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Question 1136478: I need help solving the following question with a calculator and how to type it in
A population of values has a normal distribution with μ=103.4 and σ=63
You intend to draw a random sample of size n=242.
Find P52, which is the mean separating the bottom 52% means from the top 48% means.
P52 (for sample means) =

Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by Theo(13342)

Question 1136475: I need help solving the following question with a calculator and how to put it in the calculator
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 254.5-cm and a standard deviation of 1.7-cm. For shipment, 15 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is greater than 255.2-cm.
P(M > 255.2-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Click here to see answer by MathLover1(20849)

Question 1136592: Among 60-year-old college professors, 5% are smokers and 95% are non-smokers. The
probability of a non-smoker dying in the next year is 0.005 and the probability for smokers is
0.05. Given that one of the group of college professors dies in the next year, what is the
conditional probability that the professor is a smoker? Set up both a sample space and probability measure.
Click here to see answer by ikleyn(52752)

Question 1136595: Bowl A contains 4 red chips and 6 green chips. Bowl B contains 7 red chips and 3 green chips. A chip is selected at random from Bowl A and is placed in Bowl B. Subsequently, a chip is selected at random from Bowl B. What is the probability it is a red chip? Set up both a Sample Space and a probability measure.
Click here to see answer by greenestamps(13195)

Question 1136593: A die is weighted so that the even number outcomes are twice as likely as an odd outcome. When the die is tossed each odd outcome is equally likely and each even outcome is equally likely. Find the probability that a 1 or 2 is tossed. Create a sample space and probability measure for this process.
Click here to see answer by greenestamps(13195)

Question 1136601: Let X be a continuous random variable whose values lie in [-1,1]. The probability density
function is What must the value of k be?
Click here to see answer by ikleyn(52752)

Question 1136602: Let X be a continuous random variable whose values lie in [-1,1]. The probability density
function is What must the value of k be?
Click here to see answer by ikleyn(52752)

Question 1136591: Let X be a discrete random variable whose values lie in {0, 1, 2, ...} with probability mass
function . Find P(X ≤ 2) and P(X > 2).
Click here to see answer by Saffana(5)

Question 1136604: Let X and Y represent continuous random variables. Let
For -1 < x < 1 and −1 < y < 1 and 0 otherwise.
Can f(x,y) be a joint density function for X and Y. If so, explain why. If not, explain why not.
Click here to see answer by ikleyn(52752)

Question 1136605: Let X be a discrete random variable whose values lie in {0, 1, 2, ...} with probability mass function . Find P(X ≤ 2) and P(X > 2)
Click here to see answer by ikleyn(52752)

Question 1136603: Let X and Y represent discrete random variables with for x ∈ {1,2,3} and y ∈ {1,2}. Compute P(X = 1 and Y = 2) and P(X +Y = 4).
Click here to see answer by ikleyn(52752)

Question 1136607: Let X be a continuous random variable with probability density function Find P(-1 < X < 1). [Hint: You may want to use a CAS to evaluate this.]
Click here to see answer by jim_thompson5910(35256)

Question 1136552: Credit derivatives are a new kind of investment instrument. if such an investment offeres be ABN Amro has a 90% chance of making money , another by AXA has a 75% chance of success, and one by theING Group has a 60% chance of being profitable, and the three are independent of each other, what is the chance that at least one investment will make money? Thank you so much for your help.
Click here to see answer by Theo(13342)

Question 1136632: Set up and solve the required proportion.
The diagonal of a cube varies directly with the length of a side. Find the constant of proportionality.
Click here to see answer by rothauserc(4718)

Question 1136550: According to a Gallop poll, 27% of American adults have confidence in banks. Suppose that you
interview 5 American adults at random.
(a) What is the probability that 2 or fewer have confidence in banks?
(b) What is the probability that no one had confidence in banks?
(c) What is the probability that 3 or more have confidence in banks?
Click here to see answer by Boreal(15235)

