ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean, variance, and standard deviation of the sample data set.
12, 17, 23, 13, 14, 17, 20, 16, 15, 15
The variance is...
The standard deviation is...
Click here to see answer by Boreal(15235)

Question 1036371: Bag A contains 3 red marbles and 2 green marbles. Bag B contains 5 green marbles only. one marble is randomly drawn from A and put into bag B.then one marble is randomly drawn from bag B.find the probability that the marble drawn from bag Bis
a. red
b. green

Click here to see answer by robertb(5830)

Question 1036418: According to a survey, 44% of hospitals report that their wireless networks have gone down at least once in the last year. A random sample of 100 hospitals is chosen. If 56 hospitals from the sample reported that their wireless networks have gone down at least once in the last year, would this be an unusual result? Explain.
P= .44 n = 100
np(1-p)=100 (.44)(1-.44)=24.64≥10
Empirical Rule applies.
Mean = �x=np=(100 (.44)=44
Std Dev = σx √np (1-p)= √(100(.44)(.56) )≅24.64
= √24.64=4.96
μ-2σ=44-2(4.96)=34.08
μ+2σ=44+2(4.96)=53.92
No, because the Std. Dev. 34.08 and 53.92 fall within the 2 standard deviation below and above the mean and it is not less than 5%.

Click here to see answer by robertb(5830)

Question 1036404: In a random sample of 5,000 exams, the average score was 500 points with a standard deviation of 90 points.
Find the probability that the true mean is between 495 and 500.
Click here to see answer by Boreal(15235)

Question 1036402: In a random sample of 800 refreshment-dispensing machines, it is found that an average of 8.1 ounces is dispensed with a standard deviation of 0.85 ounce.
Find the probability that the true mean is between 8.157 and 8.185. Round your answer to the tenths place.
Click here to see answer by Boreal(15235)

Question 1036355: If the probability of passing a road test on the first try is 62%, what is the mean, variance and standard deviation if there are 54 people taking the road test?
Click here to see answer by Boreal(15235)

Question 1036489: Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see?
A. 8
B. 6
C. 5
D. 4
Click here to see answer by stanbon(75887)

Question 1036516: i am really not sure how to go about this question ,i've tried it out using factorial but i still don't get it ,
How many people must be in a room so that with probability greater than 0.6, two of them have been born on the same day of the week?
Thanks

Click here to see answer by Edwin McCravy(20054)

Question 1036525: Hi could you please help with this question , i have attempted to try solving it and i got 12 but i am not entirely sure if i did it right
there are three cages arranged in a row. In how many ways can one put a lion, a sheep, and a cow into these cages so that no animal gets eaten?
Thanks
Click here to see answer by Alan3354(69443)

Question 1036511: Hi , im really not sure about how to go about and solve this question, i tried it and i got 3C3 * 3! *6! where 3C3 is the 3 blanks filling in with 3 boys , 6! ways to seat the girls and 3! due to order importance, could you please help me with the question
1) In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit next to each other?
Thanks
Click here to see answer by robertb(5830)

Question 1036517: Find the probability of getting exactly 8 girls in 10 births.
Click here to see answer by robertb(5830)

Question 1036505: The distribution of B.A. degrees conferred by a local college is listed below, by major.
Major Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering 868
9313
What is the probability that a randomly selected degree is not in Business?

A. 0.7800
B. 0.8200
C. 0.8300
D. 0.9200
Click here to see answer by robertb(5830)

Question 1036504: A 28-year-old man pays $125 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the man�s expected value for the insurance policy?
A. $139,916
B. −$41
C. $84
D. −$124
Click here to see answer by robertb(5830)

