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Question 1167102: The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (104 weeks) are shown to the right.
a. Compute the expected number of mortgages approved per week.
b. Compute the standard deviation.
c. What is the probability that there will be more than one commercial mortgage approved in a given week?
Number Approved , Frequency
0, 13
1, 25
2,33
3, 16
4, 8
5, 6
6 ,2
7, 1
a. The expected number of mortgages approved per week is
Click here to see answer by CPhill(2189)

Question 1166976: A special deck of cards has 10 green cards , 13 blue cards , and 5 red cards . When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin.
a. How many elements are there in the sample space?
b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss.
P(A) =
Round your answer to 4 decimal places.
c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?
- No, they are not Mutually Exclusive
-Yes, they are Mutually Exclusive
d. Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive?
-No, they are not Mutually Exclusive
-Yes, they are Mutually Exclusive

Click here to see answer by CPhill(2189)

Question 488990: If I drop three coins on a table, what is the probability of finding
1. exactly 2 heads
2. at most 1 head
3. at least 2 heads
4. at least 1 head
sample space = 8
I came up with HHT, HTH, THH,HTT,THT,TTH,TTT,HHH.
state the probability of each in the form of fraction and percent.
For 1,2,3 I came up with 1/4 or .25, and for 4 = 1/6.
Have I done this correctly, or can you show me a better way to show this??
Is this a form of "classical probability"??
Thank you.
Click here to see answer by ikleyn(53763)

Question 488895: Can you please show steps how to calculate the profile score:
Student received 9/20 in maths, 8/20 in english, 16/30 in General Ability Test.
The school assessment marks were given as 80/100 - English, 87/100 - Maths.
The calculated profile score used a mean of 60 and standard deviation of 12.
The result was 199.99 as the profile score for the student.
Please show steps how this was calculated to get 199.99? Thanks.
Click here to see answer by ikleyn(53763)

Question 483897: the probability that a bullet fired from a point will hit the target is 1/3. Three such bullets are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?
Click here to see answer by ikleyn(53763)

Question 481474: pls help me solve this problem in probability... thank you..

a ring of keys can hold 7 keys. In how many ways can the keys be arranged if the ring can be turned over?
Click here to see answer by ikleyn(53763)

Question 477798: If you have 14 bad calculators and 24 good calculators and you pull 4 what is the probability that 1 is bad
Click here to see answer by ikleyn(53763)

Question 478361: ples please someone....I NEED HELP WITH THIS QUESTION I HAVE SUBMITTED IT SEVERAL TIMES THE FIRST TIME I DID NOT GIVE ALL OF THE INFORMATION, THE SECOND TIME I PUT IN THE WRONG EMAIL ADDRESS....I DESPERATELY NEED HELP WITH IT I DO NOT KNOW WHERE TO BEGIN AND CAN NOT FIND AN EXAMPLE THAT CAN GUIDE ME ALONG THE WAY SO THAT I WILL EVEN KNOW WHERE TO BEGIN....PLEASE HELP!!!! LET X BE A RANDOM VARIABLE WITH THE FOLLOWING PROBAILITY DISTRIBUTION
X 0 1 2 3
P(X) 0.4 0.3 0.2 0.1

DOES X HAVE A BINOMIAL DISTRIBUTION JUSTIFY YOUR ANSWER
Click here to see answer by ikleyn(53763)

Question 568292: Hi. Can you please help me with this question!!!
Sixty percent of a company's sales representatives have completed training seminars. Of these, 80 percent have had increased sales. Overall 56 percent (whether trained or not) have had increased sales. What's the probability of increased sales given that the representative has not been trained?
Click here to see answer by ikleyn(53763)

Question 566612: There are 7 men and 3 women in a room. Two of these 10 people are selected at random. If both people are the same gender, then what is the probability that they are both women?
Click here to see answer by ikleyn(53763)

Question 585040: there are 3 boxes containing respectively 1 white, 2 red, 3 black balls; 2 white, 3 red, 1 black ball; 3 white, 1 red and 2 black balls. a box is chosen at random and from it two balls are drawn at random. the two balls are 1 red and 1 white. what is the probability that they come from (1) first box (11) second box (111) third box?
Click here to see answer by ikleyn(53763)

Question 202488: Can someone PLEASE help me with these? Thank You. :)

1) A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 11 birthstones be arranged around the bracelet? Leave the answer in factorial form.

2) How many subsets of four elements each exist in a set of seven elements?

3) How many different groups of 35 cars can be formed from 40 cars?

4) How many different ways can an executive committee of nine people sit at a round table?

5) What is the probability of not drawing a green marble from a jar containing 7 red, 4 green, 3 white, and 9 blue marbles?

6) A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble?

