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Question 1158881: Suppose that 69 of all college seniors have a job prior to graduation. If a random sample of 50 college seniors is taken, approximate the probability that more than 37 have a job prior to graduation. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.
Click here to see answer by ikleyn(53617)

Question 1164737: A trading company has eight computers that it uses to trade on the New York Stock Exchange
(NYSE). The probability of a computer failing in a day is 0.005, and the computers fail
independently. Computers are repaired in the evening and each day is an independent trial.
(a) What is the probability that all eight computers fail in a day?
(b) What is the mean number of days until a specific computer fails?
(c) What is the mean number of days until all eight computers fail in the same day
compute the solution in R ?
Click here to see answer by ikleyn(53617)

Question 1164684: In order to manage the Credit Risk, a bank regularly rates each of its borrowers as Al or A2 or A3, based on their Credit history. A1 implies lowest risk and A3 implies highest risk. Risk means the chance that a borrower might fail to pay back the loan amounts. Based on historical data, on an average, 30% customers are rated Al, 60% are rated A2, and 10% are rated A3. It was found that 1% of the customers who were rated Al, 10% of the customers who were rated A2, and 18% of the customers who were rated A3, eventually became defaulters (failed to payback). If you randomly pick up a customer from defaulter's pool, what is the probability that he had received an Al rating?
Click here to see answer by ikleyn(53617)

Question 1164707: Five observations have been drawn independently and at random from
a continuous distribution. What is the probability that the next observation
will be less than all of the first five?
Click here to see answer by greenestamps(13295)

Question 1164818: A lot of 75 washers contains 5 in which the variability in thickness around the circumference
of the washer is unacceptable. A sample of 10 washers is selected at random, without
replacement.
(a) What is the probability that none of the unacceptable washers is in the sample?
(b) What is the probability that at least one unacceptable washer is in the sample?
(c) What is the probability that exactly one unacceptable washer is in the sample?
(d) What is the mean number of unacceptable washers in the sample?

Also give R code
Click here to see answer by ikleyn(53617)

Question 1164708: Let X1, X2, X3, ...,X 50 be a random sample of size 50 from a distribution
with density function given by:
f(x) = product of x^(a-1) and exp^(x/Q) divided by product of gamma of alpha
and Q^(a) with the condition 0 < x < inf. [Here a means alpha]
Click here to see answer by CPhill(2189)

Question 1164741: A trading company has eight computers that it uses to trade on the New York Stock Exchange(NYSE). The probability of a computer failing in a day is 0.005, and the computers fail independently. Computers are repaired in the evening and each day is an independent trial.
(a) What is the probability that all eight computers fail in a day?
(b) What is the mean number of days until a specific computer fails?
(c) What is the mean number of days until all eight computers fail in the same day
compute the solution in R ?
Click here to see answer by CPhill(2189)

Question 1164808: 3 7. Let X1, X2, X3, X4 be a random sample of size 4 from a standard normal population. Find the sampling distribution (if possible) and moment gener- ating function of the statistic 2X?+3X2 +X +4X. What is the probability distribution of the sample?
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Question 1164809: let x1,x2,x3,x4 be a random sample of size 4 from a standard normal population.find the distribution of the statistics x1+x2/square root(x2 square +3x square)
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Question 1164810: In grading pears into small, medium, and large, Nature Farms packs the pears that weigh more than 3.6 ounces in packages marked "large" and the pears that weigh less than 2.4 ounces into packages marked "small"; the remainder are packed in packages marked "medium." If a day's packaging contained 3.92% large and 5.94% small pears, determine the mean and the standard deviation for the pears' weights. Assume that the distribution of the weights is normal
Click here to see answer by CPhill(2189)

Question 1164883: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $176,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 48 graduates. Round all answers to four decimal places if necessary.
What is the distribution of
X?X~ N(____,_____)
What is the distribution of
¯x?¯x~ N(______,_______)
For a single randomly selected graduate, find the probability that her salary is between $178,172 and $184,181.
For a simple random sample of 48 graduates, find the probability that the average salary is between $178,172 and $184,181.
For part d), is the assumption of normal necessary? No or Yes
Click here to see answer by CPhill(2189)

Question 1164884: CNNBC recently reported that the mean annual cost of auto insurance is 1036 dollars. Assume the standard deviation is 268 dollars, and the cost is normally distributed. You take a simple random sample of 35 auto insurance policies. Round your answers to 4 decimal places.
What is the distribution of X?X~ N(________,_______)
What is the distribution of ¯x?¯x~ N(________,__________)
What is the probability that one randomly selected auto insurance is less than $996?
a simple random sample of 35 auto insurance policies, find the probability that the average cost is less than $996.
For part d), is the assumption of normal necessary? Yes or No
Click here to see answer by CPhill(2189)