Question 1136620: Let X be a continuous random variable. Can the function for x > 0 and 0 otherwise be its probability density function? If so, state why. If not, explain why not.
Click here to see answer by Edwin McCravy(20054)

Question 1136622: The time X in months until failure of a certain product has a probability density function of https://i.gyazo.com/8c054188451da18fcdc1c3919fea6bf2.png
for x > 0 and 0 otherwise. Find the cumulative distribution and the median
value of X.
Click here to see answer by jim_thompson5910(35256)

Question 1136638: What is the probability of getting seven or fewer people identifying as minorities out of a pool of 90
Click here to see answer by ikleyn(52752)

Question 1136352: A box contains 7 plain pencils and 5 pens. A second box contains 2 color pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected?
Click here to see answer by greenestamps(13195)

Question 1136419: In a recent year, the ACT scores for high school students with an A or B grade point average were normally distributed with a mean of 24.2 and a standard deviation of 4.2. A student with an A or B average who took the ACT during this time is selected.
Find the probability that a student’s ACT score is less than 21 or more than 33.
Click here to see answer by Theo(13342)

Question 1136666: 3.An electrical company claims that the average life of the bulbs it manufactures is 1200 hours with a standard deviation of 250 hours. If a random sample of 100 bulbs is chosen,
Click here to see answer by ikleyn(52752)

Question 1136659: The "spinner" is spun twice to determine a two digit number. Find the
probabilities. You may want to write out the Sample Space. the spinner has the numbers 123
Click here to see answer by Alan3354(69443)

Question 1136713: Let X be a continuous random variable. Can the function f(x) = 2^(-x) for x > 0 and 0 otherwise be its probability density function? If so, state why. If not, explain why not.
Click here to see answer by greenestamps(13195)

Question 1136707: An ordinary (fair) die is a cube with the numbers
through
on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
: The sum is greater than 8.
.
Event
: The sum is an even number.
Click here to see answer by greenestamps(13195)

Question 1136742: a human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is .95. If we take a random sample of 3 employees, what's the probability that none of them arrive on time?
Click here to see answer by Theo(13342)

Question 1136747: 2. A salesperson contacts ten potential customers. From past experience, we know that for each potential
customer, the probability of them making a purchase is .10.
[1] a. What is the probability the salesperson will make exactly one sale?

[1] b. What is the probability of making no sales?

[1] c. What is the probability the salesperson will make at least one sale?

[1] d. What is the expected number of sales?

[1] e. What is the standard deviation for the number of sales?

Click here to see answer by Boreal(15235)

Question 1136741: a human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is .95. If we take a random sample of 3 employees, what's the probability that at least one of them arrive on time ?
Click here to see answer by Boreal(15235)

Question 1136740: a human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is .95. If we take a random sample of 3 employees, what's the probability that all of them arrive on time?
Click here to see answer by ikleyn(52752)

Question 1136791: Suppose that five uniquely colored dice, each with four numbered sides, are rolled. How many different outcomes are possible for the set of dice?
Click here to see answer by ikleyn(52752)

Question 1136795: The percent of sciences students (other than students in Mathematics and Statistics) who are doing a minor in statistics is 20%. If 300 students are selected, what is the approximate probability that
A.[7] more than 150 are taking a minor in statistics? B.[5] between 40 and 70 are taking a minor in statistics? C.[6]exactly 50 are taking a minor in statistics?
Click here to see answer by Theo(13342)

Question 1136800: Suppose that you work for a newly restructured automotive company with nearly 100,000 employees. You are in charge of purchasing engines from an overseas supplier. Company policy is that you purchase several hundred engines each month to be placed into cars on the assembly line.
Your overseas supplier of engines guarantees that 10% of the new engines shipped to you will have minor oil leaks that will require a slight modification before assembly. To check out the most recent monthly shipment of the engines, you randomly select and test 200 of these engines. What is the average number of leaky engines you would expect to get?
Answer I got from this was :20
Second part of the question it asks is For the same overseas supplier as the previous question, what is the standard deviation of the number of leaky engines in a random sample of 200 shipped engines? What do I do for this?
Click here to see answer by Theo(13342)

