Questions on Algebra: Probability and statistics answered by real tutors!

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Question 158303: Chapter 4-2 Problems (22, 38,)
22. In the game of craps using two dice, a person wins on the first roll if a 7 or an 11 is rolled. Find the probability of winning of the first roll.
38. A person flipped a coin 100 times and abtained 73 heads. can the person conclude that the coin was unbalance?

Click here to see answer by edjones(8007) About Me 

Question 158923: if 60% of all women are employed outside the home, find he probablity that in a sample of 20 women:
a. Excatly 20 are employed
b. at least 10 are employed
c. at most five are not employed outside the home.

Click here to see answer by nerdybill(7384) About Me 

Question 157888: I didn't know what category to put this under.
Find Q1, Q2, and Q3 for the data set below.
5.4 2.0 6.8 3.1 2.9 4.7 2.1 5.0 1.9 3.4

Click here to see answer by Edwin McCravy(20054) About Me 

Question 159170: I'm embarassed to admit that I was stumped by this question. I had "20" as my answer and was told it was incorrect. Can you explain why? Thank you.
A hotel has 50 people checking in. Of the 50, there are 16 traders; 10 MBA graduates; 10 American; and 14 women. Approximately how many of the next 50 people checking into the hotel will have MBAs?

Click here to see answer by checkley77(12844) About Me 

Question 159146: Use the survey results below for Exercise 9 below.
This is the survey results:
39% have a pet now and have had a pet.
61% do not have a pet now.
86% have had a pet.
14% do not have a pet now and have
never had a pet.
The question is:
Find the probability that a respondent has a pet, given that the respondent has had a pet.

Click here to see answer by edjones(8007) About Me 

Question 159205: 4.5 ( 2, 16, 32)
2. How many ways can a basebal manager arrange a batting order of 9 player?
I did 9!= 362,880 please let me know if this is correct.
16. An inspector must select 3 tests to perform in a certain order on a manufactured part. He has a choice of 7 tests. How many ways can he perform 3 different tests?
I did 7P3 = 7!/(7-3)! = 7!/4! = 210 Please let me know if this is correct.
32. If a person can select 3 presents from 10 presents under a christmas tree, how many different combinations are there?
I did 10C3 = 10!/(10-3)!3!= 10!/7!3!= 10*9*8*7!/7!*3*2*1= 10*3*4=120
Please let me know if this is correct.
Section 4-6 problem number 6
6. A package contains 12 resistors, 3 of which are defective. If 4 are selected, fin the probability of getting

a. No defective resistors
b. 1 Defective resistor
c. 3 Defective resistors
for a. P(no defectives)= 9C4/12C4=126/495 and then I got confused.
for b P(1 defective) = 1- P(no defectives)
= 1- 9C4/12C4
= 1- 126/595
Then I get confuse becaue I'm not sure how to
subtract from the one.

for c. P(3 defective) = 3C3*9C3/12C4 = 94/495 I think i'm supposed to reduce it
but im not sure how or if this is correc.



Click here to see answer by oscargut(2103) About Me 

Question 159164: Which of these variables are discrete and which are continuous random variables?
a. The number of new accounts established by a salesperson in a year.
b. The time between customer arrivals to a bank ATM.
c. The number of customers in Big Nick’s barber shop.
d. The amount of fuel in your car’s gas tank.
e. The number of minorities on a jury.
f. The outside temperature today.

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Question 159327: Suppose you roll a die 3 times. What is the probability that the face 6 will show up at least once?
Suppose we roll a die 2 times. How many outcomes can happen that an even-number face will not show up?
What is the probability that an even number will not show up during the two rolls?
What is the probability that an even number will show up at least once during the two rolls?

Click here to see answer by edjones(8007) About Me 

Question 159471: This is a homework question. I do not understand about regression lines.
The question is: Find the equation of the regression line:
x 12 14 10 9 15 8
____________________________________
y 29 35 28 23 36 18
Multiple choice answer:
y = -1.2 + 2.4x
y = 1.2 + 2.4x
y = 2.4 + 1.2x
y = -2.4 + 1.2x
Which is the correct answer?