Question 1036519: Multiple choice Quiz (Binomial Formula)
Angel has just been a 10-question multiple choice quiz in his Statistics class. Each question has 4 answers,of which only one is correct. Since Angel has not attended class recently, he dosent know any of the answers, assuming that Angel guesses on all 10 questions, find the indicated probabilities.
A)what is the probability that he will answer 7 questions correctly?
B) what is the probability he will answer all questions correctly?
C) what is the probability he will answer all questions incorrectly?
D) what is the probability he will answer at least half the questions correctly.
E) what is the probability that he will get 80% on this quiz?
Click here to see answer by robertb(5830)

Question 1036478: There three cages arranged in a row. how many ways can you put a tiger, a monkey, and a koala into these cages so that no animal gets eaten , (the monkey and koala can also go into one cage as they wont be eaten)

Click here to see answer by robertb(5830)

Question 1036492: In a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth.
Click here to see answer by robertb(5830)

Question 1036518: Suppose there are 16 balls in a urn. They are identical except for color. 5 balls are red and 4 are blue and 7 are yellow. You are interested to draw out one ball, note its color, and set it aside. Then you are to draw another ball and note its color.
A) what are the outcomes of the experiment?
B) What is the probability of each outcome?
Click here to see answer by Edwin McCravy(20054)

Question 1036564: A researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of $30. Past studies suggest that a population standard deviation of $248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.
A. 274
B. 284
C. 264
D. 272
Click here to see answer by Boreal(15235)

Question 1036563: Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.
chocolate bar - chocolate bar
licorice stick - chocolate bar
banana - banana
chocolate bar - licorice stick
licorice stick - licorice stick
chocolate bar � banana
banana - licorice stick
licorice stick - banana
banana - chocolate bar
Find the probability that no chocolate bar was eaten.
A. 4/9
B. 5/9
C. 7/9
D. 5/8
Click here to see answer by Boreal(15235)

Question 1036634: What is the probability that a normal random variable has an outcome within 2 standard deviations of the mean?
Click here to see answer by solver91311(24713)

Question 1036633: A single die is rolled 18 times.
What is the probability that a six is rolled exactly once, if it is known that at least one six is rolled?
Click here to see answer by solver91311(24713)

Question 1036332: You bet $7 on a local race being held for charity. The payoff odds given by the charity event are 12:1. Find your net profit for winning your bet in the race.
Click here to see answer by Aldorozos(172)

Question 1036772: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the
A newspaper finds that the mean number of typographical errors per page is six. Find the probability that (a) exactly five typographical errors are found on a page, (b) at most five typographical errors are found on a page, and (c) more than five typographical errors are found on a page.
Click here to see answer by Boreal(15235)

Question 1036769: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.53 Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland.
Click here to see answer by Boreal(15235)

Question 1036783: In a test of the effectiveness of garlic for lowering cholesterol, 45 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/dL) have a mean of 3.4 and a standard deviation of 18.3.
Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?
What is the confidence interval estimate of the population mean μ?
Thank You for your help.
Click here to see answer by Boreal(15235)

Question 1036867: An electronic circuit consists of two blocks: head block and tail block working independently. Probability that head block works properly is 0.8 and probability that tail block works properly is 0.9
Click here to see answer by ikleyn(52756)

Question 1036879: in a class of 30 students, 3/5 of the class are girls, and 2/5 of the class have black hair, and 1/5 of the girls are girls with black hair. if one student is to be chosen at random from the class, what is the probability that the student is a girl with black hair?
Click here to see answer by ikleyn(52756)

Question 1036903: There are 5 black marbles, 2 yellow marbles , 1 blue marble and 4 red marbles in a bag. you select 2 marbles without replacement. what is the probability that both marbles are black?
Click here to see answer by Boreal(15235)

Question 1036907: Jordan is buying 2 goldfish from the store. the aquarium has 6 solid orange goldfish and 8 spotted fish what is the probability that jordan selects 2 spotted fish?
Click here to see answer by Boreal(15235)

Question 1036934: At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the balloons you break are purple?

