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Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1160727: Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes.
Click here to see answer by Boreal(15235)

Question 1160836: Is it C? I want to check my answers.
Which of the following is one of the cheapest routes to pass through each vertex once starting and ending with Vertex "A" and using the Nearest Neighbor Algorithm.
A. ABDCA, $890
B. ACDBA, $900
C. ABCDA, $960
D. None of the Above

The graph for the question and the question itself are in the question here: i.imgur.com/xCsplh0.png
Click here to see answer by greenestamps(13195)

Question 1160855: Please can you help me solve this work problem question. How many one to one functions are there from set with m elements to one with n elements?

Click here to see answer by ikleyn(52756)

Question 1160867: the proportion of adults 25 and older in a certain country with at least a bachelor's degree is 0.25. suppose you pick seven adults at random. what is the probability that exactly three will have a bachelor's degree or higher?
Click here to see answer by ikleyn(52756)

Question 1160868: a mathematics professor gives an "extra-credit" (bonus marks) problem on a test. if it is done correctly, 15 points are added to the test score, and if it is done partially correctly, 5 points are added; otherwise 5 points are subtracted. suppose a student's probability of getting the problem completely right is 1/4, and only partially correct is 1/2. find the student's mathematical expectation E (expected value) for extra credit.
Click here to see answer by ikleyn(52756)

Question 1160907: Qno1:The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly.Assuming that 6 of the100 TVs in the current lot are defective, Determine the probability that the number of defective TVs obtained by the engineer is :
a. exactly one.
b. at most one.
c. at least one.
d. Between 2 and 4, inclusive
Qno2: One card is selected at random from an ordinary deck of 52 playing cards. Let A = event a face card is selected, B = event a king is selected, and C = event a heart is selected.
Find the following probabilities and express your results in words. Compute the conditional probabilities directly; do not use the conditional probability rule.
a. P(B)
b. P(B | A)
c. P(B |C)
d. P(A)
e. P(A | B)
f. P(A |C)
Click here to see answer by ikleyn(52756)

Question 1160898: When a particular machine is functioning properly, 80% of the items
produced are non-defective.
1. If six items are examined, what is the probability that exactly four are nondefective?
2. If six items are examined, what is the probability that exactly three are
defective?
3. If six items are examined, what is the probability that at least four are nondefective

Click here to see answer by Boreal(15235)

Question 1160869: the department of health claims that less than 30% of South African adults smoke. From a sample of 5000 South African adults it was found that 1450 smoke. use 10% significance level and answer the following questions:
a) formulate a suitable hypothesis.
b) calculate a suitable test statistic.
c) calculate the p-value.
d) decide whether the department's claim is true.
Click here to see answer by Boreal(15235)

Question 1160920: What is the probability of each student winning the competition if four students, Mary, Alice,Jessy and Simon compete in a mathematical quiz? Mary is three times as likely to win the quiz as Alice. Jessy is twice as likely to win the quiz as Simon. The probability that either Mary or Jessy wins the quiz is 0.7.

Click here to see answer by ikleyn(52756)

Question 1160929: Is it A? I want to check my answers.
Katie creates a game in which 3 dimes are flipped at the same time.
5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).
A. 0.875
B. 0.9875
C. 0.125
D. 0.5

The question is provided in the question here: https://i.imgur.com/akxp9Sh.png
Click here to see answer by saw(34)

Question 1160938: A housewife purchases 5 liters of milk, 3 loaves of bread and 6 cans of tuna. She gives the cashier R200 and receives R54 change.
How much did all the items cost?
If a liter of milk costs R5 more than a can of tuna and a loaf of bread costs R2 less than a liter of milk, determine the cost of each item?
Click here to see answer by Theo(13342)

Question 1160955: A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Click here to see answer by Edwin McCravy(20054)

Question 1160965: Is it A? I want to check my answer.
Which is the cost of a minimum spanning tree of the weighted graph using Kurskal's Algorithm?
A. 30
B. 31
C. 28
D. 40

The question is provided in the link here: https://i.imgur.com/FngP2bs.png
Click here to see answer by MathLover1(20849)

Question 1161020: Suppose that you are central General manager for tamanga tyres ltd. You want to set a minimum mileage guarantee on next XM70 tyre. Tests reveal the mean mileage is 47900 and with the standard deviation of 2050 miles and normal distribution. The manufacturer wants to set the minimum guaranteed mileage so that no more than 4 percent of tyre have to be replaced. What is the minimum guaranted mileage should the manufacturer announce

Click here to see answer by Theo(13342)

Question 1161023: In how many ways can 8 different prizes be distributed equally among 4 students ?
Click here to see answer by ikleyn(52756)

Question 1161032: Is it B? I want to check my answer.
A student is listening to songs that are on his phone. On his phone, he has 10 county songs, 15 Pop songs, 5 R&B songs, 10 rap songs, and 5 techno songs (for a total of 45 songs). He set his phone to shuffle so that it randomly plays music. If the phone randomly selects the next son, what is the probability that it will play a Pop song?

