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

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


Question 44519: Two dice are rolled 20 times. Compute Pe(13), the empirical probability of obtaining a score of 13. Explain the result very briefly.
Click here to see answer by venugopalramana(3286) About Me 

Question 44517: Kenji is doing an experiment in mathematics class. He has flipped a coin 10 times and has obtained a tail on each trial. He says that his luck is sure to change and that he will surely obtain a head on the next trial.
a. How would you respon to Kenji?
b. Have you ever heatd individuals in gaming situations make claims similar to Kenji's? Are they justified? Explain.
I don't know where to even start on this one.

Click here to see answer by venugopalramana(3286) About Me 

Question 44515: Kenji is doing an experiment in mathematics class. He has flipped a coin 10 times and has obtained a tail on each trial. He says that his luck is sure to change and that he will surely obtain a head on the next trial.
a. How would you respon to Kenji?
b. Have you ever heatd individuals in gaming situations make claims similar to Kenji's? Are they justified? Explain.
I don't know where to even start on this one.

Click here to see answer by venugopalramana(3286) About Me 

Question 44522: Match at least one of the computed probabilites with each of the descriptive sentences listed:
Pe(A) = 0 I matched this one with This event never occurred
Pe(C) = -0.5 I matched this one with There was a bug in the program
Pe(E) = 1.7 I matched this one with There was a but in the program
But the following I can't get:
Pe(B) = 0.5
Pe(D) = 1
Pe(F) = 0.9
I have to match them to the following
This event occurred every time
There was a bug in the program
This event occurred often, but not every time
This event never occurred
This event occurred half the time.

Click here to see answer by stanbon(26259) About Me 

Question 44640This question is from textbook Mathe,atical Ideas
: If Three Fair coins are tossed, finds the probability of each of the folllowing numbers of heads.
6. at least 1
This question is from textbook Mathe,atical Ideas

Click here to see answer by longjonsilver(2297) About Me 

Question 44657: Hi I am stumped with this
Let Z be a standard normal random variable, dtermine the value of c such that
p(-c _< Z _ Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places

Click here to see answer by stanbon(26259) About Me 

Question 44688: How many four letter code words can be formed using a standard 26 letter alphabet if repetition is allowed? and then if repetition is not allowed?
Click here to see answer by fractalier(1804) About Me 

Question 44685: Two dice are thrown. Determine the number of ways to obtain a score of at least 4. Hint In how many ways can you fail to obtain a score of at least 4? How many outcomes are possible all told?
Click here to see answer by fractalier(1804) About Me 

Question 44692: Hi could you show me how to do this kind of a problem? Thanks
A newspaper article reported that people spend a mean of hours per day watching TV, with a standard deviation of hours. A psychologist would like to conduct interviews with the of the population who spend the most time watching TV. She assumes that the daily time people spend watching TV is normally distributed. At least how many hours of daily TV watching are necessary for a person to be eligible for the interview? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.





Click here to see answer by stanbon(26259) About Me 

Question 44687: There are 26 students in fifth grade class. All of the students speak either Spanish or Japanesee, and some speak both languages. If 18 of the students speak Spanish and 14 can speak Japanese, How many speak both Spanish and Japanese and how many speak Spanish, but not Japanese?
Click here to see answer by stanbon(26259) About Me 
Question 44687: There are 26 students in fifth grade class. All of the students speak either Spanish or Japanesee, and some speak both languages. If 18 of the students speak Spanish and 14 can speak Japanese, How many speak both Spanish and Japanese and how many speak Spanish, but not Japanese?
Click here to see answer by checkley71(8405) About Me 
Question 44687: There are 26 students in fifth grade class. All of the students speak either Spanish or Japanesee, and some speak both languages. If 18 of the students speak Spanish and 14 can speak Japanese, How many speak both Spanish and Japanese and how many speak Spanish, but not Japanese?
Click here to see answer by josmiceli(3003) About Me 

Question 44683: An electrician must connect a red, a white and a black wire to a yellow, a blue, and a green wire in some order. How many different connnections are possible?
Click here to see answer by josmiceli(3003) About Me 

Question 44682: If four coins are tossed, construct a possibility tree to determine in how many ways one can obtain two head and two tails.
Click here to see answer by checkley71(8405) About Me 

Question 44722: What is the probability of a mother giving birth to a son if the first three children were girls (not triplets)? Explain your answer. I have no idea how to find the answer to this problem. Please help me.
Click here to see answer by stanbon(26259) About Me 