Thanks again,
~Sarah
Click here to see answer by ikleyn(53763)

Question 615732: The employees at a General Motors assembly plant are polled as they leave work. Each is asked, �What brand of automobile are you riding home in?� The random variable to be reported is the number of each brand mentioned. Is x a binomial random variable? Justify your answer.
Click here to see answer by ikleyn(53763)

Question 614980: The independent probability of a passenger arriving for a booked flight on a Maxi service is 0.8. The airline booked 225 passengers and there are 195 seats available on Maxi..Use the Normal distribution to find the probability for a given flight more booked passengers arrive than there are seats available.
Click here to see answer by ikleyn(53763)

Question 629744: There are three components that operate in a series so all must function properly if it is to be complete. The probability of failure during one period of operation are .03, .05, .06. Component failures are statistically independent.
a) Fine the probability that the system functions properly.
b) Find the probability that the system fails during one period of operation
This is what I have done so far but I'm not sure its the right answer please help me and show how you got to the answer so I understand
a) .97*.95*.94=.866
b)(.03+.05+.06)-(.03*.05*.06)=.14
Click here to see answer by ikleyn(53763)

Question 1166253: On which the sign of rxy_(correlation coefficient) depends?
Click here to see answer by amarjeeth123(574)

Question 630051: A fair coin tossed 64 times. Find the probability of getting 32 to 40 heads inclusive
Click here to see answer by n3(7)

Question 629274: Different positive four-digit integers are to be formed by using each of the digits 1,2,3,4 just once in each integer. How many different such integers can be formed if the digits 3 and 4 must NEVER be next to each other?
A. 4
B. 8
C. 12
D. 16
E. 24
Click here to see answer by ikleyn(53763)

Question 625941: The probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are 0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectfully. Find the standard deviation for the probability distribution.
Click here to see answer by ikleyn(53763)

Question 648024: "A student has to sit for an examination consisting of 3 questions selected randomly from a list of 100 questions. To pass, he should answer all the three questions. What is the probability that the student will pass the examination, if he knows the answer to 90 questions on the list."
I have asked this question before and i got the answer as .729 but its the wrong answer. I have also solved it the same but correct answer is .798 and i don't know how to get this one...?????????

Click here to see answer by ikleyn(53763)

Question 1210426: Amber rolls a 6-sided die. On her first roll, she gets a "4". She rolls again.
(a) What is the probability that the second roll is also a "4".
P(4 | 4) =
(b) What is the probability that the second roll is a "2".
P(2 / 4) =
Click here to see answer by math_tutor2020(3835)

Question 1210425: Sara draws the 3 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card.
a. Determine the probability that the second card is another 3.
P(3 3 of hearts) =
b. Determine the probability that the second card is another heart.
P (heart 3 of hearts) =
c. Determine the probability that the second card is a club.
P (club 3 of hearts) =
d. Determine the probability that the second card is a 7.
P(7 / 3 of hearts) =
Write your answers as reduced fractions.
Click here to see answer by math_tutor2020(3835)

Question 1210424: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. Express your answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).
If we randomly select one of the adults who participated in this study, compute:
P(Democrat)=
P(same)=
P(Democrat and same)=
Click here to see answer by math_tutor2020(3835)

Question 1210432: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing (getting better," "getting worse" or "about the same"). The results are shown in the table below.
better same worse
Republican 38 104 44
Democrat 12 87 137
none 21 90 118
Express your answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).
If we randomly select one of the adults who participated in this study, compute:
P (Democrat) =
P(same) =
P(Democrat and same) =
Click here to see answer by ikleyn(53763)

Question 1210431: 28
A certain virus infects one in every 600 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Give your answer as a decimal to 4 decimal places.
(a) Find the probability that a person has the virus given that they have tested positive.
(b) Find the probability that a person does not have the virus given that they have tested negative.
Click here to see answer by math_tutor2020(3835)

Question 1210436: Round each answer to at least 4 decimal places accuracy.
Owen, the inventory manager at a company's distribution center, records the following inventory for a beach towel that comes in two sizes (large or small) and three colors (Green, Black, and Yellow).
Green Black Yellow Total
Large 18 5 3 26
Small 7 13 2 22
Total 25 18 5 48
a. If Owen selects one beach towel at random, what is the probability that the beach towel is Black or Yellow?
Drive
65
oach
Climate
b. If Owen selects one beach towel at random, what is the probability that it is Small, given that it is Green?
c. If Owen selects one beach towel at random, what is the probability that the beach towel is Black or that it is Large?
d. If Owen selects one beach towel at random, Find P(Black)?
Click here to see answer by n2(82)

Question 749413: suppose a basket contains 100 red balls and 50 white balls, if two balls are drawn one after the other without replacement at random. what is the probability that they will both of the same colour
Click here to see answer by ikleyn(53763)

