1) What is the probability of having every bin filled with at least one ball if...
1) What is the probability of having every bin filled with at least one ball if n balls are distributed randomly in to m bins ? Do all case m < n, m = n , m > n
2) what is the probability of having two aces and 3 black cards in choosing five cards from a shuffled deck?
3 a) The probability of success is p, failure 1-p what is the probability of having at least k success in n trials?
b) How many ways can have k success in the n trails ?
Homework Answers
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1) What is the probability of having every bin filled with at
least one ball if...
A person draws 5 cards from a shuffled pack of cards. Find the probability that the...
A person draws 5 cards from a shuffled pack of cards. Find the probability that the person has at least 3 aces. Find the probability that the person has at least 4 cards of the same suit. Two cards are drawn from a pack, without replacement. What is the probability that both are greater than 2 and lesser than 8. A permutation of the word "white" is chosen at random. Find the probability that it beings with a vowel. Also...
Design for safety probability homework 1) If you have 2 dice, what is the probability of...
Design for safety probability homework 1) If you have 2 dice, what is the probability of rolling a 3 and 2) If you have 2 dice, what is the probability of rolling a 4 and 3) If you have 2 dice, what is the probability of rolling a 2 ora 4) If you have a deck of cards, what is the probability of 5) If you have a deck of cards, what is the probability of a 1 or 3...
I have the solutions here and do not require the answer. Instead, I would like an...
I have the solutions here and do not require the answer.
Instead, I would like an explanation of why the solutions are the
way they are.
a.) This is (bins)^(balls)? Correct? What if there were
indistinguishable balls? Would there be another formula?
b.) The answer is (2^5)/(3^5) for the first bin to be empty but
wouldn't this be same probability be the same for ANY of the three
bins to be empty?
c.) This one I have a good understanding,...
An urn contains M white and N black balls. Balls are randomly selected, one at a...
An urn contains M white and N black balls. Balls are randomly selected, one at a time, until a black one is obtained. If we assume that each ball selected is replaced before the next one is drawn, what is the probability that a) exactly x draws are needed? b) at least k draws are needed?
Elementary Probability and Statistics - Binomial Probability Distribution El Camino College Math 150 Statistics Cohort Coho...
Elementary Probability and Statistics - Binomial Probability Distribution El Camino College Math 150 Statistics Cohort Coho Act 13 Task 1: Many probability experiments have only two outcomes. Either we have a pop quiz tomorrow or we don't, either I get the question right or wrong, either the couple has a girl or a boy. This type of probability distribution is called a binomial probability distributiorn must be certain criterion met before we can call an experiment a binomial probability 1....
13. What is probability of having 4 aces from a 52 card deck in a seven...
13. What is probability of having 4 aces from a 52 card deck in a seven card hand? 14. Suppose the events D1 and D2 represent disasters, which are rare: P(D1) = 10-6 and P(D2) = 2 x 10-6 (a) What can you say about the probability that at least one of the disasters occurs? (b) What can you say about the probability that they both occur?
(c) If you buy 4 spark plugs, what is the probability that at least one is...
(c) If you buy 4 spark plugs, what is the probability that at least one is defective? 5. At Least One Girl: Suppose a couple plans to have 4 children and the probability of a boy is 0.50. Find the probability that the couple has at least one girl. 6.* Lie Detector: Suppose a lie detector test can detect a lie 95% of the time. You get hooked up and tell 10 truths and 10 lies. What is the probability...
1. If you are tossing a fair coin 4 times and X - the absolute difference...
1. If you are tossing a fair coin 4 times and X - the absolute difference between the number of HEADs and the number of TAILs, write down the pmf table for X. Find its mean and the standard deviation. [51 2. If you are drawing two cards (one-by-one with replacement), without looking, from a well-shuffled deck of 52 cards, what is the total count of the sample space? What is P(both are aces)? What is P(at least one of...
We roll two fair 6-sided dice. (1) What is the probability that at least one die...
We roll two fair 6-sided dice. (1) What is the probability that at least one die roll is 6? (2) Given that two two dice land on different numbers, what is the conditional probability that at least one die roll is a 6? Thint] You may use the graphical approach (Lecture 5 slide 11-12) to help you solve the problem. Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that the 13th card is...
V n balls are numbered one through n; draw them (without replacement); what is the probability...
V n balls are numbered one through n; draw them (without replacement); what is the probability that at least one ball will be drawn with its number equal to the number of balls drawn? As n -oo what is the probability? Use P(A U BU...)P(A) +P(B) +-P(AnB)- This gives -1)1 n n-1 = 1 ~-~ 0.632121 kl Your assignment is to show how we get these last two equalities
Design for safety probability homework 1) If you have 2 dice, what is the probability of rolling a 3 and 2) If you have 2 dice, what is the probability of rolling a 4 and 3) If you have 2 dice, what is the probability of rolling a 2 ora 4) If you have a deck of cards, what is the probability of 5) If you have a deck of cards, what is the probability of a 1 or 3...
I have the solutions here and do not require the answer.
Instead, I would like an explanation of why the solutions are the
way they are.
a.) This is (bins)^(balls)? Correct? What if there were
indistinguishable balls? Would there be another formula?
b.) The answer is (2^5)/(3^5) for the first bin to be empty but
wouldn't this be same probability be the same for ANY of the three
bins to be empty?
c.) This one I have a good understanding,...
Elementary Probability and Statistics - Binomial Probability Distribution El Camino College Math 150 Statistics Cohort Coho Act 13 Task 1: Many probability experiments have only two outcomes. Either we have a pop quiz tomorrow or we don't, either I get the question right or wrong, either the couple has a girl or a boy. This type of probability distribution is called a binomial probability distributiorn must be certain criterion met before we can call an experiment a binomial probability 1....
13. What is probability of having 4 aces from a 52 card deck in a seven card hand? 14. Suppose the events D1 and D2 represent disasters, which are rare: P(D1) = 10-6 and P(D2) = 2 x 10-6 (a) What can you say about the probability that at least one of the disasters occurs? (b) What can you say about the probability that they both occur?
(c) If you buy 4 spark plugs, what is the probability that at least one is defective? 5. At Least One Girl: Suppose a couple plans to have 4 children and the probability of a boy is 0.50. Find the probability that the couple has at least one girl. 6.* Lie Detector: Suppose a lie detector test can detect a lie 95% of the time. You get hooked up and tell 10 truths and 10 lies. What is the probability...
1. If you are tossing a fair coin 4 times and X - the absolute difference between the number of HEADs and the number of TAILs, write down the pmf table for X. Find its mean and the standard deviation. [51 2. If you are drawing two cards (one-by-one with replacement), without looking, from a well-shuffled deck of 52 cards, what is the total count of the sample space? What is P(both are aces)? What is P(at least one of...
We roll two fair 6-sided dice. (1) What is the probability that at least one die roll is 6? (2) Given that two two dice land on different numbers, what is the conditional probability that at least one die roll is a 6? Thint] You may use the graphical approach (Lecture 5 slide 11-12) to help you solve the problem. Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that the 13th card is...
V n balls are numbered one through n; draw them (without replacement); what is the probability that at least one ball will be drawn with its number equal to the number of balls drawn? As n -oo what is the probability? Use P(A U BU...)P(A) +P(B) +-P(AnB)- This gives -1)1 n n-1 = 1 ~-~ 0.632121 kl Your assignment is to show how we get these last two equalities
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