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Probability

Probability of first and second players

Please explain in detail... A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears. If HT appears, the first player wins; if TT appears, the second player wins. Would you rather be the first or second player? Explain.

Probability

A pet shop is selling a calico cat, a Siammese cat, a Persian cat, and a Himalyan cat. The Chens are going to select two cats to bring home as pets. 1. Construct a tree diagram and list the sample space. 2. Determine the probability that they select: the Persian car the Persian cat and the calici cat cats other than

Probability that both circuits are defective

A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits, without replacement, from the shelf. What is the chance that both circuits she selects will be defective? Show step by step work! Approximate the

Normal Probability: Sampling Distribution

Please provide help with this sample. I had miss this lecture last week and seem to be confuse towards getting the answer. See the attached file. The amount of time a bank teller spends with each customer has a population mean, u, of 3.10 minutes and standard deviation, of 0.40 minute. If you select a random sample of 16 cus

Probability and tree diagrams.

The probability that Simon completes his homework is 7/8 and the probability that Hannah completes her homework is 3/4. By drawing a tree diagram, find the probability that i) Simon does not complete his homework ii) Both Simon and Hannah complete their homework iii) Neither Simon nor Hannah complete their homework

Probability Community Individual Steps

3. Presume in community 1, 52% of individuals who will vote in election favor candidate A while while 48% favor candidate B. In community 2, 46% favor candidate A and 54% favor B. Community 1 is four times as large as community 2. Prior to election, a poll of 1000 randomly selected voters is taken with 800 from community 1 and 2

Probability question with conditional probability concepts

1) Presume there is a measure designed to detect depression in adolescents. This measure detects depression in people who truly are depressed 75% of the time (hit rate), but it diagnoses depression in those who are not truly depressed 20% of the time (false positive). Presume there exists a population of adolescents (infinite in

Probability - Poisson Distribution

During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour. In a 2-hour period, a. what is the probability that no boats arrive? b. what is the probability that 2 boats arrive? c. what is the probability that 8 boats arrive?

Probailitiy Questions: Poisson Distribution

Assume that customers enter a store at the rate of 60 persons per hour. (a) What is the probability that during a 5-minute interval no one will enter the store? (b) What time interval is such that the probability is 1/2 that no one will enter the store during that interval?

Poisson Distribution: Determining Calling Probability

Suppose the number of telephone calls an operator receives from 9:00 to 9:05 follows a Poisson distribution with µ = 4. (a) Find the probability that the operator will receive no calls in that time interval tomorrow. (b) Find the probability that in the next 2 days the operator will receive a total of 3 calls in that time i

Mathematics: Poisson Distribution

Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting (a) no flaws in 4 square yards of material, (b) at most 5 flaws in 4 square yards of material.

Poisson Distribution- Probability

The number of complaints a department store receives every hour follows a Poisson distribution with mean 1. Calculate the probability that the operator will receive no complaints during a one-hour lunch period.

Probability

A particular test for the presence of steroids is to be used after a professional track meet. If steroids are present, the test will accurately indicate this 95% of the time. However, if steroids are not present, the test will indicate this 90% of the time (so it is wrong 10% of the time and predicts the presence of steroids). B

Poisson Distribution

Patients arrive at the emergency room of Costa Valley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution. (a) Compute the probability of exactly 0,1,2,3,4, and 5 arrivals per day. (b) What is the sum of these probabilities, and why is the number less tha

Probability Series of Independent Games

Fran and Ron play a series of independent games. Fran's probability of winning any particular game is 0.6 (and Ron's probability of winning is therefore 0.4). Suppose that they play a best-of-5 tournament. (That is, the winner of the tournament is the first person to win 3 games.) 1. Find the probability that Fran wins the to

Several math questions

Question 1 A $400 loan is to be paid off in 66 monthly payments of $11.62. The borrower decides to pay off the loan after 18 payments. Use the rule of 78s to find the amount of interest saved. $194.13 $200.33 $195.16 $194.62 2.A pair of cuff links which sells for $100.00 has a markup rate

Super Bowl probability problem

The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?

Short Finance Problem (Four Simple Steps)

Deliverable Length: Graph plus document of explanantions and posting Details: At this point, you believe customers are now ready to begin risk analysis and understand the risk differences among various investments. The most basic fact you want to convey to them is risk and return?the greater the risk, the greater the expected

Problems: Probability, Markov Chain, Bayes' Theorem

1. A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag, what is the probability that the second marble is yellow, given that the first marble was yellow? 2. Given the following information, calculate the Predictive value positive and the Predic

Probability in the Game of Russian Roulette

In the game of Russian roulette, one inserts a single bullet into the chamber of the drum of a revolver, leaving the other five chambers of the drum empty. One then spins the drum and pulls the trigger. a) What is the probability of being still alive after playing the game N times? b) What is the probability of surviving

Determining Probabilities

A person starts out from a tree in the middle of a street, taking steps of equal length either to the left or to the right with equal probability. What is the probability that the person will again be at the same tree after taking N steps? a) If N is even? b) If N is odd?

Please place results in QM Software (Excel answer is attached)

From historical data, Harry's car wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every five minutes. One car at a time is cleaned in this example of single-server waiting line. Assuming Poisson arrival

Powerball lottery probabilities

Powerball is a lottery game in which 5 white balls are chosen from a drum containing 55 balls and one red ball is chosen from a drum containing 42 balls. to win the jackpot, a player must match all 5 white balls and the red ball. other winners and their prizes are also shown in the attached table. -Why is the probability fo

Probability

Please show the steps so I understand the process. -------------------------------------------------------- A mail order company tracks the number of returns it receives each day. Information for the last 50 days shows Number of returns Number of days 0 - 99 6 100 - 199 20 200 - 299 15 300 or more 9 a

Decision Tree Case Analysis

Mountain States Electric Service is an electrical utility company serving several states in the Rocky Mountain Region. It is conisdering replacing some of its equipment at a generating substation and is attempting to decide whether it should replace an older, existing PCB transformer. PCB is a toxic chemical known formally

Waiting Line Model Situation

In a waiting line model situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one very three hours. Assume the Poisson and exponential distributions. a. What is Mean Arrival Rate? b. What is Mean Service Rate? c. Find probability of no units in the system. d. Find average number of

Probability of rejecting a batch shipment.

The Telektronic Company purchases large shipments of fluorescent bulbs and uses this acceptance sampling plan: Randomly select and test 24 bulbs, then accept the whole batch if there is only one or none that doesn't work. If a particular shipment of thousands of bulbs actually has a 4% rate of detects, what is the probability th

Binomial Probability Distributions: Finding Values Example

1. Finding μ, σ, and Unusual Values. Assume that a procedure yields a binomial distribution with N trials and the probability of success for one trial is P. Use the given values of N and P to find the mean N and standard deviation σ, Also, use the range rule of thumb to find the minimum usual value μ - 2σ and the maximum