Question 1164885: The average production cost for major movies is 60 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 44 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible.
What is the distribution of X?X~ N(_______,_________)
What is the distribution of ¯x?¯x~ N(_________,_________)
For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 60 million dollars.
For the group of 44 movies, find the probability that the average production cost is between 57 and 60 million dollars.
For part d), is the assumption of normal necessary? Yes or No
Click here to see answer by CPhill(2189)

Question 1164939: The normality assumption implies that:a. the population error u is dependent on the explanatory variables and is normally distributed with mean equal to one and variance 2b. the population error u is independent of the explanatory variables and is normally distributed with mean equal to one and variance c. the population error u is dependent on the explanatory variables and is normally distributed with mean zero and variance d. the population error u is independent of the explanatory variables and is normally distributed with mean zero and variance 2.
Background image
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Question 1201644: Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)
A. even and doubles
B. even or doubles
Click here to see answer by ikleyn(53617)

Question 729509: Approximately 70% of the Wisconsin population have type O blood. If 4 persons are selected at random to be donors, find P[at least one type O]. Round your answer to four decimal places.
Click here to see answer by ikleyn(53617)

Question 729328: A quality control engineer at a light bulb plant estimates that 1% of the bulbs it sells are defective. If you purchase a package of 3 bulbs, what is the probability that exactly one of them is defective?
Click here to see answer by ikleyn(53617)

Question 729623: 90% of the people surveyed believe that the speed limilt on the turnpike should increase. A random sample of 15 people were asked if they believe that the speed limit should be increased and the number who agree were recorded
1. find the probability that exactly 7 believe that the speed limit should be increased
Click here to see answer by ikleyn(53617)

Question 729546: In one town, 37% of adults are employed in the tourism industry. What is the probability that five adults selected at random from the town are all employed in the tourism industry?
Click here to see answer by ikleyn(53617)

Question 729475: 1. A prediction equation for starting salaries (in $1,000s) and SAT scores was performed using simple linear regression. In the regression printout shown below, what can be said about the level of significance for the overall model?
Click here to see answer by ikleyn(53617)

Question 729490: Q.two stores sell a certain product. Store A has 36% of the sales, 2% of which are defective items, and store B has 64% of the sales, 1% of which are defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives one of this product as a gift. What is the probability it is defective?
Can you explain how to come out with a solution for this type of problem.?
Click here to see answer by ikleyn(53617)

Question 729645: Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of items of a factory. The percentage of defectives output of these machines are 2%, 3% and 4%, respectively. If an item is selected at random and is found defective. Find the probability that the selected item was produced by machine C.
Click here to see answer by ikleyn(53617)

Question 729650: A Deck of 52 cards with 26 red and 26 black cards. What is the probability that you guess the color correctly by chance?
I really want to understand how to solve the problem so please include steps and/or formula's.
THANKS SO MUCH.
Click here to see answer by ikleyn(53617)

Question 729593: Given eight students four of which are females if two students are selected at random without replacement what is the probability that both students are females
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Question 729296: Could really use some help on a problem, can someone assist?
You play a game where a single die is rolled. If you roll an odd number, you win the amount of dollars the die shows. If you roll an even number, you lose the number showing. Calculate the expected value of the game, and is it fair?

Click here to see answer by ikleyn(53617)

Question 729597: It has been reported that 15% of all cars on the highway are traveling at speeds in excess of 65 mph. If the speeds of six random automobiles are measured via radar:
a. What is the probability that exactly 3 cars are speeding?
b. what is the probability that at least one car is going over 65 mph
Click here to see answer by ikleyn(53617)

Question 729595: How many ways can a person select a soft drink and three snacks if there are six soft drinks and 12 snacks to choose from
Click here to see answer by ikleyn(53617)

Question 1165095: . You've calculated a confidence interval for μ and obtained the range (1000, 2100). If your calculation was based on a sample of size of 25, what assumptions did you have to make for this interval to be valid? a) The sampling distribution must be biased with 24 degrees of freedom. b) The underlying population must have an approximately normal distribution. c) The population must have an approximate t distribution. d) The sampling distribution of the sample mean must have a normal distribution.
Click here to see answer by CPhill(2189)

Question 1165218: The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.