Question 1136838: Suppose that 44 fair, six-sided dice are thrown. What is the expected number of 1's?
Round your answer to two decimal places.
Click here to see answer by ikleyn(52752)

Question 1136830: q1:the owner of a retailing organization is interested in the relationship between price at which the commodity is offered for sale and the quantity sold . the following sample have been collected : price 25 , 45, 30, 50, 35, 40, 65, 75,70,60 and quantity sold 118, 108, 112, 100, 111, 108, 95, 88, 91,96
Click here to see answer by ikleyn(52752)

Question 1136857: in 2006, six of eleven men's basketball teams in the big ten conference were to participate in the NCAA men's basketball championship tournament. if six of the eleven schools are selected at random, what is the probability that the six teams chosen were the actual six teams selected to play?
Click here to see answer by ikleyn(52752)

Question 1136870:
Click here to see answer by ikleyn(52752)

Question 1136853: The retail price of 12-pack soda can be characterized as having a normal distribution with a mean of 3 dollars and a standard deviation of 0.25. Below what price do you find 20 percent of all 12-packs?
Click here to see answer by Boreal(15235)

Question 1136855: The waiting time until a customer is served at a fast food restaurant during lunch hours has a skewed distribution with a mean of 2.5 minutes and a standard deviation of 0.4 minute. Suppose that a random sample of 47 waiting times will be taken. Compute the probability that the mean waiting time for the sample will be longer than 2.6 minutes.
Click here to see answer by Boreal(15235)

Question 1136831: QUESTION:The management of saving centre has calculated mean of 42 saving accounts rs 75000 and standard deviation rs 10000 .conclude that would it be responsible that the population means is less than rs 100000 by using 5 % significance level.?/
Click here to see answer by Theo(13342)

Question 1136920: I know this problem was asked before but I cannot figure out the work that goes with it to get the answer.
A breakdown of the sources of energy used in the United States is shown below. Choose one energy source at random. Find the probability that it is:
a) Not oil
b) Natural gas or oil
c) nuclear
Oil: 39%
Natural Gas: 24%
Coal: 23%
Nuclear: 8%
Hydropower: 3%
Other: 3%
Click here to see answer by MathLover1(20849)

Question 1136925: I have now have 12 M&Ms, all of varying colors. Suppose I want to select 3 M&Ms from these 12 to decorate a homemade necklace. How many different color orderings are there if I am selecting 3 M&Ms and the order of the M&Ms that I am selecting matter?
Click here to see answer by greenestamps(13195)

Question 1136908: You are setting up a tutoring scheme and have 23 volunteer tutors, 8 of whom are men. There are 17 male students and 15 female students who have applied to receive tutoring.
You decide to draw the names of the tutor and the student at random. What is the probability that the first pair consists of a male tutor and a male student?
Click here to see answer by greenestamps(13195)

Question 1136954: Tony’s Pizza Company finds that 65% of the general population likes pepperoni pizza. I buy pizza for 56 of my intro stats students and it turns out that only 30 of these students like pepperoni pizza.
(a) Using the normal approximation to the binomial distribution, what is the probability of getting 30 or fewer students who like pepperoni pizza in a randomly selected group of 56 students?
Click here to see answer by Theo(13342)

Question 1136947: "According to estimates made by the General Accounting Office, the Internal Revenue Service (IRS) answered 18.3 million telephone inquiries during a recent tax season, and 17% of the IRS offices provided wrong answers. These estimates were based on data collected from sample calls to numerous IRS offices. How many IRS offices should be randomly selected and contacted in order to estimate the proportion of IRS offices that fail to correctly answer questions about gift taxes with a 90% confidence interval of width 0.06?"
I have no idea how to go about solving this. It is a bonus question on my homework and I think a similar question may appear on my test. Thank you in advance!
Click here to see answer by Theo(13342)

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, 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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