Click here to see answer by Fombitz(32388) About Me 

Question 159742: The directions say,"In exercise 2, consider a 10-question true/false test." The question is, 'How many ways are there to score exactly 80%? That is, how many ways are there to get exactly 2 questions wrong? Explain why choosing which questions you will get wrong determines all your answers.'
Click here to see answer by stanbon(75887) About Me 

Question 159758: A card is drawn frim a standard deck of cards. What is the probability that the card is an ace or a red card?
Click here to see answer by solver91311(24713) About Me 

Question 159761: Find the probability that the name of a month of the year, chosen at random, begins with a consonant.
Click here to see answer by solver91311(24713) About Me 
Question 159761: Find the probability that the name of a month of the year, chosen at random, begins with a consonant.
Click here to see answer by KnightOwlTutor(293) About Me 

Question 159759: Suppose you toss a coin and roll a die. What is the probability that you toss heads and roll a 4?
Click here to see answer by solver91311(24713) About Me 

Question 159757: A bag contains 6 red marbles, 9 blue marbles, and 5 green marbles. You withdraw one marble, replace it, and then withdraw another marble. What is the probability that you do NOT pick two green marble?
Click here to see answer by edjones(8007) About Me 

Question 159822: How can you calculate the maximum number of unique Iowa license plates that can be made from a series of 3 numbers followed by a serias of 3 lowercase letters?
Click here to see answer by vleith(2983) About Me 

Question 159897: What is the probabilty of rolling a 7 with 2 die?
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Question 159985: 40% of students find a job in there chosen field, in a group of 5 what is the probability that at least 1 find a job in his or her field. I'm trying but my answers are way off. I don't know what i'm doing wrong.
Click here to see answer by scott8148(6628) About Me 

Question 160128: Find the sample proportions and test statistic for equal proportions. Is the decision close? Find the p-value.
a. Dissatisfied workers in two companies: x1 = 40, n1 = 100, x2 = 30, n2 = 100, α = .05, two tailed test.
b. Rooms rented at least a week in advance at two hotels: x1 = 24, n1 = 200, x2 = 12, n2 = 50, α = .01, left-tailed test.
c. Home equity loan default rates in two banks: x1 = 36, n1 = 480, x2 = 26, n2 = 520, α = .05, right-tailed test.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 160595: Please help! Homework question.
A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?

Click here to see answer by nabla(475) About Me 
Question 160595: Please help! Homework question.
A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?

Click here to see answer by MathLover1(20849) About Me 

Question 160562: Suppose you select a 3 digit number at random from the set of all positive 3 digit numbers. Find each probability or odds.
P(odd numbers)
P(number less than 900)

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Question 160722: 11.24 In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the
resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with
the results shown below. Research question: Are the mean crash damages the same for these three
vehicles?
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920

Click here to see answer by checkley77(12844) About Me 

Question 160721: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the
resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with
the results shown below. Research question: Are the mean crash damages the same for these three
vehicles?
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920

Click here to see answer by checkley77(12844) About Me 

Question 160822: 5.2 (10, 14)
10. Determine whether the distribution represents a probability distribution. It not, state why.
x 20 30 40 50
p(x)1.1 0.2 0.9 0.3
14. State whether the variable is discrete or continuous.
The number of people who play the state lottery each day.
5.3 Problem # 19
A person decides to invest $50,000 in a gas well. Based on history, the probabilities of the outcomes are as follows.

Outcome p(x)
$80,000 (highly successful) 0.2
$40,000 (Moderately successful) 0.7
-$50,000 (Dry well) 0.1

Find the expected value of the investment. Would you consider this a good investment?
5.4 Problem # 16
16. Find the mean, variance, and standard deviation for the number of heads when 20 coins are tossed.

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Question 160922: A part of a storeroom measures 14 1/2 feet by 6 1/4 feet. The number of square feet in this part is?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 160945: Calculate the mass that would yeild a body mass index of 20 or less for the following heights
a)150 cm
b) 185 cm
An altheletes BMI is 20. For each mass, how tall is the athele?
a)65 kg
b)55 kg

Click here to see answer by nerdybill(7384) About Me 

Question 160937: a pair of dice is rolled. What are the odds in favour of each of the following events occuring?
a) a sum of 7 turning up
b) a sum of 11 turning up
c) a sum of 7 or 11 turnign up
d) a sum of 2 or a sum of 12 turning up
e) a sum greater than 9 turnign up

Click here to see answer by Fombitz(32388) About Me 

Question 160991: If you flip a coin, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
a. What is the probability of getting at most one head?
b. What is the probability of getting at most two tails?