Technician Shutdowns
Taylor 3
Hurley 1
Gupta 3
Rousche 3
Huang 1

How many different samples of two technicians are possible from this population?

List all possible samples of two observations each and compute the mean of each sample. (Round your answers to 2 decimal places.)

Compare the mean of the sample means with the population mean. (Round your answers to 2 decimal places.)

Click here to see answer by CPhill(2189)

Question 1165219: Given below are the last four digits of 18 random phone numbers of your local population.

3,143 4,151 9,341 3,430 8,552 4,184
4,045 3,120 8,132 1,660 2,821 9,139
1,328 4,738 8,929 4,280 4,883 3,919

Fill in the frequency table of the final digit of 18 randomly selected phone numbers.

Using the sample mean of the final four digits (9704 would lead to a mean of 5), compute the mean of the sample means. (Round your answer to 2 decimal places.)

Click here to see answer by CPhill(2189)

Question 1165293: A lake in foreign country contains two types of fish. Let X be the random variable for the length (in cm) of the Flamboyant Flapper fish. The expected value of X is E(X) = 29 and the variance Var(X) is 7.
Let Y be the random variable for the length (in cm) of the Boring Beluper fish. The expected value of Y is E(Y) = 21 and the variance Var(Y) is 11.
You and your friend go fishing. You catch a Flamboyant Flapper fish and your friend catchs a Boring Beluper. What is the probability that your friend's Boring Flapper is longer than your Flamboyant Flapper? To be able to work this out you need to know the distribution of the random variable (X-Y).
Calculate the expectation (X-Y), E(X-Y), and the standard deviation of (X-Y), SD(X-Y), assuming that X and Y are independent, and enter your answers below. The expected value of (X-Y) is E(X-Y) = ?
Assuming that X and Y are independent, then the standard deviation of (X-Y) is SD(X-Y) = ? (to 1 d.p.)

Click here to see answer by CPhill(2189)

Question 1165342: What type of scale is being used for each of the following measurements?
a. Number of arithmetic problems correctly solved _______________
b. Type of phobia _______________
c. Self-esteem, as measured by self-report questionnaire _______________
d. Annual income in dollars _______________
e. Theoretical orientation toward psychotherapy _______________
f. Heart rate in beats per minute _______________
Click here to see answer by CPhill(2189)

Question 1165346: The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.2 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past and finds that the mean replacement time is 3.9 years.
Assuming that the laptop replacement times have a mean of 4.2 years and a standard deviation of 0.6 years, find the probability that 38 randomly selected laptops will have a mean replacement time of 3.9 years or less.
P(M < 3.9 years) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Click here to see answer by CPhill(2189)

Question 1165483: A psychologist records how many words participants recall from a list under threedifferent conditions: large reward for each word recalled, small reward for each word recalled, and no reward.
a. What is the independent variable? _______________
b. What is the dependent variable? _______________
c. What kind of scale is being used
to measure the dependent variable? ______________
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Question 1165619: A physician claims that joggers' maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 43.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physician's claim at = 0.05?
First, identify the alternative and the null hypotheses.
Second, calculate the critical value and
Next, use the appropriate formula.
Finally, decide whether or not to reject the null hypothesis.
Click here to see answer by amarjeeth123(573)

Question 730266: let x be the life of a light bulb in hours with the following probabilities:
p(x<=2000)=0.10
p(x>6000)=0.6
what is the probability of the life of the bulb if p(2000 what is the probability of the life of the bulb is >800?
Click here to see answer by ikleyn(53617)

Question 730309: Five evenly matched horses (Applefarm, Bandy, Cash, Deadbeat, and Egglegs) run in a race.
a. In how many ways can the first-, second-, and third-place horses be determined?
b. Find the probability that Deadbeat finishes first and Bandy finishes second in the race.
c. Find the probability that the first-, second-, and third-place horses are Deadbeat, Egglegs, and Cash, in that order.
Thanks!
Click here to see answer by ikleyn(53617)

Question 730535: use a standard normal table to find the z-score that corresponds to the cumulative area of 0.01
Click here to see answer by ikleyn(53617)

Question 731105: A bag contains 12 red and 8 blue marbles. If you randomly select 2 marbles, what is the probability that they are the same color?
I feel like this is an nPr or a nCr, but I am unsure.
Click here to see answer by greenestamps(13295)

Question 731746: you have an equally likely chance of choosing an integer from 1 through 20 find the probability of choosing and odd number.
Click here to see answer by ikleyn(53617)

Question 731759: A business has seven locations to choose from and wishes to rank only the top three locations. how many different ways can be done?
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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, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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