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Question 1009884: A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8 oz cup. The standard deviation of the amount of coffee dispensed is .4 oz.
a. Find the percent the machine will dispense from 7.4 oz to 7.7 oz.
b. Dispense less than 6.9 oz
I have it figured out that from 7.6 to 7.2 on the bell shaped curve is 34% but when I tried to add it up I couldn't go any where. i also got a probable answer of 12.75% for a. Please help!
Click here to see answer by stanbon(75887)

Question 1009904: What is probability that a one mother will have 7 baby girls out of 7 babies?
Click here to see answer by Alan3354(69443)

Question 1009900: Abby put an X through 7 of the 28 days in this month. Abby put an X through how many days.
Click here to see answer by Alan3354(69443)

Question 1009899: Three cases of 24 cans each is the same number of cans as twelve boxes of
how many cans each?
Click here to see answer by ikleyn(52752)

Question 1009918: X,0,1,2, 3, 4, 5,6
Pr(X), 0.1, 0.1, 0.2, 3c, 0.1, c, 0.1
Find c.
Find the expected number of requests.
Calculate the standard deviation.
Click here to see answer by Boreal(15235)

Question 1009917: A university claim that their mean size class is no more than 32 students. To test this claim, one randomly selects 18 classes and determines the size of each. The results are here 35, 28, 29, 33, 32, 40, 26, 25, 29, 28, 30, 36, 33, 29, 27, 30, 28, 25. At a = 0.01, can one support the university's claim?
Click here to see answer by rfer(16322)

Question 1009937: Use the standard normal table to find P(z ≤ 0.15)

Find the area under the standard normal curve to the left of z = 1.73. This may also be stated as P(z < 1.73).
Click here to see answer by Boreal(15235)

Question 1009916: A gas grill manufacturer claims that the mean for their grills is less than $615. Based on a random sample of 32 gas grill having a mean price of $630.90 and a standard deviation of $56.70. Can you support the claim at a = 0.05
Click here to see answer by Theo(13342)

Question 1009995: Can someone please help?
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 185 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted.
Probability that fewer than 46 voted
The probability that fewer than 46 of 185 eligible voters voted is _____.
(Round to four decimal places as needed.)

Click here to see answer by stanbon(75887)

Question 1009992: 50 people are selected randomly from a certain population and it is found that 11 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall?
Click here to see answer by Boreal(15235)

Question 1010027: Please, help with this problem:
You carry six keys in your pocket, three of which are for the three locks on your front door. You lose one key. What is the probability that you can get into your house through the front door. I did find 5/12 but I 2nd guessed myself. Thank you.
Click here to see answer by macston(5194)

Question 1010051: Suppose a math class contains 33 students, 19 females (three of whom speak French) and 14 males (three of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.
Click here to see answer by Edwin McCravy(20054)

Question 1010184: Write the numbers in increasing order with
a comma separating each number.
2 1/2, 2.15, -2.25, 1 7/10, 1 2/5
Click here to see answer by fractalier(6550)

Question 1010221: For the normally distributed random variables, find the probabilities
1) P (x-bar > 2.5), if μ = 2.3, σ = 0.8, n = 50
2) P (x-bar < 3.1), if μ = 3.0, σ = 1.0, n = 100
Click here to see answer by mathmate(429)

Question 1010183: A store sells 12 different kinds of bathtubs. These data represent the maximum number of liters of water that the bathtubs will hold.
240
272
280
285
295
285
300
290
310
305
285
305
Compute the five-number summary for these data, Be sure to identify all outliers of the data set. Use the values of the upper and lower fences to explain your answer.

(I know the minimun is 240 & the Maximum is 310. the mean is 287.6)

Click here to see answer by mathmate(429)

Question 1010286: Past surveys reveal that 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor�s Bureau of Las Vegas wants to update this percentage. I got part a. I'm struggling with part b.

a.
The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size? (Round your answer to the next whole number.)

Answer: Sample size 5683

b.
The Bureau feels the sample size determined above is too large. What can be done to reduce the sample? Based on your suggestion, recalculate the sample size. (Hint: Use an allowable error in the range of 0.01 to 0.05) (Round your answer to the next whole number.)