Question 44671: Hi could you help me wit this problem
Let z be a standard normal random variable. Determine the value of c such that
p(1.05_ carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places
Thanks for the help

Click here to see answer by stanbon(26259) About Me 

Question 44721: If the probability of any individual being in an airplane accident is .0005 in any given year, what is the probability of that same individual being in three separate, unrelated airplane accidents in a single year? Explain your answer. Please help me figure this one out. Thank you so much.
Click here to see answer by fractalier(1804) About Me 

Question 44684: How many different signals can be sent up on a flagpole if each signal requires three blue and three yellow flags and the flags are identical except for color.
Click here to see answer by Nate(3495) About Me 

Question 44681: If repetition of digits is not allowed, how many three-digit numbers can be formed using the digits 1,2,3,4, and 5?
Click here to see answer by Nate(3495) About Me 

Question 44766: In how many ways can you draw a club or a face card from an ordinary deck of playing cards?

I know that you have to use the multiplication principle of counting but I just don't know where to start

Click here to see answer by Nate(3495) About Me 

Question 44767: I have a bag of three red marbles and two green marbles. two marbles are drawn in succession without replacing the marble drawn first.
I have to construct a possibility tree for this two stage experiment and then I have the let A e the first stage event that the marble drawn first is green, and let B be the second-stage event that the second marble drawn is red. List the outcomes of the 2 stage experiment that are in the coupound event A and B.
PLEAS HELP Where do I start?

Click here to see answer by stanbon(26259) About Me 

Question 44720: A gambler is dealt the following hand from a randomly shuffled normal 52 card deck: the 10, Jack, Queen and King of Spades. Note: In a 52-card playing deck there are 13 different cards: Ace, one, two, three, four, five, six, seven, eight, nine, ten, Jack, Queen, King. Each set of 13 cards can be one of four suits: Diamond, Hearts, Clubs, Spades. Explain your answer. I have no idea how to do this problem. Please help me.
Click here to see answer by stanbon(26259) About Me 

Question 45016: Five cards are chosen from an ordinary deck. In how many ways is it possible to get exactly 3 hearts, 1 diamond, and 1 spade?
Click here to see answer by stanbon(26259) About Me 

Question 45329: The sum of the squares of two consecutive even integers is 52. Find the integers.
Click here to see answer by tutmath(14) About Me 

Question 45331: Compute the variance and standard deviation and describe what this figure means for this data set
16, 17, 23, 23, 26, 27
This is what I came up with for the standard deviation.
Add all amounts together and divide by 6 = 22

I then took each amount and subtracted 22 from each and squared the answers.
36+25+1+1+16+25 = 94

I then took those answers, added them together = 94. I took the amount of numbers (6) and subtracted 1 to give me 5.
From this I divided 94 by 5 and got the answer 4.33.
After this I have no idea what to do.
I think the figure would be roughly symmetrical.
Please help. Thank you to whoever answers. YOu're an angel.

Click here to see answer by Nate(3495) About Me 

Question 45362: Determine the probability of obtaining a total score of 3 or 4 on a single throw of two dice.
Click here to see answer by Earlsdon(4898) About Me 

Question 45364: Suppose that you randomly select a two digit number (that is one of 00,01,01,...99) from a sequence of random numbers obtained by repeatedly spinning a spinner. What is the probability that the number selected is less than 10? That the number selected is even or is less than 50. and that the number selected is even given that it is less than 50?
Click here to see answer by stanbon(26259) About Me 

Question 45365: In a certain card game, you are dealt two cards face up. You then bet on whether a third card dealt is between the other two cards. (For example, a 10 is between a 9 and a quenn, and so on.) What is the probability of winning your bet if you are dealt a jack and a queen? and What is the probability of winning your bet if you are dealt a 5 and a queen?
Click here to see answer by stanbon(26259) About Me 

Question 45363: Five black balls numbered 1,2,3,4, and 5 and seven white balls numbered 1,2,3,4,5,6, and 7 are placed in an urn. If one is chosen at random, what is the probability that it is numbered 5 or that it is white? and What is the probability that it is numbered 5 given that it is white?
Click here to see answer by stanbon(26259) About Me 

Question 45382: If you flip 10 pennies at once, what are the chances 3 will come up heads and 7 will come up tails? Answer is 15/128 – but how do you get that answer?
Click here to see answer by AnlytcPhil(958) About Me 

Question 45469: Hi,
Can you please help me with this question?
A study of 100 QDA professors showed that the time to create a test question was 13.0 minutes. The standard deviation of the population was 2. Find the 90% confidence interval of the population mean.
Thanks for your help

Click here to see answer by stanbon(26259) About Me 

Question 45466: how do i find statistics on the following: Please show me your step by step work. thanks
Tom has a average of 92.5 for his 3 history tests. what does he need to make on the 4th test to get at average of 94%?
The Girl Scouts are selling flower arrangements with a choice of 4 different kinds of flowers, 3 kinds are greenery, and with or without baby's breath. How many different flower arrangements do they offer?
The Bible Quiz team master has 6 trophies won by quiz teams this year, but only enough space on the book shelf to display 3 at a time. How many different ways can he display the trophies if order is important?

