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About Soroban
(Top Expert on this page)

Expertise
I can teach and explain topics up to Differential Equations. Although Statistics has always been my weakest subject, I am very capable in Combinatorics and Probability.

Experience
38 years of teaching college-level math, mostly at a two-year college.

Publications
Journal of Recreational Mathematics. In the mid-1980's I had a bi-montly column in BYTE magazine, combining recreational math and programming in BASIC.

Education/Credentials
BS and MS in mathematics, SUNY Albany

   

You are here:  Experts > Science > Mathematics > Probability & Statistics

SubjectDate AskedExpert

permutations and combinations12/7/2007Soroban
  Q: can you explain the difference between permutations and combinations?how will you find out whether a ...
  A: Monisha! A permutation is when the order makes a difference. A combination is when the order does ...
Probability Help12/5/2007Soroban
  Q: I just need to know where to start, and the formula, I have similiar questions in my notes but the ...
  A: Will! I assume that "between 5 and 7" means: 5, 6, or 7. So we must calculate those three ...
probabilty12/4/2007Soroban
  Q: what is the probability of rolling a double either on the first or second roll with two dice
  A: Nikhil! There are 36 possible outcomes with a pair of dice. There are 6 outcomes which are doubles. ...
probabilities12/2/2007Soroban
  Q: A friend who works in a big city owns two cars, one small and one large. Three quarters of the time ...
  A: Sally! This is a Conditional Probability problem. We need Bayes' Formula. We're given some ...
probabilty11/28/2007Soroban
  Q: suppose two fair, 6 sided dice are tossed. What is the probability that the sum equals 10 given it ...
  A: Nikhil! With a pair of dice, there are no neat formulas. We must list (or visualize) the ...
probabilty11/28/2007Soroban
  Q: A fair six sided die is tossed. What is the probability the first 5 occurs on the fourth roll
  A: Nikhil! The probability of a 5 is: P(5) = 1/6 The probability of another number is: P(other) = ...
Bingo probability11/28/2007Soroban
  Q: I person I met the other day runs a type of bingo on a cruise ship and I am wondering what the ...
  A: Peter! The game of Bingo does not have any easy answers. I can give one VERY simplified version, ...
Probability and Statistics11/21/2007Soroban
  Q: Women make up 24% of the science and engineering workforce. In a random sample of 400 science & ...
  A: J.R.! Who assigned this problem?? The work and the answer is way too long and tedious! Maybe they ...
spss data inputting11/20/2007Ellis Godard
  Q: i would like to analyse some data using spss, however what do i do when there is more than one ...
  A: if you're using a relatively recent version, spss will open by default to a spreadsheet window where ...
Probability and Statistics11/20/2007Soroban
  Q: I have this problem I can't seem to figure out: Suppose that a judges's verdict is correct 90% of ...
  A: Darrel! We have: P(correct) = 0.90, P(wrong) = 0.10 And we have: 10 trials "Fewer than ...
statistics11/19/2007Soroban
  Q: A probability experiment has two steps. There are two possible results for the first step, call them ...
  A: Kate! This is easier than I thought . . . There are only: 3 + 16 = 19 outcomes. I thought it ...
Probability11/14/2007Ellis Godard
  Q: Does it make real sense to calculate the probability of a completed event? If one out of 12 women ...
  A: This question is partly philosophical, rather than statistical, although there may be an empirical ...
Lottery Probability Question11/8/2007Soroban
  Q: My son has these series of questions given to him as homework in his 4th grade math class. The ...
  A: Sha Coda! Yes, you got part (A) correct. Those are the primes among the numbers from 1 to 49. (B) ...
probability queswtion help11/6/2007Soroban
  Q: i have this problem, and im not understanding it very well. there are 128 students in a class, 28 ...
  A: Ryan! There are a number of ways to solve this problem. I'll give you the simplest method. There ...
Probability10/28/2007Soroban
  Q: A box contains seven red and 13 blue balls. Two balls are selected at random and are discarded ...
  A: Ben! This is a Conditional Probability problem. You're expected to know the formula for it. ...
Statistics - Poker10/23/2007Soroban
  Q: I have another one that I think I am on the right track with but wanted to make sure... In 5 card ...
  A: Erica! Your reasoning is correct ... but incomplete. A ten-high straight would be: 6-7-8-9-10 ...
Statistics - Independence10/23/2007Soroban
  Q: I am having trouble with the following problem: Two pumps connected in parallel fail independently ...
  A: Erica! The keyword is "independent". We are given that: P(old fails) = 0.10 P(new fails) = ...
regression lines10/21/2007Ellis Godard
  Q: there are two regression lines ,why?
  A: There are an infinite number of regression lines - at least two for every equation. One represents ...
pl. reply to this question as soon as possible10/19/2007Soroban
  Q: If a gathering of 1000 people everyone shakes hand with everyone else once then how many hand shakes ...
