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Question 1131226: A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.
1-What percentage of adult men can fit through the door without bending?
2- Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below
A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.
B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.
C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.
3- What doorway height would allow 40% of men to fit without bending?

Click here to see answer by amandaro(1)

Question 1152908: Assume that 63% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below, rounded to four decimal places:
a. There are some lefties ( ≥ 1) among the 5 people.
b. There are exactly 3 lefties in the group.
c. There are at least 4 lefties in the group.
d. There are no more than 2 lefties in the group.
e. How many lefties do you expect?
f. With what standard deviation?
Click here to see answer by ikleyn(52750)

Question 1152904: In how many ways can first, second, and third prizes be awarded in a contest with 700 contestants? Assume there are no ties.
Click here to see answer by ikleyn(52750)

Question 1152774: The scores on a college entrance examination are normally distributed with a mean of 550 and standard deviation of 100. For a sample of 30 students what is the probability that the sample has a mean of at least 600?
Click here to see answer by VFBundy(438)

Question 1152625: A sample of 91 drivers who were ticketed in a 55 mi/hr zone was taken in the month of January. The average sample speed was 66.2 mi/hr with a sample standard deviation of 3.4 mi/hr. Find the 99% confidence interval of the population standard deviation. Assume that the sample has been selected from a population that has a normal distribution.
Click here to see answer by VFBundy(438)

Question 1152937: There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
11/12
.
There are 72 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Click here to see answer by Boreal(15235)

Question 1152936: A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 2 grape balls on two selections without replacement from the machine?
Click here to see answer by Boreal(15235)

Question 1152885: Please help me solve this question:
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 45

tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000

aspirin tablets actually has a 4
%
rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
Click here to see answer by Boreal(15235)

Question 1152773: An IQ test has a mean of 100 and a standard deviation of 15. Assume a normal distribution. Find the probability.
1. What is the probability that someone scores between 110-120?
Click here to see answer by Boreal(15235)

Question 1152709: A normal population has a mean of 52 and a standard deviation of 14. You select a random sample of 37. Use Appendix B.1 for the z-values.

Compute the probability that the sample mean is: (Round the final answers to 4 decimal places.)

a. Greater than 55.

Probability

b. Less than 48.

Probability

c. Between 48 and 55.

Probability
Click here to see answer by Boreal(15235)

Question 1152583: The weight, in grams, of the pair of kidneys in adult males between the ages of 40 and 49 are normally distributed with a mean of 327 grams and a standard deviation of 31 grams. For women between 40 and 49, the mean weight of kidneys is 224 g with a standard deviation of 34 grams. A doctor is doing an autopsy on a man and woman who died under suspicious circumstances. The male’s kidneys weighed 256 grams, while the female’s kidneys weighed 299 grams.
Which person’s kidneys were more unusual?
Gender Mean kidney weight Stand. Dev.
Male 327 grams 31 grams
Female 224 grams 34 grams

Click here to see answer by Boreal(15235)

Question 1152940: A 3 person jury must be selected at random (without replacement) from a pool of 12 people that has 7 men and 5 women. How many ways can a jury of 2 men and 1 woman be selected?
Click here to see answer by ikleyn(52750)

Question 1152771: An IQ test has a mean of 100 and a standard deviation of 15. Assume a normal distribution. What is the probability that someone scores more than 95 points?
Click here to see answer by VFBundy(438)

Question 1152954: A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historically, the failure rate for LED light bulbs that the company manufactures is 6%. Suppose a random sample of 10 LED light bulbs is selected. Complete parts (a) through (d) below.
a. What is the probability that none of the LED light bulbs are defective?
The probability that none of the LED light bulbs are defective is
nothing
Click here to see answer by ikleyn(52750)

Question 1152964: After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only four women among the last 16 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
Help her address the charge of gender discrimination by finding the probability of getting four or fewer women when 16 people are hired, assuming that there is no discrimination based on gender.
Click here to see answer by ikleyn(52750)

Question 1152965: A small regional carrier accepted 20 reservations for a particular flight with 19 seats. 17 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 41% chance, independently of each other.
(Report answers accurate to 4 decimal places.)
Find the probability that overbooking occurs.
Find the probability that the flight has empty seats.
Click here to see answer by Boreal(15235)

Question 1152953: A researcher center claims that at least 47% of adults in a certain country think the government is not aggressive enough in pursuing people who cheat on their taxes. In a random sample of 600 adults from that country. 41% say that the government is not aggressive enough in pursuing people who cheat on their taxes. At a=0.01, is there enough evidence to reject the center's claim?
Click here to see answer by Boreal(15235)