Click here to see answer by stanbon(75887)

Question 1036940: an investor bought 1,500 shares of a stock for $6 a share. He estimates the probability that the stock will rise to a value of $25 a share is 24%, and the probability it will fall to $2 a share is 76%. What is the expected value of the investor's profit from buying the stock?
Click here to see answer by jorel555(1290)

Question 1036915: Jordan is buying 2 goldfish from the store. the aquarium has 6 solid orange fish and 8 spotted fish what is the probability that Jordan selects 2 spotted fish?
Click here to see answer by jorel555(1290)

Question 1036957: A normal population has a mean of 20 and a standard deviation of 4.

a. Compute the z value associated with 24. (Round your answer to 2 decimal places.)

Z

b.
What proportion of the population is between 20 and 24? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

Proportion

c.
What proportion of the population is less than 15? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

Proportion

Click here to see answer by Boreal(15235)

Question 1037064: At a baby shower, 15 guests are in attendance and 3 of them are randomly selected to receive a door prize.
Question: If all 5 prizes are different, in how many ways can the prizes be awarded?
I came up with 5x5x5=125 or 5^3 am I doing this right?
Click here to see answer by Theo(13342)

Question 1037032: The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,450. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 570 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last.

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time? (Round z value to 2 decimal places. Round your answer to the nearest whole number.)

Pages

Click here to see answer by Theo(13342)

Question 1037031: Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $3,985 per hour and a standard deviation of $440.

What is the operating cost for the lowest 2% of the airplanes? (Round z value to 2 decimal places and round final answer to nearest whole dollar.)

Operating cost $

Click here to see answer by stanbon(75887)

Question 1037090: I am lost on probability and don't understand it.
" A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 4. "
Click here to see answer by Edwin McCravy(20054)

Question 1037035: To estimate the percentage of defects in a recent manufacturing batch, a quality-control manager selects every twentieth widget that comes off the assembly line, starting with the tenth, until he obtains a sample of sixty widgets.
What type of sampling method is used?
Click here to see answer by Theo(13342)

Question 1037034: A population consists of the following five values: 11, 14, 16, 18, and 21.

a.
List all samples of size 3, and compute the mean of each sample. (Round your mean value to 2 decimal places.)

Sample Values Sum Mean
1 (Click to select)11, 14, 1611, 16, 1811, 16, 2111, 18, 21
2 (Click to select)11, 14, 1811, 14, 1611, 14, 2111, 16, 18
3 (Click to select)11, 14, 2111, 14, 1611, 14, 1811, 16, 18
4 (Click to select)11, 16, 1814, 16, 1811, 14, 1814, 18, 21
5 (Click to select)11, 16, 2111, 14, 1611, 14, 1811, 14, 21
6 (Click to select)11, 18, 2111, 14, 1611, 14, 1811, 14, 21
7 (Click to select)14, 16, 1811, 14, 1614, 11, 1811, 14, 21
8 (Click to select)14, 16, 2114, 16, 1814, 16, 1114, 11, 16
9 (Click to select)14, 18, 2114, 18, 1614, 11, 1814, 11, 16
10 (Click to select)16, 18, 2116, 18, 1116, 18, 1416, 11, 18

b.
Compute the mean of the distribution of sample means and the population mean. (Round your answers to 2 decimal places.)

Sample means
Population mean

Click here to see answer by ikleyn(52756)

Question 1037128: A teacher has 7 textbooks to arrange on a shelf.
If the textbooks are arranged at random, what is the probability that the textbooks will be arranged in alphabetical order? Enter your answer as a decimal.
I am confused if this a Permutation or Combination. How do I set this up?
Click here to see answer by ikleyn(52756)

Question 1036954: The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.

Admissions Probability
1,060 0.5
1,400 0.1
1,620 0.4

1.
What is the expected number of admissions for the fall semester?

Expected number of admissions

Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)

Variance
Standard deviation

Click here to see answer by robertb(5830)

Question 1037170: a teacher has 40 learners in her class she chooses 1% of them to clean her board.is this possible?explain your answer
Click here to see answer by Alan3354(69443)

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, 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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, 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