A. 2/9
B. 1/3
C. 1/9
D. 2/3
Click here to see answer by MathLover1(20849)

Question 1161034: Is it B? I want to check my answer.
What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown?
A. Drawing A, E, or O
B. Drawing B, C, L, M, N, R, T, or Z
C. Drawing a BLANK tile
D. Drawing a D, F, G, H, I, J, K, P, or Q

The question is provided in the link here: https://i.imgur.com/qSeVRx6.png
Click here to see answer by MathLover1(20849)

Question 1160946: Is it A? I want to check my answers.
Which is the cost of a minimum spanning tree of the weighted graph using Kurskal's Algorithm?
A. 30
B. 31
C. 28
D. 40

The question is provided in the link here: https://i.imgur.com/FngP2bs.png
Click here to see answer by MathLover1(20849)

Question 1161041: Is it C? I want to check my answer.
An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive marbles are drawn without replacement what is the probability that the first one will be green and the second one will be red?
A. 0.51
B. 0.10
C. 0.11
D. 0.16

The bag of marbles for the question and the question itself are provided in the link here: https://i.imgur.com/ZjhDlQu.png
Click here to see answer by MathLover1(20849)

Question 1161043: Is it D? I want to check my answer.
M and N are two events P(M) = 0.60, P(N) = 0.20, and P (M and N) = 0.1.
Find the probability of P (M or N).
A. 0.2
B. 0.5
C. 0.6
D. 0.7
The Venn diagram for the question and the question itself are provided in the link here: https://i.imgur.com/I2V5Kcl.png

Click here to see answer by MathLover1(20849)

Question 1161036: Is it B? I want to check my answer.
A student rolled 2 dice. What is the probability that the first die landed on a number less than 3 and the second die landed on a number greater than 3?

A. 0.500
B. 0.167
C. 0.111
D. 0.083

The question is provided in the link here: https://i.imgur.com/KhyajDc.png

Click here to see answer by MathLover1(20849)

Question 1161047: Is it A? I want to check my answer.
There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. How many different ways can you create a path to 3 different roller coasters?
A. 120
B. 210
C. 720
D. 151,200

The question is provided in the link here: https://i.imgur.com/geG2M5q.png
Click here to see answer by MathLover1(20849)

Question 1161046: Is it D? I want to check my answer.
A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group with a brother given that they have a sister?
P(Brother|Sister)
A. 5/12
B. 5/17
C. 5/9
D. 5/14

The Venn diagram for the question and the question itself are provided in the link here: https://i.imgur.com/Y4MOmRK.png
Click here to see answer by ikleyn(52756)

Question 1161050: Is it B? I want to check my answer.
Consider the following table with information about a sample of students from GCA and if they had trigonometry before taking AMDM. If a person is randomly selected determine the following probability provided the conditions: P(Trig|Male)
A. 2/11
B. 1/6
C. 11/24
D. 1/3

The table for the question and the question itself is provided in the link here: https://i.imgur.com/NO3b8am.png
Click here to see answer by MathLover1(20849)

Question 1161051: Is it D? I want to check my answer.
The following shows a corn maze for participants to walk through. The participants can only go forward and when there is a fork in the path you may assume that people are equally likely to take any one of the paths. It costs $5.00 to enter the maze and each participant gets $10.00 if they come out in a prize area.
Using a tree diagram or area model, determine the probability that a participant wins money.

A. 0.25
B. 0.50
C. 0.573
D. 0.472

The Venn diagram for the question and the question itself are provided in the link here: https://i.imgur.com/bc1utOr.png
Click here to see answer by jim_thompson5910(35256)

Question 1161073: A company makes plastic containers and sells them at R45 each. The cost of production consists of a fixed cost of R28 050 and a variable cost of R12 per container. Let X be the number of containers produced and sold.
Write down the income equation.
Write down the cost equation.
What is the profit equation?
Hence, find the break-even production level for this company.