Question 1152991: A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 95% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi?
0.58 0.70 0.09 0.98 1.31 0.57 0.96
What is the confidence interval estimate of the population mean mu?
(?) ppm < mu < (?) ppm
(Round to three decimal places as needed.)
Click here to see answer by Boreal(15235)

Question 1152992: A quality control inspector has drawn a sample of 7 light bulbs from a recent production lot. Suppose that 40% of the bulbs in the lot are defective. What is the standard deviation of the number of defective bulbs in the sample? Round your answer to two decimal places.
Click here to see answer by Boreal(15235)

Question 1153010: Starbucks has found that 25% of customers purchase more than one cup of coffee per day from their shops.Suppose you randomly choose 200 of today's Starbucks customers.Find the probability that no less than 34% of them purchased more than one cup of coffee from Starbucks.
Click here to see answer by jim_thompson5910(35256)

Question 1153022: What is the marginal distribution of girls? Round your answer to the nearest tenth of a percent. Type a numerical answer in the space provided. Do not include % or spaces in your answer

Click here to see answer by greenestamps(13195)

Question 1152939: The information in the following table refers to hair and eye color. If a person is picked at random, what is the probability that the person has red hair and brown eyes?
Brown eyes Not brown eyes
Black Hair 50 20
20
Bolnde hair 60 30
Red hair 70
Click here to see answer by ikleyn(52750)

Question 1153064: Find the probability that the person has an IQ greater than 105.

Click here to see answer by MathIsHard_Yay(7)

Question 1153064: Find the probability that the person has an IQ greater than 105.

Click here to see answer by Alan3354(69443)

Question 1153099: a 2014 survey suggests that 71% of US teenagers use facebook 33% use twitter and 15% do both suppose we select a US teenager at random and learn that the student uses facebook find the probability that the students uses twitter
Click here to see answer by ikleyn(52750)

Question 1153110: 9 freshmen, 6 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors?
Round your answer to 6 decimal places as needed.
Click here to see answer by ikleyn(52750)

Question 1153133: There are European cities that Jim would eventually like to visit. On his next vacation, though, he only has time to visit of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
Click here to see answer by ikleyn(52750)

Question 1153134: There are 14 European cities that Jim would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
Click here to see answer by ikleyn(52750)

Question 1153121: A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing four third-shift workers. Then, find the probability of choosing two second-shift workers and two third-shift workers.
Click here to see answer by greenestamps(13195)

Question 1153118: As a television executive, you have been given 15 shows to choose from to run during your prime time slots each week. If you have to choose 12 shows to run on your network, how many ways can you choose which shows to pick up?
Click here to see answer by ikleyn(52750)

Question 1153120: A floral arrangement consists of 6 different colored roses, 3 different colored carnations, and 3 different colored daisies. You can choose from 8 different colors of roses, 6 diferent colors of carnations, and 7 different colors of daisies. How many different arrangements are possible?
Click here to see answer by ikleyn(52750)

Question 1153116: 1) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following.
Each card will have:
i) One rank from 1 to 18.
ii) One of 8 different suits.
Hence, there are 144 cards in the deck with 18 ranks for each of the 8 different suits, and none of the cards will be face cards! So, a card rank 11 would just have an 11 on it. Hence, there is no discussion of "royal" anything since there won't be any cards that are "royalty" like King or Queen, and no face cards!
The game is played by dealing each player 5 cards from the deck. Our goal is to determine which hands would beat other hands using probability. Obviously the hands that are harder to get (i.e. are more rare) should beat hands that are easier to get.
a) How many different ways are there to get any 5 card hand?
The number of ways of getting any 5 card hand is
DO NOT USE ANY COMMAS
b)How many different ways are there to get exactly 1 pair (i.e. 2 cards with the same rank)?
The number of ways of getting exactly 1 pair is
DO NOT USE ANY COMMAS
What is the probability of being dealt exactly 1 pair?
Round your answer to 7 decimal places.

c) How many different ways are there to get exactly 2 pair (i.e. 2 different sets of 2 cards with the same rank)?
The number of ways of getting exactly 2 pair is
DO NOT USE ANY COMMAS
What is the probability of being dealt exactly 2 pair?
Round your answer to 7 decimal places.

d) How many different ways are there to get exactly 3 of a kind (i.e. 3 cards with the same rank)?
The number of ways of getting exactly 3 of a kind is
DO NOT USE ANY COMMAS
What is the probability of being dealt exactly 3 of a kind?
Round your answer to 7 decimal places.

e) How many different ways are there to get exactly 4 of a kind (i.e. 4 cards with the same rank)?
The number of ways of getting exactly 4 of a kind is
DO NOT USE ANY COMMAS
What is the probability of being dealt exactly 4 of a kind?
Round your answer to 7 decimal places.

