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    Probability calculation for normal distribution ..

    1. The average salary for graduates entering the actuarial field is $40,000. If the salaries are normally distributed with a standard deviation of $5,000, find the probability that a) An individual graduate will have a salary over $45,000. b) A group of nine graduates will have a group average over $45,000. 2. The natio

    Probability of Trip Duration

    The time it takes to travel from home to the office is normally distributed with: (mean) = 25 minutes and (standard deviation) = 5 minutes. What is the probability the trip takes more than 40 minutes?

    Probability of Gas Mileage

    The average gas mileage of a certain model car is 30 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 2.1, What is the probability that a car has a gas mileage of between 29.8 and 30.6 miles per gallon?

    Normally Distributed Age of Doctors

    The average age of doctors in a certain hospital is 43.0 years old with a standard deviation of 8.0 years. If 25 doctors are chosen at random for a committee, what is the probability that the mean age of those doctors is less than 43.96 years. The variable is normally distributed. Need the probability that the mean age of the

    Inventory Control - Monte Carlo Simulation

    Good Day, Could you please assist with the attached question. Regards Q3 - Inventory Control: Monte Carlo Simulation A bookstore wishes to carry a certain book in stock. Demand is probabilistic and replenishment of stock takes two days (i.e. if th

    Elements of Sample Space

    A) Toss a coin 4 time or toss 4 coins once. List the elements of the sample space of the experiment. b) how many 4-digit numbers can be formed from the digits 3.4.5.6.7.8.9 if - each digit can be used only once - the digits may be repeated?

    Employees of a local university has been classified

    Bus stats homework 2 6) employees of a local university has been classified according to gender and job type. The following Job Male female Faculty 110 80 Salaried staff 30 50 Hourly staff 60 40 If an employee is selected at random, what probability that the employee is male and salaried? 3 dec. 7) Employees of a

    Average Profit and Basic Probability

    1. A ski resort profits $1,200,000 during a good winter with lots of snow. The resort has a loss of $450,000 otherwise. The resort's historical climate data suggests that the probability of a good winter with lots of snow during any given year is 60%. What is the expected profit for the ski resort? Show significant work to justi

    Probabilities and Binomial Distributions

    An investment opportunity has several outcomes as shown in the table. The amounts are in dollars. The probability for each amount is given on the second line of the table. Please answer the questions posted in the attachment.

    Is lack of sleep causing traffic fatalities?

    Please show work. 45. Is lack of sleep causing traffic fatalities? A study conducted under the auspices of the National Highway Traffic Safety Administration found that the average number of fatal crashes caused by drowsy drivers each year was 1550 (Business Week, January 26, 2004). Assume the annual number of fatal crashes

    Normal Distribution and Final Examination Probability

    Please show work. 23. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less? b. What is the probabil

    Normal probability calculation ..

    Please show work. 5. The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (Golfweek, March 29, 2003). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving di

    A metropolitan school system consists of three school districts

    A metropolitan school system consists of three school districts-norths, south, central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%. A minimum-competency test was given to all students; 10 % of the north district students failed, 15% of the south dis

    Consider a binomial experiment with two trials and p = .4

    The use of the tables is fine for b, c, and d. 25. Consider a binomial experiment with two trials and p = .4. a. n/a b. Compute the probability of one success, f(1). c. Compute f(0). d. Compute f(2). e. Compute the probability of at least one success. f. Compute the expected value, variance, and standard deviatio

    Probability Mass Function and Room Occupany

    An entrepreneur owns a small bed and breakfast inn with five rooms. Let the random variable X be the number of rooms that are occupied by guests each night. A portion of the probability mass function appears below. X 0 1 2 3 4 5 P(x) 0.2 0.25

    Panic Attacks and Exponential Distribution

    It has been demonstrated that the time until a panic attack is experienced by students during a statistics exam can be modeled as an exponential distribution with λ equal to .037^-1 minutes. a) What is the probability that a student taking a statistics exam will experience his/her first panic attack within the first 10 m

    Interval of Pulses in a Communications Channel

    The number of pulses a communications channel receives per second can be modeled with a Poisson distribution with a rate parameter of 2.0. a. What is the probability the channel receives at least 2 pulses in a one second interval? b. What is the probability that no pulses are received in a 5 second interval?

    Mean of Distribution

    The probability distribution for the possible results of an experiment is given, Determine the mean of the distribution. X P(X) 1 0.100 3 0.300 5 0.425 7 0.175 Round mean to nearest 10th