Question 1210434: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing (getting better," "getting worse" or "about the same"). The results are shown in the table below.
better same worse
Republican 38 104 44
Democrat 12 87 137
none 21 90 118
Express your answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).
If we randomly select one of the adults who participated in this study, compute:
a. P(Democrat) =
b. P(better) =
c. P(better | Democrat) =
d. P(Democrat | better) =
e. P(Democrat and better) =
Click here to see answer by ikleyn(53763)

Question 1210441: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 12 39 17 68
Female 16 11 33 60
Total 28 50 50 128
If one student is chosen at random,
Find the probability that the student was female GIVEN they got a 'A.
Click here to see answer by ikleyn(53763)

Question 1210439: Trey wakes up late on average 4 days out of every 5. If Trey wakes up late, the probability that he is late for school is 90%. If Trey doesn't wake up late the probability that he is late for school is 25%. Create a tree diagram by entering the percentages and then calculate the percent chance that Trey gets to school on time.
Enter your answers as a decimal or fraction between 0 and 1.
Click here to see answer by ikleyn(53763)

Question 1210440: The probability of a dry day is
2°
5
If it is a dry day, the probability that Sonia cycles to work is
3
17, that she drives to work is
17' and that
9
she takes the train to work is
17°
If it is a wet day, the probability that Sonia cycles to work is , that she drives to work is
3, and that she
takes the train to work is
3 • Determine the probability that Sonia takes the train to work.
(Create a tree diagram to help you)
You may enter a calculation that leads to your answer
Click here to see answer by ikleyn(53763)

Question 1210445: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 3 17 16 36
Female 14 15 6 35
Total 17 32 22 71
If one student is chosen at random,
36
35
71
A. Find the probability that the student was male:
B. Find the probability that the student was male AND got a "C":
C. Find the probability that the student was male OR got a "C":
D. If one student is chosen at random, find the probability that the student was male GIVEN they got a C'
Click here to see answer by ikleyn(53763)

Question 1210435: A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results.
Positive Negative Total
Pregnant 63 5 68
Not Pregnant 6 61 67
Total 69 66 135
Round your answers to the nearest thousandth.
P (positive pregnant) =
P (pregnant positive) =
P (negative pregnant) =
P(not pregnant negative) =
Click here to see answer by ikleyn(53763)

Question 744599: P(A)=0.40; P(B) = 0.25; the probability of both events occurring is 0.15. What is the probability of either event occurring?
A. 0.15
B. 0.50
C. 0.65
D. 0.80
Thank you for any help you can give.
Click here to see answer by ikleyn(53763)

Question 744600: FOr two independent events, if P(A)=3/8, and P(B) = 8/9, what is the P(A and B)?
A. 27/56
B. 1.317
C. 1/3
D. 46/100
Thank you for any help you can give
Click here to see answer by ikleyn(53763)

Question 744536: A certain automobile average 18 kilometers per liter on the highway.how many liters of gasoline are required to complete a 450 kilometer trip?
Click here to see answer by ikleyn(53763)

Question 1210452: The number of treats Addie the cat eats per minute is normaly distributed with a mean of 400 treats and a standard deviation of 120 treats. Determine the following: If 21 minutes are selected at random, what is the probability that the mean number of treats consumed exceeded 440 treats?
Click here to see answer by Edwin McCravy(20081)

Question 1210444: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 10 7 13 30
Female 3 5 8 16
Total 13 12 21 46
Write all solutions as a decimals to the fourth. If one student is chosen at random,
Find the probability that the student was male:
ach
Find the probability that the student was male AND got a "C":
imate
Find the probability that the student was male OR got an "C":
If one student is chosen at random, find the probability that the student got a C' GIVEN they are male:
Click here to see answer by Edwin McCravy(20081)

Question 1210443: Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 16 22 32 70
Female 13 17 25 55
Total 29 39 57 125
Determine the following probabilities. Write your answers as reduced fractions.
We randomly select a student. What is the probability that this student got a B?
P =
We randomly select a student. What is the probability that this student is a male who got a B?
P =
We randomly select a male student. What is the probability that he got a B?
P
We randomly select a student who got a B. What is the probability that this student is a male?
P =
Click here to see answer by Edwin McCravy(20081)

Question 1210442: Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. Use the table below to answer the following questions, you may round your answers to three decimal places, if necessary.
x P(x)
0 0.234
1 0.263
2 0.219
3 0.165
4 0.067
5 0.038
6 0.011
7 0.002
8 0.001
a. What is the probability that a randomly selected student changed their major at least once?
b. What is the probability that a randomly selected student changed their major at most twice?
c. What is the probability that they changed majors more than three times?
Click here to see answer by Edwin McCravy(20081)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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