f) How many different ways are there to get exactly 5 of a kind (i.e. 5 cards with the same rank)?
The number of ways of getting exactly 5 of a kind is
DO NOT USE ANY COMMAS
What is the probability of being dealt exactly 5 of a kind?
Round your answer to 7 decimal places.

g) How many different ways are there to get a full house (i.e. 3 of a kind and a pair, but not all 5 cards the same rank)?
The number of ways of getting a full house is
DO NOT USE ANY COMMAS
What is the probability of being dealt a full house?
Round your answer to 7 decimal places.

h) How many different ways are there to get a straight flush (cards go in consecutive order like 4, 5, 6, 7, 8 and all have the same suit. Also, we are assuming there is no wrapping, so you cannot have the ranks be 16, 17, 18, 1, 2)?
The number of ways of getting a straight flush is
DO NOT USE ANY COMMAS
What is the probability of being dealt a straight flush?
Round your answer to 7 decimal places.

i) How many different ways are there to get a flush (all cards have the same suit, but they don't form a straight)?
Hint: Find all flush hands and then just subtract the number of straight flushes from your calculation above.
The number of ways of getting a flush that is not a straight flush is
DO NOT USE ANY COMMAS
What is the probability of being dealt a flush that is not a straight flush?
Round your answer to 7 decimal places.

j) How many different ways are there to get a straight that is not a straight flush (again, a straight flush has cards that go in consecutive order like 4, 5, 6, 7, 8 and all have the same suit. Also, we are assuming there is no wrapping, so you cannot have the ranks be 16, 17, 18, 1, 2)?
Hint: Find all possible straights and then just subtract the number of straight flushes from your calculation above.
The number of ways of getting a straight that is not a straight flush is
DO NOT USE ANY COMMAS
What is the probability of being dealt a straight that is not a straight flush?
Round your answer to 7 decimal places.
Click here to see answer by ikleyn(52750)

Question 1153114: An urn has 10 balls that are identical except that 5 are white and 5 are red. A sample of 6 is selected randomly without replacement.
What is the probability that exactly 4 are white and 2 are red?
Click here to see answer by ikleyn(52750)

Question 1153151: If one person is randomly selected, what is the probability of selecting a
person who is Group O or Rh+ ?
| O | A | B |AB | --------------------------- Type Rh+ |37 |36 | 9 | 3 | Type Rh- | 7 | 6 | 1 | 1 |

Click here to see answer by Edwin McCravy(20054)

Question 1153157: In a large statistics course, 70% of the students passed the first exam, 70% of the students pass the second exam, and 62% of the students passed both exams.
Find the proportion of students that passed at least one exam.
Click here to see answer by Boreal(15235)

Question 1153148: The daily revenue of a boutique is normally distribution with a mean of $10,000 and a standard deviation of $2,000. Assume that the boutique works seven days a week. What is the probability that there are two weeks in four non-overlapping weeks that the average daily revenue of the boutique is between $8,500 and $12,000?
Click here to see answer by Boreal(15235)

Question 1153164: 27% of a certain country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of likely voters who think that it is too easy to vote is (a) exactly three, (b) at least four, (c) less than eight.

Click here to see answer by Boreal(15235)

Question 1153119: average take-home pay has increased by 4% to reach R14,500, standard deviation of R4000, suggest I was offered a job and expected to get R15,500,what would be the probability?

Click here to see answer by Boreal(15235)

Question 1153117: 1. According to the IRS, for 2014, the average total itemized deductions that were taken was $25,230. This average was based on a sample of 20 individuals that took an itemized deduction. The standard deviation for this sample was $3,200. Assume that the data approximates a normal curve. Find a 98% confidence interval for the true population mean. please show steps with cakculator
Click here to see answer by Boreal(15235)

Question 1153109: As a television executive, you have been given 17 shows to choose from to run during your prime time slots each week. If you have to choose 7 shows to run on your network, how many ways can you choose which shows to pick up?
Click here to see answer by Boreal(15235)

Question 1153108: The most common human blood group is O which is estimated to be 45% in US population. If you randomly sample 5 people from the US population and test their blood group,
(a) what is the probability that exactly 3 of them have type O blood?
(b) what is the mean and standard deviation of the number of people with blood type O?
Click here to see answer by Boreal(15235)

Question 1153165: In a large statistics course, 71% of the students passed the first exam, 70% of the students pass the second exam, and 62% of the students passed both exams.
Find the proportion of students that passed neither exam.
Click here to see answer by VFBundy(438)

Question 1153172: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 4 customers at Anita's, exactly 2 order their food to go?
Click here to see answer by ikleyn(52750)

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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, 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