In a second grade class containing 14 girls and 7 boys, 2 students are selected at random to give out the math papers. What is the probability that both are girls? Which would be the correct answer: (14x14)/(21x21) (14x13)/(21x20) (14x7)/(21x21) (7x7)/(21x21). In a second grade class
The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 9 minutes, there are three registration clerks, and guests arrive at the rate of one every 6 minutes, find a. Arrival and service rate. b. the probability all three clerks are idle. c. the probability a g
At a certain college, 53% of the students are female, and 21% of the students major in finance. Furthermore, 12% of the students both are female and major in finance. (a) What is the probability that a randomly selected finance major is female? Round your answer to 2 decimal places. (b) What is the probability tha
Complete the following attachment showing ALL work! 5.62 A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fai
In an acid - base titration an acid or base is gradually added until the solution is neutral. As the resulting solutions are usually colorless pH is measures to monitor the reaction. Suppose the equivalence point is reached after approx 100ml of a base (NaOH) have been added but that replicates are equally likely to indicate fro
Statistics - Probability Distribution - [Please see the attached Questions File]
1: A card is drawn and replaced 3 times from a 52-card deck. Find the probability that: A: 2 hearts were drawn b: at least 1 heart was drawn. 2: A box contains 3 red and 2 white marbles. A marble was drawn and replace 3 times. Find the probability that: A: 1 red was drawn 3: An unprepared student takes a 5-question tru
Management Science 1. There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Find the break-even point. 2. Administrators at a university are planning to offer a summer seminar. It costs $3000 to reserve
See attached.
From Likelyhood function.
Problem #3 Office Max A product with an annual demand of 1000 units has Co = $25.50 and Ch = $8. The demand exhibits some variability such that the lead-time demand follows a normal probability distribution with µ = 25 and std deviiation= 5. a. Determine the recommended order quantity. b. Determine the reorder point and safe
A component has a failure rate per hour of 4.5E-3. The failures are governed by the exponential distribution. What is the probability of this component failing at least once in 100 hours? Please explain equation used and steps to solve the problem.
A component has a failure rate per hour of 4.5E-3. The failures are governed by the exponential distribution. What is the probability of this component failing at least once in 100 hours? Please explain equation used and steps to solve the problem.
A bin contains seven parts. The probability that any part in the bin is defective is 3.5E-3. If three parts are selected at random from the bin, what is the probability that exactly two are defective? Please explain equation used and steps to solve the problem.
A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of .4E-2 per hour. The distribution of the failure rates is normal. If a sensor is selected at random from a large lot for installation in a system, what is the probability that it
A component has a failure rate per hour of 4.5E-3. The failures are governed by the exponential distribution. What is the probability of this component failing exactly once in 100 hours? Please explain equation used and steps to solve the problem.
A bin contains seven parts. The probability that any part in the bin is defective is 3.5E-3. If one part is selected at random from the bin, what is the probability that it is defective? Please explain equation used and steps to solve the problem.
If three parts are selected at random from the bin, what is the probability that exactly two are defective? Please explain step by step.
Using the given probabilities of individual events, find the probabilities that the specified combinations of those events will occur: 1. If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway. The stud
Solve using venn diagrams a and b are events in a sample space S such that P(A)=0.7,P(B)0.4 and P(A and B) = 0.2. a. draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not. c. find the probability that B occurs
1) A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from this program to be interviewed about the introduction of a new fast food outlet on ground floor of the campus building, what is the probability that all four students selected are undergraduate students. A)
1) A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. Wha
1) The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that cost is kept within budget and the campaign sa
Fenton and Farrah Friendly, husband-and-wife car dealers are soon going to open a new dealer ship. They have three offers: from a foreign compact car company, from a U.S.-producer of full sized cars, and from a truck company. The success of each type of dealership will depend on how much gasoline is going to be available during
Can you answer these problems and show work. 1. How many variations in the first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? 2. Suppose a family plans 6 children, and the probability that a particular child is a girl is ½. Find the probabilities that the 6-child family has at least
Question: For an M/G/1 system with λ=20 and µ=35, σ=.005, find: 1) the probability when the system is idle. 2) the average length of the queue. 3) the average number in the system.
80% of the community favored building a police substation in their neighborhood. 15 citizens are chosen what is the mean number favoring the substation?
The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. a. What is the probability that the mean annual snowfall during 40 randomly picked years will exceed 111.8 inches? b. What is the probability that the mean annual snowfall d
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets. Y Return Prob. 10% 0.25 11 0.35 12 0.40.
A pre-election poll shows Obama 52%, Clinton 48%. You conduct an exit survey after the next primary randomly querying 20 voters out of 100 who voted in the first hour. What is the probability that less than 50% say they voted for Obama (assuming that the poll reflects the eventual voting preference)?