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Question 1142661: A case of 24 cans contains 1 can that is contaminated. Three cans are to be chosen randomly for testing.
a. How many different combinations of 3 cans could be selected?
b. What is the probability that the contaminated can is selected for testing?
Click here to see answer by ikleyn(52750)

Question 1142685: Th probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was taken. How many people would be expected to have brown eyes?
Click here to see answer by ikleyn(52750)

Question 1142698: A peculiar die has the following properties: on any roll the probability of rolling either a 6, a 1, or a 1/2 is , just as it is with an ordinary die. Moreover, the probability of rolling either a 4, a 5, or a 3 is again 1/2. However, the probability of rolling a is , not as one would expect of an ordinary fair die.From what you know about this peculiar die, compute the following.
The probability of rolling either a 2, a 5, or a 3
The probability of rolling either a 6 or a 1

Click here to see answer by greenestamps(13195)

Question 1142702: Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients with asthma or other respiratory conditions often have restricted PEF. The mean PEF for children free of asthma is 360. An investigator wants to test whether children with chronic bronchitis have restricted PEF. A sample of 48 children with chronic bronchitis are studied and their mean PEF is 297 with a standard deviation of 74. Is there statistical evidence of a lower mean PEF in children with chronic bronchitis? Run the appropriate test at alpha = 0.05.
Click here to see answer by Theo(13342)

Question 1142669: Food allergies affect an estimated 7% of children under age 5 in the US.
What is the probability that in a kindergarten class of 12 kids under age 5 at least one of them has food allergies?

Click here to see answer by ikleyn(52750)

Question 1142703: There are 14 entrees available at a restaurant. From these, Archie is to choose 6 for his party. How many groups of 6 entrees can he choose, assuming that the order of the entrees chosen does not matter?
Click here to see answer by Alan3354(69443)

Question 1142705: The table below shows the scores of a group of students on a 10-point quiz.
est Score Frequency
3 5
4 2
5 5
6 2
7 2
8 4
9 2
10 1
Click here to see answer by Alan3354(69443)

Question 1142715: 8 freshmen, 10 sophomores, 6 juniors, and 7 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?
Click here to see answer by greenestamps(13195)

Question 1142716: 7 freshmen, 9 sophomores, 6 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?
Click here to see answer by greenestamps(13195)

Question 1142656: Hello, this is a statistics problem. Is there a formula that I would use to find the minimum and maximum values below?
Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours.
About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night.
Click here to see answer by Theo(13342)

Question 1142724: I am trying to calculate a probability problem. It reads: "If someone spins the spinner twice, what is the probability it will land on an even number?"
The spinner has the following numbers clockwise: 1,2,3,2,5,4,4. However, the space that includes the 1 is twice the size of the others and is 25% of the total area of the spinner. If I draw a dividing line in the larger space, I will then have 8 equal parts. Is this the correct procedure for solving the problem?
Click here to see answer by greenestamps(13195)

Question 1142593: This part of the assessment covers Learning Outcomes 2, 3 and 4 and is worth 80% of
the total marks for the module.
Students Monthly Spending, excluding accommodation, bills and transportation
Monthly Expenditure (in pounds sterling)
Name Campus Marital
Status Food Clothing Entertainment Charitable
Giving
Jenny London S 160 230 80 0
Annie Manchester S 180 220 50 10
Haddy Manchester M 255 145 45 15
Martin Birmingham S 240 165 100 0
Ahmed London M 375 195 140 10
Sean London S 185 135 130 20
Alice London M 260 260 70 20
Belinda London M 320 140 105 15
Benjie Birmingham S 245 230 60 40
Barbara Manchester M 305 150 100 0
Liam Birmingham M 400 80 100 20
M

What is the probability that a student spending more than £500 monthly would be
both married and based in London?
Click here to see answer by greenestamps(13195)

Question 1142533: A gadget has three temperature options (Low, Medium, and High) and two power settings (On and Off). You conduct an experiment where you observe the status of the machine throughout its day-to-day use, and the probabilities associated with each of the possible outcome pairs is shown. Consider the following events:
A: {On}
B: {Medium or On}
C: {Off and Low}
D: {High}
Low Medium High
On .5 .1 .05
Off .25 .07 .03
Find P(A).
A. .5
B. .25
C. .65
D. .6
Click here to see answer by greenestamps(13195)

Question 1142754: what is the probability that fewer than 4000 acres will be burned in any given year?
Click here to see answer by Alan3354(69443)

Question 1142737: 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 5 different suits.
Hence, there are 90 cards in the deck with 18 ranks for each of the 5 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
43949268

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 Alan3354(69443)

Question 1142759: 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 5 different suits.
Hence, there are 90 cards in the deck with 18 ranks for each of the 5 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
43949268

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 Alan3354(69443)

Question 1142790: Long term average number of computer failure in your organization is 2 per week.
What is the probability of at most one failure in the week?