  A: gurpreet! We can reason it out ... if we're careful. Consider any person, say "A". He will shake ...
Dependent variable and Independent varible10/19/2007Ellis Godard
  Q: Can you have a Dependent variable and not have Independent?
  A: In principle, no. The dependent variable wouldn't be considered dependent without thinking that the ...
Probability of Poker Hands10/15/2007Soroban
  Q: I am having trouble with the following problems. 1)How many 5 card poker hands are there? and 2)What ...
  A: Camilla! Who assigned this problem? This is a GIGANTIC task! Even those experienced with ...
probability10/14/2007Soroban
  Q: 25 coloured cubes, 5 each of red,blue, green, yellow,black in a bag. I choose 2. What is the chance ...
  A: Brian! Your son is 11 and he's doing Probability? . . . Wow! There are complex methods for doing ...
Probability10/2/2007Soroban
  Q: A study conducted at a certain college shows that 57% of the school's graduates find a job in their ...
  A: Deb! I don't know how you came up with your answer . . . The opposite of "at least one" is "NONE". ...
Random...or not so random...chance.10/1/2007Ellis Godard
  Q: I asked Soroban but he said it was outside his area of expertise. Perhaps you can help. I was ...
  A: I'm not sure about the math, but you're right to be suspicious. The same student being selected that ...
statistics question9/30/2007Ellis Godard
  Q: how do changes in the size of a subsample affect shape of distributions? I am taking a random ...
  A: increasing any (sub)sample size should, over the long run, "smooth" the distrubution's "curve" and ...
coin flip probability9/30/2007Soroban
  Q: If a fair coin is flipped 20 times, what is the probability that heads will come up EXACTLY 9 time. ...
  A: Kelly! You have a chart for the answers? . . . Great! There is a formula for these "binomial" ...
Inventory sample size9/27/2007Ellis Godard
  Q: i have seen a few posts with regard to sample size but i cant find how to do this, so here it goes. ...
  A: there are many resources for this on the web. search (eg on google) for "sample size calculator 95 ...
word problem9/24/2007Soroban
  Q: if we follow the hour and minute hands of a clock for 24 hours how many times will they form a right ...
  A: JM! I'm sure there's an algebraic approach to this problem, but I haven't found it yet. If we ...
Probability- Poker Hands9/17/2007Soroban
  Q: I am stuck on the following"A poker hand consists of 5 cards dealt from an ordinary deck of 52 ...
  A: Shanynn! >> For example C(4,3) = 4 ways. C(4,3) is a symbol for "4 things, taken 3 at a time". ...
Probability- Poker Hands9/17/2007Soroban
  Q: I am stuck on the following"A poker hand consists of 5 cards dealt from an ordinary deck of 52 ...
  A: Shanynn! >> A poker hand consists of 5 cards dealt from an ordinary deck of cards. >> a) How ...
Probability9/12/2007Soroban
  Q: Of the 20 light bulbs in a box, 2 are defective. An inspector will select 2 light bulbs ...
  A: Ryan! There are 20 bulbs: 2 defective and 18 good. Two bulbs are drawn at random. We want the ...
probability9/3/2007Soroban
  Q: The past records show that the probability of a river crossing the high flood mark in a year is 1/5. ...
  A: asif! There is a cute trick we can use . . . We are told that: Pr(flood) = 1/5 = 0.2 ...
dependent vs independent variables9/3/2007Ellis Godard
  Q: I am just having a bit of confusion determining the difference between the independent and dependent ...
  A: the dependent variable is the "effect", result, outcome, etc. the independent variable is the ...
probability9/2/2007Soroban
  Q: Approximately 30% of all homes in a licality have washing machines.What is the probabilty that in a ...
  A: aasef! If this is a "Binomial Probability" problem, there is far too much work involved. ...
probability8/31/2007Soroban
  Q: Six seniors and five junior are running for 4 seats of running the prom activities. Find the odds ...
  A: Jill! >> Six seniors and five junior are running for 4 seats. >> Find the odds that it contains ...
probability8/31/2007Soroban
  Q: All of David CD's are mixed up in a drawer. Twelve Cds are rock, 8 are jazz, 5 are classical. He ...
  A: Bill! >> All of David's CDs are mixed up in a drawer. >> Twelve CDs are rock, 8 are jazz, 5 are ...
probability8/30/2007Soroban
  Q: 1)Three letters are selected from the word Arrangements. Find the probability that all three are ...
  A: Matt! >> 1) Three letters are selected from the word "ARRANGEMENTS". >> Find the probability that ...
Probability8/30/2007Soroban
  Q: A jar contains 3 pennies, 8 nickels, 4 dimes, and 10 quarters. Two coins are selected at random. ...
  A: John! >> A jar contains 3 pennies, 8 nickels, 4 dimes, and 10 quarters. >> Two coins are ...
Probability8/30/2007Soroban
  Q: A jar contains 3 pennies, 8 nickels, 4 dimes, and 10 quarters. Two coins are selected at random. ...
  A: John! There are number of ways to solve this problem. I'll use the easiest method. There are ...
Sample size8/27/2007Ellis Godard
  Q: The company I work for has 2100 employees. We are interested in surveying a sample of our workforce ...
  A: the minimum sample size requirements do indeed vary by test, so you'll want to resolve that asap. ...

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