Click here to see answer by stanbon(26259) About Me 

Question 46603: I really need help to make sure I did this right. I have to show my work, and I think I did it right. (I hope anyway) Thank you in advance!
Question: If you flipped a coin three times, what would the probability be that you would get heads on all three times. (show work)
My Answer:
P(H)= number of outcomes that are heads = 1
---------------------------------------------
total number of possible outcomes = 3

Click here to see answer by Nate(3495) About Me 

Question 46732: The traveling squad for a basketball team consists of two centers, five forwards, and four guards. In how many ways can the coach select a starting team of one center, two forwards, and two guards?
Click here to see answer by consc198(59) About Me 

Question 46744: 6. Using the following distribution of scores and the standard deviation formula of:
s = √∑(x-mean)^2/n-1

where: s = standard deviation
x = individual’s score
n = number of scores






fill in the missing values (worth 70 points):

score deviation (x – mean) (x – mean)2
student 1: 55 ______ ______ ______
student 2: 60 ______ ______ ______
student 3: 62 ______ ______ ______
student 4: 43 ______ ______ ______
student 5: 100 ______ ______ ______
student 6: 90 ______ ______ ______
------------------------------------------------------------------
∑x = ____
n = ____
mean = _____
standard deviation = _____

Click here to see answer by AnlytcPhil(958) About Me 

Question 46743: 3a. If the standard deviation of a group of students’ test scores was calculated as 6.5 points and the mean of their distribution of scores was 75.5%, how many standard deviations was a student’s score who scored 80%?
3b. Using the data above in question 3a, calculate the student’s standardized Z score. Use the formula:
z =X-mean/s

Click here to see answer by AnlytcPhil(958) About Me 

Question 46757: Hello, My problem is:
What is the probability of getting TTH, in that order, when tossing a fair coin?
This is the answer I got:
3^3 = 3 in 27
Is that correct?

Click here to see answer by adamchapman(301) About Me 

Question 46734: From a pool of 15 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many ways can the offices be filled, if each of the 15 candidates can hold any office?
Click here to see answer by Nate(3495) About Me 

Question 46733: If a license plate of an automobile consists of 2 digits followed by 4 letters, how many distinct ways can a license plate can be formed?
Click here to see answer by checkley71(8405) About Me 

Question 47168: 1)Find the probability of drawing a heart or a black card from a standard deck of cards.
2)Find the probability of drawing an ace and a jack when two cards are drawn (without replacement) from a standard deck of cards.

Click here to see answer by Nate(3495) About Me 

Question 47200: 1)Find the probability of getting a three first and then a four when the die is rolled twice.
2) Find the probability of drawing a heart or a club from a standard deck of cards
3)Find the probability of drawing a heart or a black card from a standard deck of cards.

Click here to see answer by Nipun(1) About Me 

Question 47250: In a class of 27 students, what is the probability that three or more were born in the same month? about 3 out of 27 students
.

Click here to see answer by SparkleHelp123(1) About Me 

Question 47461: 40 students enrolled in three areas of study.
23 students in music
25 students in math
27 students in comp. science
7 took mathematics and music only
5 took music and computer science only
6 took math and comp. sci. only
7 took all three subjects
What is the probability a student took exactly one of the three courses?

Click here to see answer by venugopalramana(3286) About Me 
Question 47461: 40 students enrolled in three areas of study.
23 students in music
25 students in math
27 students in comp. science
7 took mathematics and music only
5 took music and computer science only
6 took math and comp. sci. only
7 took all three subjects
What is the probability a student took exactly one of the three courses?

Click here to see answer by mszlmb(115) About Me 

Question 47488: Two cards are drawn from a shuffled deck of three red and two black cards. They are chosen in sucession. Find the probability that both the first and second card is red.
Is it 3/10?

Click here to see answer by stanbon(26259) 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, 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