Click here to see answer by Boreal(15235)

Question 1010299: A garment manufacturing company recorded the amount of time that it took to make a pair of jeans on 8 different occasions. The times in minutes are listed below. Assume these measurements were taken from a population with a normal distribution. It is of interest to know if the sample data suggest that the average time it takes this company to make a pair of jeans is less than 13.5 minutes. 12.5, 13.0, 11.9, 10.2, 13.1, 13.6, 13.8, 14.0 1. State the appropriate hypothese. 2. Compute the test statistic for the hypotheses in Part (1). 3. Does the sample data support the alternative hypothesis at the .10 level of significance? 4. Construct a 95% confidence interval for the mean amount of time it takes this company to make a pair of jeans
Click here to see answer by Boreal(15235)

Question 1009767: It is known that 10% of the items produced by a certain machine are defective. Find the probability that in a random sample of 900 items produced by this machine. A. At most 110 items will be defective. B. At least 82 items will be defective. C. Between 75 and 100 items inclusive will be defect.
Click here to see answer by mathmate(429)

Question 1009654: 5. A basketball player has an overall 60% average of success while shooting free
throws.
(a) After a foul, she gets ready to make two free throws. One of your students
says �she�s bound to make at least one of the two, since 2�60% > 100%�.
What is the problem with this argument? Explain.
(b) If each successful free throw is worth one point, what is the expected
number of points she�ll make after the foul?
Please help me understand the reasoning behind the solution
Click here to see answer by mathmate(429)

Question 1010360: You have 18 cookies in a box. 5 are oatmeal, 4 are sugar, 3 are peanut butter, and 6 are butter. Show your calculations in answering the questions.
A. Suppose you randomly choose a cookie, replace it, and randomly choose another. What is the probability that either the first cookie is butter or the second is oatmeal?
B. Suppose instead that you randomly choose a cookie, but you do not replace it. You then randomly choose another. What is the probability that either the first cookie is butter or the second cookie is oatmeal.
Click here to see answer by mathmate(429)

Question 1010417: 1.A 95% confidence interval for the mean of a normal population is found to be 17.6 < � < 23.6. What is the margin of error?
A. 2.0
B. 2.7
C. 3.0
D. 4.0
2.A 95% confidence interval for the mean of a normal population is found to be 13.2 < � < 22.4. What is the margin of error?
A. 4.6
B. 4.4
C. 4.2
D. 5.6
3.One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent.
The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 4.613, state your conclusion about the relationship between gender and colorblindness.
A.
Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.
B.
Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related.
C.
Do not Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related.
D.
Do not Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.
4.A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 8 times at the required speed.
Data from this test resulted in a sample mean of 163.2 yards with a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer�s requirements. Use the partial t-table below to solve this problem.
Area in one tail
0.025 0.05
Area in two tails
Degrees of
Freedom
n - 1 0.05 0.10
6 2.447 1.943
7 2.365 1.895
8 2.306 1.860
9 2.262 1.833
A.
Do not reject the null hypothesis. The data do not provide sufficient
evidence that the average distance is greater than 160 yards.
B. Reject the null hypothesis. The data does provide sufficient evidence that the average distance is greater than 160 yards.
C. t= 1.2334; Critical value = 1.992
D. Insufficient information to answer this question
5.Which of the following statements is true?
A. The t distribution cannot be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population.
B. The t distribution can be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population.
C. The p distribution can be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population.
D. The p distribution can be used when finding a confidence interval for the population mean with a small sample whenever the sample comes from a symmetric population.
Click here to see answer by stanbon(75887)

Question 1009677: Suppose 3 of the 12 bottles in a case of wine are bad. If you randomly select 2 bottles, what is the probability that both are good? Both are bad? One is good and one is bad?
Click here to see answer by mathmate(429)

Question 1009546: what are the odds of 1 person on a 15 member team being selected for random drug testing (10 % of team picked each Year) 4 years in a row
Click here to see answer by mathmate(429)

Question 1009208: Jenny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 8 different movie soundtracks in stock. How many different selections of movie soundtracks are possible?
Click here to see answer by fractalier(6550)

Question 1010581: To profitably produce a planned upgrade of a software product you make, you must charge customers $100. Are your customers willing to pay this much? You contact a random sample of 40 customers and find 11 would pay $100 for the upgrade. If the upgrade is to be profitable, you will need to sell it to more than 20% of your customers. Do the sample data give good evidence that more than 20% are willing to buy?
Include the following elements in your test.
Hypotheses (3 pts)
Model (4 pts) Note which condition is not met, but continue with the test anyway.
Mechanics (5 pts)
Conclusion (4 pts)

Click here to see answer by stanbon(75887)

Question 1010599: Please someone help!!
If we wish to have a 95% confidence interval, what would be the value of the confidence coefficient?
Click here to see answer by jim_thompson5910(35256)

Question 1010593: In a recent study, it was found that in one town the number of hours that a typical 10-year-old child watches television per week is normally distributed with a mean of 12 hours and a standard deviation of 1.5 hours. If Gary is a typical 10-year-old child in this town, what is the probability that he watches between 9 and 14 hours of television per week?
Click here to see answer by stanbon(75887)

Question 1010631: 67.5% of the us population were born in their state of residence. in a random sample of 200 americans find the probability that:
a) at least 175 were born in their state of residence
b) exactly 150 were born in their state of residence
Click here to see answer by mathmate(429)

Question 1010675: P(B)=.6 P(AUB)=.7 if a and b are independent find P(A)
Click here to see answer by fractalier(6550)

Question 1010600: HELP ME PLEASE?!
Consider a sample mean (xbar) of 46 calculated from a sample of size 51 drawn from a population of over 1000.
Would it be appropriate to use the standard score table to look up the probability of a standard (z) score calculated on these data? Why or why not?