Click here to see answer by ikleyn(52750)

Question 1142801: Suppose that there are 7 women and 5 men in a department.
a). How many ways a committee of 4 people can be selected if there must be 2 men and 2 women?
b). How many ways a committee of 4 people be selected if there is no requirement for number in regards to gender?
c). How many ways can a committee of 4 people be selected if there must be at least 1 man?
Click here to see answer by greenestamps(13195)

Question 1142813: A lottery offers on $1000 prize, one $500 prize and five $100 prizes. Seven hundred tickets are sold at $4 each. Find the expected value of a ticket if a person buys one ticket.
Click here to see answer by ikleyn(52750)

Question 1142814: If a player rolls two dice and a gets a sum of 2 or 12, she wins $20. If a person gets a product of 12, she wins $ 15. If she gets a sum of 5 or 9, she wins $2. For the game to be fair, how much should the person pay to play the game?

Click here to see answer by ikleyn(52750)

Question 1142815: Card Game. A game is set up as follows: All the diamonds are removed from a deck of cards, and these 13 cards are placed in a bag. The cards are mixed up, and then one card is chosen at random (and then replaced). The player wins according to the following rules.
If the ace is drawn, the player loses $20. If a face card is drawn, the player wins $10 If any other card (2-10) is drawn, the player wins $2 How much should be charged to play this game in order for it to be fair?
Click here to see answer by greenestamps(13195)

Question 1142850: The time it takes to assemble an electronic component is normally distributed with a mean of 17.2 minutes and a standard deviation of 3.1 minutes. The probability is 95.05% that it will take at least how long to assemble a component?

Click here to see answer by rothauserc(4718)

Question 1142894: A sample of 259 adults is selected. The adults are classified according to their voter registration status and their preferred source of current events information. The results are given in the contingency table below.
Voting registration status Registered 25 22 32 26
Not registered 45 27 40 42
Click here to see answer by ikleyn(52750)

Question 1142893: A sample of 259 adults is selected. The adults are classified according to their voter registration status and their preferred source of current events information. The results are given in the contingency table below.
Voting registration status Registered 25 22 32 26
Not registered 45 27 40 42
Click here to see answer by ikleyn(52750)

Question 1142906: Imagine that you are the one picking for the raffle draw of employees, the bowl contains papers with names of 10 employees from the purchasing department and 20 from the sales department. If you draw 4 prize winners, what is the probability picking all 4 people from the sales department?

Click here to see answer by ikleyn(52750)

Question 1142812: A life insurance company sells a $250,000 1-year term life insurance policy to a 20-year-old male for $350. According to the National Vital Statistics Report, the probability that the 20-year-old male survives the year is 0.998734. Compute the expected value of this policy for the insurance company
Click here to see answer by solver91311(24713)

Question 1142889: Word Problem:
Ten thousand raffle tickets are sold for $3 each. Three prizes will be awarded, one for $ 5,000 and two for $2000. Assume that the probability that any given ticket is selected for the
$ 5,000 prize is 1/10000 comma 000 and the probability that any given ticket is selected for a $2,000 prize is 2/10000. Winners do not have their ticket costs of $3 refunded to them. Jennifer purchases one of these tickets.
A)What is Jennifer's expected value?
B) determine the fair price of a ticket?
Click here to see answer by Alan3354(69443)

Question 1142908: In how many ways can you take 4 of your 10 favorite books on the trip?
Click here to see answer by ikleyn(52750)

Question 1142939: 1) An organizational psychologist was interested in whether individuals working in different sectors of a company differed in their attitudes towards the company. The results for the three people surveyed in engineering were 10, 12, and 11; for the three in the marketing department, 6, 6, and 8; for the three in accounting, 7, 4, and 4; and for the three in production, 14, 16, and 13 (higher numbers mean more positive attitudes. Was there a significant difference in attitude toward the company among employees working in different sectors of the company at the .05 level?
(a) Use the steps of hypothesis testing.
(b) Explain your answer to someone who understands everything involved in conducting a t test for independent means, but is unfamiliar with the analysis of variance.
2) What are the approximate numbers of participants needed for each of the following planned studies to have 80% power, assuming equal numbers in the two groups and all using the .05 significance level? (Be sure to give the total number of participants needed, not just the number needed for each group.)
Expected
µ1 µ2 ơ Tails
a. 10 15 25 1
b. 10 30 25 1
c. 10 30 40 1
d. 10 15 25 2
About how many participants do you need for 80% power in each of the following planned studies, using a chi-square test of independence with p < .05?
Predicted Effect Size Design
(a)small 2 x 2
(b)meduim 2 x 2
(c)large 2 x 2
(d)small 3 x 3
(e)meduim 3 x 3
(f)large 3 x 3