Click here to see answer by Fombitz(32388) About Me 

Question 161107: A group of four men and five women. Three people are selected to attend a conference.

a. In how many ways can three people be selected from this group of nine?

b. In how many ways can three women be selected from the five women?

c. Find the probability that the selected group will consist of all women.

This is how I answered:

(a) 9!/(9-3)! 3! = 9*8*7*6*5*4*3*2*1/6*3*2*1 cancel out the 6 on the numerator and denominator = 504/6 = 84 This is the answere the book gave as well.
(b) 5!/(5-3)! 3! = 5*4*3*2*1/2*3*2*1 cancel out the 2 in the numeratoer and denominator = 60/6 = 10 agan, this is also the answer the book gives.
(c) this is where I am stuck I tried this 5!/(9-5)! 3! = 5*4*3*2*1/4*3*2*1 cancelling out the 4 in the numerator and the denominator which will leave you
with 5 as a numerator, but if we cancel out the 4 on the denominator that will leave us with 6 which is the wrong answer. The books states that the answer
should be 5/42.

If you can help me to understand how they come up with 5/42 for I would appreciate it. Thanks a million!
KiKi

Click here to see answer by vleith(2983) About Me 

Question 161161: My questions concern Statistics and Microsoft Excel. I am extremely lost and dont know where to begin. This is for my MBA course, but I didnt do well in Statistics during my undergrad years. Your help is extremely appreciated!
Candice

Click here to see answer by Fombitz(32388) About Me 

Question 161388: Please help me with my test i need it.
if 800 people were aurveyed,how many said ice cream was their favorite food?
8% ice cream,20% pizza,26%chicken.48% chocalete

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Question 161338: how many five letter arrangments can be made from the letters of the word breakfast

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Question 161470: Find the number of outcomes of a sample space
Selecting 3 cards (without replacement) from a regular deck of 52 cards (Assume order is not important.)*

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Question 161443: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below.
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Research question: Are the mean crash damages the same for these three vehicles?
show work

Click here to see answer by checkley77(12844) About Me 

Question 161524: x=0,1,2,3,4,5,...
y=0,1,4,9,16,25,...
Do we have a linear relationship here?

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Question 161528: There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
Click here to see answer by checkley77(12844) About Me 

Question 161466: A fair coin tossed 5 times. Find the probability that exactly 3 heads appear.
Click here to see answer by ilana(307) About Me 

Question 161507: Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of visitors to the website, exactly actually are looking for the website
Click here to see answer by Alan3354(69443) About Me 

Question 161401: Runners from a particular country entered the New York Marathon each year for the last 5 years and placed in the top 3. The probability of placing in the top 3 next year is?
Click here to see answer by jojo14344(1513) About Me 

Question 161471: Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities.

(a) P(A∩B)
(c) P(AUB)-this has the element line over both A and B

Click here to see answer by oscargut(2103) About Me 

Question 161631: The sum of two numbers is 23. the difference between three times the smaller and seven is two more than twice the larger number. find the two numbers.

Click here to see answer by nerdybill(7384) About Me 

Question 161629: At 9am a plane leaves chicago heading west. At 11 am a second plane leaves chicago heading west on the same flight path and treveling 50mph faster than the first plane. the second plane overtakes the first plane in 5 hours. What is the rate of the first plane?
Click here to see answer by checkley77(12844) About Me 

Question 161630: A mechanic has 20 liters of a 50% antifreeze solution. how many liters of pure antifreeze should be added to the antifreeze solution to make an antifreeze solution that is 75% antifreeze?
Click here to see answer by checkley77(12844) About Me 

Question 161725: Is is believed that in a certain town 35% of the people did not graduate from high school
a. If we sample 18 yr old or older, what is the probability the first or the second we talk to did not graduate high school?
b. If we samole adults 18 yrs or older what is the probability the third person sampled will be the first one who did not graduate high school?

Click here to see answer by gonzo(654) About Me 

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, 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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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