Click here to see answer by Theo(13342)

Question 1161071: Is it B? I want to check my answer.
A person creates a game in which a person pays $5.00 to play. Then, they draw a single card from a standard shuffled deck of cards.
If they draw a face card, they win $10.00 (i.e. they get their $5.00 back and get an extra $5.00).
If they draw an ace, they win $20.00 (i.e. they get their $5.00 back and get an extra $15.00).
With any other draw they lose their money.
What is the expected money value playing this game?

A. -$5.00
B. -$1.15
C. $1.31
D. $0.38

The deck of cards for the question and the question itself are provided in the link here: https://i.imgur.com/aQBe5Yz.png

Click here to see answer by Theo(13342)

Question 1161066: Is it B? I want to check my answer.
A person creates a game in which a person pays $5.00 to play. Then, they draw a single card from a standard shuffled deck of cards.
If they draw a face card, they win $10.00 (i.e. they get their $5.00 back and get an extra $5.00).
If they draw an ace, they win $20.00 (i.e. they get their $5.00 back and get an extra $15.00).
With any other draw they lose their money.
What is the expected money value playing this game?

A. -$5.00
B. -$1.15
C. $1.31
D. $0.38

The deck of cards for the question and the question itself are provided in the link here: https://i.imgur.com/aQBe5Yz.png
Click here to see answer by math_helper(2461)

Question 1161059: A study shows that scores on an aptitude test are normally distributed with a mean of 70 and a standard deviation of 12. Find the following probabilities:
a. If one test taker is selected, that the person scored greater than 75.
b. If 9 test takers are selected, that they have a mean score greater than 75. c. If 49 test takers are selected, that they have a mean score greater than 75.

Click here to see answer by Boreal(15235)

Question 1161058: Given a standard normal distribution, find the following probabilities
a. P(z < 1.15)
b. P(z > 0.45)
c. P(-1.9 < z < 0.4)

Click here to see answer by Boreal(15235)

Question 1161042: The distribution of the annual incomes of a group of middle -management employees
at Ulimbe Logistics approximates a normal distribution with a mean of K37,200 and a
standard deviation of K800
i. About 95 percent of incomes lie between what two amounts (3marks)
ii. What are the medium and modal incomes?
Click here to see answer by Boreal(15235)

Question 1161092: Is it B? I want to check my answer.
Use graph coloring to find the minimum number of colors needed to color the graph.
A.
B.
C.
D.
The question is provided in the link here: https://i.imgur.com/CmhBgSw.png
Click here to see answer by ikleyn(52756)

Question 1160923: Given p(B)=0.5 and p(AuB')=0.8. What is the value of p(A/B)?

Click here to see answer by ikleyn(52756)

Question 1161100: You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming a set of 12 cards. You then deal all cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a 2, and a 3?
Click here to see answer by ikleyn(52756)

Question 1161115: Is it D? I want to check my answer.
Which graph below has an EULER PATH?
A.
B.
C.
D.

The graph for the question and the question itself are provided in the link here: https://i.imgur.com/rgSdL5F.png
Click here to see answer by MathLover1(20849)

Question 1161114: Is it C? I want to check my answer.

What is the degree of vertex A?
A. 4
B. 5
C. 6
D. 7

The question is provided in the link here: https://i.imgur.com/5enBQKD.png
Click here to see answer by MathLover1(20849)

Question 1161117: A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3? Thank you!
Click here to see answer by Alan3354(69443)

Question 1161119: In a certain class of students, there are 8 boys from Wilmette, 4 girls from Kenilworth, 8 girls from Wilmette, 7 boys from Glencoe, 3 boys from Kenilworth and 4 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?
Click here to see answer by ikleyn(52756)

Question 1161124: Is it A? I want to check my answer.
What is the length of the shortest path from A to G in the graph below?
A. 6
B. 9
C. 12
D. 15

The graph for the question and the question itself are provided in the link here: https://i.imgur.com/GfJXzfo.png
Click here to see answer by MathLover1(20849)

Question 1161123: Is it C? I want to check my answer.
Which of the following is the cheapest route to visit each city using the "Brute Force Method" starting from A and ending at A.

A. ABCDA

B. ADCBA
C. ABDCA
D. None of the Above

The question is provided in the link here: https://i.imgur.com/r9Xe37R.png
Click here to see answer by greenestamps(13195)

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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