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Probability and computing the odds

Compute the odds of each of the following events and rank them in order of decreasing likelihood. 1) picking the right lottery numbers(5 different numbers between 1 and 59) plus the right "power ball" (a number between 1 and 39). **The 5 numbers between 1 and 59 do NOT need to be chosen in the correct order. What impact does


The chart below gives the number or vehicle tags sold in each city. CITY NUMBER OF VEHICLE TAGS SOLD bristol 1,863 trevor 3,507 camp lake 2,457 salem

Find the probability.

A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen.


Please list as many different groups of complete events as possible for an experiment of your choice (Probability). Need real world example on complete events Definition of complete groups of events:A complete group of events is a group of incompatible events, such that at least one of them must occur as a result of an experi

Goodness-of-Fit and Contingency Tables

(1) Records of randomly selected births were obtained and categorized according to the day of the week that they occurred. Because babies are unfamiliar with our schedule of weekdays, a reasonable claim is that births occur on the different days with equal frequency. Use a 0.01 significance level to test that claim. Provide an e

Determining the Optimal Strategy Using a Decision Tree

The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials. The dean is considering submitting a bid of $225,000, $250,000, or $300,000 for providing this program. If the bid is $225,0

Discrete Random Variable Defined on a Finite Sample Space

1. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}). b) Use part(a) to prove that if X and Y are discrete random variable defined on the same finite sample space S, then we have E(X + Y) = E(X) + E(Y). 2. Use the result of problem 1 above to show th

Critical Path and PERT

1) A PERT project has 45 activities, 19 of which are on the critical path. The estimated time for the critical path is 120 days. The sum of all activity variances is 64, while the sum of variances along the critical path is 36. The probability that the project can be completed between days 108 and 120 is a) 0 -2.00 b)

Probability Space: Amoeba in a Pond

A single amoeba is in a pond. Each day, each amoeba present in the pond will die with probability p, will split into two live amoebas with probability q, and will stay alive but not split with probability 1 - p - q. (a) Describe a probability space for this experiment as well as you can. (b) Find the probability that after two

In a game show, a contestant is given a choice of 3 curtains.

In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!". After the contestant chooses a curtain, the host, who knows where the prize is, will always open one of the curtains (not the one chosen by the contestant) to reveal a

Probabilities of Selecting Multiples of Fixed Numbers

3. Let N = 1000 and let S = {1, 2, ... , N}. Let D_i = {m belongs to S: i|m} for integers i between 1 and N. a) Are the events D_2 and D_4 independent? Do the appropriate calculation to answer this question. Then explain why your answer makes sense. b) Are the events D_4 and D_5 independent? c) Are the events D_5 and


Average sale of product is 87,000 on a normal curve with a standard deviation of 4,000. What is the probability that sales will be less than 81,000


If the probability of seeing moose in a day in a certain region of Alaska is 0.47, what is the probability of not seeing any moose in a day there? (Points : 2) 1.53 1.47 -0.47 0.53


One card is selected at random from a deck of cards. Determine the probability that the card is a red 10. 1/12 1/26 2/13 3/13 1/13

Probability is assessed.

(a) The 7 letters from the city name, NEW YORK, are put into a bin and drawn out at random without replacement. The letters are arranged from left to right in the order they are drawn. Find the probability that the result spells NEW YORK. (b) The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Fi

Probability of a full house

Please help with the following problems. 4. In one variety of poker, players are dealt five cards from an ordinary deck of 52 cards. (a) A full house in poker is a hand of five cards of one denomination and 3 cards of another denomination. Find the probability of a player being dealt a full house. (b) Two pairs is a poke

Waiting Lines and Queuing Theory Models

Customers enter the waiting line at a cafeteria on a first come, first served basis in two serving lines. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is two per minute and the average service rate of three customers per minute,

What is the probability of getting the outcome 9?

Suppose that we have a probability space whose sample space is S = {i <- N : 3 <= i <= 12}. Suppose that the probability of getting an even outcome is 0.133 and the probability of getting a prime outcome is 0.422. What is the probability of getting the outcome 9?

Sample Space Probability

I have 2 problems. Both are attached in the file 1. Consider the experiment of choosing a whole number at random from between 1 and 10, inclusive. a. Set up a sample space for this experiment. b. What is the event that the outcome is odd? Write your answer as a set. c. What is the event that the outcome is strictly g

Express probability.

A spinner has regions numbered 1 through 15, so what is the probability that the spinner will stop on an even number or a multiple of 3?

Examine probability.

2. Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5. 3. This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B. 4. If a person is randomly selected, find the probab

Statistic question need 200 word + to decribe outcome!

Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft failing during a 10-hour flight is 0.008. Determine the probability of all four engines failing during the flight. A student decided that

Quantitative Methods- Probability Problem

The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. a) The probability that at most 7 minutes is taken to produce the part. b) The probability that between 5 and 15 minutes are taken to produce the part. c) The probability that at least 3 minutes is taken to pro

Quantitative Methods- Probability Problem

4) 55% of a restaurant's orders are from customers eating in the restaurant and 45% from the drive through window. 65% of the orders from the customers eating in the restaurant are from food and 35% from drinks. 79% of the drive through orders are from food and 21% from drinks. Use this information to find the following probabi

Compute the P-value.

Questions 1 â?" 5: According to an article in The New York Times, 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted this year. 8 out of 80 randomly chosen New York City residents reply that they smoke. At a significance level of 0.05, test the claim that the rate is still 19.3%. 1. Identify H0

Profits and probabilities

1. Business College is planning an online MBA tech program, start up cost for equipment, facilities, course development, staff recruitment and development is $350,000. College plans to charge tuition of $18,000 per student per year. The university administration will charge the college $12,000 per student for the first 100 stu

Demonstrate probability determined

1) Tire Life - The life of a tire is normally distributed with a mean of 76,000 miles and a standard deviation of 10,000 miles. a) Determine the probability that a tire will last for less than 67,000 miles. b) Determine the probability that a tire will last for more than 67,000 miles. c) Determine the probability

Five questions about probability, calculation and geometry

1. How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side? 2. If all the diagonals of a regular pentagon are drawn, how many triangles are formed? 3. If a 75-degree sector of a circle rotates around the center of a circle in 75-de