Click here to see answer by Theo(13342)

Question 1010725: Betty's Bite-Size Candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 8 bags contain few than 47 candies. How any bags were probably taken as samples?
Click here to see answer by Boreal(15235)

Question 1010750: A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. Find P(red and blue). (Don't just tell me the answer, show me your work!)
Click here to see answer by mathmate(429)

Question 1010784: A wheel has 38 numbers, 1, 2, 3, . . . , 38. A player picks a number and bets $20. The wheel is spun, and if the player􏰀s number results, he or she is paid $700 (and gets to keep the $20 bet). If another number results, the house keeps the $20. Suppose a typical player bets on 60 spins per hour. What is the expected net gain per hour for the house on each player?
Click here to see answer by Boreal(15235)

Question 1010810: An NFL kicker has a 92% chance of making an extra point attempt. If Blaire Walsh attempts 52 extra points this season, what is the probability he will make exactly 45?
Click here to see answer by Boreal(15235)

Question 1010835: In how many different ways can a true-false test consisting
of 9 questions be answered?

Click here to see answer by Edwin McCravy(20054)

Question 1010865: I am solving this problem:
Suppose that you take all of the black cards out of a standard deck of 52 cards and throughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 2 cards, one at a time, without replacement, and record whether each card picked is a face card (king, queen, jack) or not a face card.
I would like to know: the probability that exactly one of the two cards picked is a face card, given that at least one card is a face card?
I know this is a conditional probability, but I am unsure how to go about solving because I don't know whether to treat the first pick as a face card, the second pick as a face card, or both.
Click here to see answer by stanbon(75887)

Question 1010864: I am solving this problem:
Suppose that you take all of the black cards out of a standard deck of 52 cards and throughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 2 cards, one at a time, without replacement, and record whether each card picked is a face card (king, queen, jack) or not a face card.'
I would like to know: what is the probability that none of the two cards picked in this way is a face card.
I know the equation is something like 20C2/26C2, but i do not know what "C2" stands for.
Thank you for any help you can provide!
Click here to see answer by stanbon(75887)

Question 1010783: Suppose you buy a raffle ticket in each of ten consecutive weeks in support of your favorite charity. One of the 1500 raffle tickets sold each week pays $1000. What do you expect to win for those 10 weeks, and with what standard deviation?
Click here to see answer by stanbon(75887)

Question 1010188: For the last several year,the population of Mexico has grown by 1.2%, each year. In 2012, their population was 20.8 million
A. Assuming the growth rate remains at 1.2%, write a formula for finding Mexico's population P in the given year, Y. Make sure you define what each of your variables mean.
B. Assuming the growth rate remains at 1.2%, what will mexico's population be in 2030
Click here to see answer by fractalier(6550)

Question 1009999: Answer the question based on the data in the table.
Shirt
Color Size
Large Medium Total
Red 42 48 90
Blue 35 40 75
Total 77 88 165
Question 3 of 44
If you pick a shirt at random from the given batch of 165 shirts, what is the probability that it is red and the size is medium?
Click here to see answer by fractalier(6550)

Question 1010875: suppose the mean weight of 32 ounce box of cereal is normally distributed with a mean of 32.2 ounces and standard deviation of 0.1 ounces.
A) what percentage of boxes will weigh more than 32.0 ounces, more than 32.2 ounces and between 31.0 and 32.2 ounces?
b) if one took random sample of 9 from these cereal boxes, what is the probability that the mean weight of nine sampled boxes would weigh less that 32.0 ounces
Click here to see answer by Boreal(15235)

Question 1010834: in a factory, 6% of the workers wear glasses. Suppose 20 workers are randomly selected. Find the probability of two workers wearing glasses, no worker wearing glasses, three or more workers wearing glasses
Click here to see answer by Boreal(15235)

Question 1010946: John purchases an office complex that contains 150 offices. Records show that in a recession year only 70% of the offices are rented. John needs at least 110 offices to be rented to breakeven. John has asked you to determine, what is the probability John will breakeven this recession?
Click here to see answer by mathmate(429)

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, 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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