Tutors Answer Your Questions about Probability-and-statistics (FREE)
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(2113)  |
Question 161107This question is from textbook Thinking Mathematically
: 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!
KiKiThis question is from textbook Thinking Mathematically
Click here to see answer by vleith(1977)  |
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(7035)  |
Question 161524: x=0,1,2,3,4,5,...
y=0,1,4,9,16,25,...
Do we have a linear relationship here?
Click here to see answer by scott8148(3382)  |
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(6059)  |
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(7035)  |
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)  |
Question 161724: A calculator requires a keystroke assembly and a logic circuit. Assume that 88% of the keystroke assemblies and 93% of the logic circuits are satisfactory.
a. Find the probability that a finished calculator will be satisfactory
b. Find the probability that a finished calculator will have both a bad keystroke assembly and a bad logic circuit.
c. Find the probability that a finished calculator will have either a bad keystroke assembly or a bad logic circuit.
Click here to see answer by gonzo(654)  |
Question 162243: the student council is ordering pizza for their next meeting. there are 20 council members, 7 of whom are vegetarian. A commiittee of 3 will order 6 pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. the shop offers 10 different toppings.
a) how many different pizza committes can the council choose if there must be at least 1 vegetarian and 1 non vegetarian on the committe?
b) in how many ways could the committee choose up to 3 toppings for a pizza?
c) The committee decide to order each topping exactly once and to have at least 1 topping on each pizza. describe the different cases possible?
d) for one of the cases determine the number of ways of choosing and distributing the 10 toppings
Click here to see answer by Edwin McCravy(2920)  |
Question 162178This question is from textbook
: a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) What is the probability that the drug will be effective for 2 hours or less?
b) What is the probability that the drug will be effective for 1 hour or less?
c) What is the probability that the drug will be effective for 3 hours or more?
This question is from textbook
Click here to see answer by Fombitz(2113)  |
Question 162418: 3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes
Click here to see answer by josmiceli(3003)  |
Question 162544: Most mathematics professors love to invest their hard-earned money. A recent survey of 150 math professors revealed that:
111 invested in stocks;
98 invested in bonds;
100 invested in certificates of deposit;
80 invested in stocks and bonds;
83 invested in bonds and certificates of deposit;
85 invested in stocks and certificates of deposit;
9 did not invest in any of the three.
How many mathematics professors invested in stocks and bonds and certificates of deposit?
Click here to see answer by clemsongurl84(1)  |
Question 162562: can someone help please
Five cards are drawn at random from an ordinary deck of 52 cards. In how many ways is it possible to draw two red cards and three black cards?
a. 845,000 ways
b. 422,500 ways
c. 1,690,000 ways
d. 1,267,500 ways
Click here to see answer by stanbon(26259)  |
Question 162584: can someone help please
Use the multiplication principle to solve the problem.
How many different 5-digit sequences can be formed using the digits 0,1, ...7 if repetition of digits is allowed?
a. 16,807
b. 120
c. 35
d. 32,768
Click here to see answer by Edwin McCravy(2920)  |
Question 162587: can someone help me with this
Awards are to be presented to seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. How many different orders are possible for the awards if the men are to receive their awards first, and then the women?
a. 5040
b. 73
c. 144
d. 2
Click here to see answer by KnightOwlTutor(292)  |
Question 162588: can someone help me with this
Write the sample space for the given experiment.
A box contains 10 red cards numbered 1 through 10. One card is drawn at random.
a. {10}
b. {1,2,3,4,5,6,7,8,9,10}
c. {1,10}
d. {100}
Click here to see answer by Fombitz(2113)  |
Question 162671: can someone help me with this
Convert the odds that the given event will occur to the probability that the event will occur.
The odds in favor of winning a particular lottery are 1 to 2,000,000.
a. 1/2,000,001
b. 2,000,000/2,000,001
c. 1/1,999,999
d. 1/2,000,000
Click here to see answer by Edwin McCravy(2920)  |
Question 162955: can someone please help me with this problem:
Among 170 households surveyed, 43 have a video camera, 44 have a snapshot camera, 48 binoculars, 7 have a video camera and a snapshot camera, 8 have a snapshot camera and binoculars, 4 have all three products. What is the probability that a household will have a snapshot camera or binoculars? Express the answer as a fraction.
a. 79/170
b. 46/85
c. 42/85
d. 87/170
Click here to see answer by jim_thompson5910(13787)  |
Question 162962: can someone please help me with this problem:
In a certain animal species, the probability that a female will have 0,1,2,3 or 4 offspring in a given year is .31, .21, .19, .17, and .12 respectively. Find the expected number of offspring
a. 1.38
b. 1.58
c. 1.75
d. 2
Click here to see answer by jim_thompson5910(13787)  |
Question 163004: Please help me answer this problem, I am lost.
A small company has 20 employees with a mean annual salary of $75,000. The company is planning to expand its activities by hiring an administrative assistant and a consultant with annual salaries of $50,000 and $95,000, respectively. What will the mean annual employee salary be if the company expands its workforce as planned?
Click here to see answer by scott8148(3382)  |
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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
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