Click here to see answer by solver91311(24713)

Question 1142941: Which of the following variables are best thought of as continuous, which discrete? Indicate your choice for each by checking the appropriate column.
Variable Discrete Continuous
(a) The temperature of a burrito served to a customer in a local Mexican restaurant

(b) The number of defective compact discs in a batch of 500 discs

(c) The fuel efficiency, in miles per gallon, of an American-made car

(d) The number of personal telephone calls made tomorrow at Bingley Corporation

Click here to see answer by solver91311(24713)

Question 1142974: The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 900 tickets. There is one $3,000 grand prize, two $400 second prizes, and ten $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Click here to see answer by ikleyn(52750)

Question 1142980: If two events 𝐴 and 𝐵 are independent, and you know that 𝑃(𝐴)=3/10, what is the value of 𝑃(𝐴|𝐵)?

Click here to see answer by Edwin McCravy(20054)

Question 1142965: In families with four children, you’re interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-column table with the headings “0” through “4,” for the five possible numbers of girl children in a four-child family. Then, using “G” for girls and “B” for boys, list under each heading the various birth-order ways of achieving that number of girls in a family.
Then, use your table to calculate the following probabilities:
a. The probability of 1 girl
b. The probability of 2 girls
c. The probability of 4 girls
d. The probability the third child born is a girl
Click here to see answer by greenestamps(13195)

Question 1142977: A survey of 1020 workers in a certain year found that 54% of the respondents spend a total of $40 or less on lunch each week. If 10 of the workers who participated in the survey were chosen at random, what is the probability that at most 3 of them spend a total of $40 or less on lunch each week?
Click here to see answer by Boreal(15235)

Question 1142967: In a nationwide polls of 1,500 randomly selected U.S. residents, 77% said that they liked pizza. In a poll of 1,500 randomly selected U.S. residents one month later, 75% responded that they liked pizza.
a. Does the polling evidence support the claim that pizza declined in popularity over the month between polls? Explain why or why not.
b. Using statistical terminology, precisely identify the population parameter the two polls were attempting to measure. How does a parameter differ from a statistic?
c. Based on the two polls, what would you say to someone who guessed that the population parameter the polls are trying to measure is really only 50%?
Click here to see answer by Boreal(15235)

Question 1143016: Page 7of 10Assessment Part 2 This part of the assessment covers Learning Outcomes 2, 3 and 4and isworth 80% of the total marks for the module. Students Monthly Spending, excluding accommodation, bills and transportationMonthly Expenditure (in pounds sterling)NameCampusMarital StatusFoodClothingEntertainmentCharitable GivingJennyLondonS160230800AnnieManchesterS1802205010HaddyManchesterM2551454515MartinBirminghamS2401651000AhmedLondonM37519514010SeanLondonS18513513020AliceLondonM2602607020BelindaLondonM32014010515BenjieBirminghamS2452306040BarbaraManchesterM3051501000LiamBirminghamM4008010020Managerial Report (max: 2000 words)Comment onthe spending information presented in the table above. Include the following in your report:a.Totals, mean, medianand standard deviation,together with a discussion of whatthesedescriptive statistics tell usabouttheirspending.(40marks)b.Graphical summariesfor each of the four items. (15 marks)c.Scatter diagrams to explorethe relationship between marital statusand each ofthe four spendingitems. Discuss.(30marks)d.What is the probability that a student spending more than £500monthlywould be both married and based in London?
Click here to see answer by Alan3354(69443)

Question 1142730: In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.
It is known that 83% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 62 new products, find the following probabilities. (Round your answers to four decimal places.)
(a) within 2 years 47 or more fail

(b) within 2 years 58 or fewer fail

(c) within 2 years 15 or more succeed

(d) within 2 years fewer than 10 succeed

Click here to see answer by Boreal(15235)

Question 1142608: A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the mean number that test positive for the HIV virus? (Round your answer to 1 decimal place)

Click here to see answer by Boreal(15235)

Question 1143045: The manager wants to reward the highest 20% of the sales representatives with a further R1000 bonus. What in the cut-off point between those that earn a bonus and those that do not?
Click here to see answer by greenestamps(13195)

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