3-44 A real estate agent has four houses to sell before the end of the month by contacting prospective customers one by one. Each costumer has an independent 0.24 probability of buying a house on being contacted by the agent. a) If the agent has enough time to contact only 15 customers, how confident can she be of selling a
If P is a normally distributed random variable with a mean of 50 and a standard deviation of 2, what is the probability that P is between 47 and 54?
The local college enrollment program evenly admits undergraduate and graduate students. If a random sample of 4 students is selected from the program to be questioned about the possibility of a study abroad program, what is the probability that all 4 students selected are undergraduate students?
Of the 600 workers questioned for a company survey, 400 had college diplomas, 100 were unmarried, and 60 were unmarried college graduates. What is the probability that a worker of the company is unmarried or has a college diploma?
1. An auto supply store uses a fixed order size with safety stock system to control the inventory of a type of motor oil it sells. Demand for the oil averages 20 units per day (7300 units per year) and the standard deviation of the daily demand is 4.3 units. For this item, the cost of placing each order is $35. The store purchas
Each question has 5 possible answers of which only one is correct. a) What is the probability the student will guess them all right? b) The probability that he will guess AT MOST 12 correct. c) The probability that he will guess at least one correct. d) The mean and standard deviation of the number of the correct ans
1) Let G be the event that a girl is born. Let F be the event that a baby over 5 pounds is born. Characterized the union and the intersection of the two events? 2) Consider the event that a player scores a point in a game against team A and the event that the same player scores a point in a game against team B. What is the u
The Tchebychev inequality can also be stated in the following way: For any random variable x with mean equal to μ and variance equal to Δ². The minimum probability of X belong to the interval X?[ μ-k, μ+k] is at least: P( | X- μ|<k ≥ 1-( Δ/k²) Suppose that the random variables x1, x2, x3... xn form a random sa
The Poisson distribution is given by the following P(x,λ)=e ^ -λ * λ^x! x=0,1,2,3.....j..... Where λ>0 is a parameter which is the average value μ in poisson distribution. a) show that the maximum poisson probability P(x=j,λ) occurs at approximately the average value, that is λ=j if λ>1. (hint: you can take t
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 20. If 500 people take Grebex to lower their blood pressure, theoretically how many will encounter undesirable side effects?
See attached file. Please show all work.
Simulate the emergency calls for 3 days, using a random number table. Compute the average time between calls and compare this value with the expected value of the time between calls from tthe probability distribution. Rescue receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probability di
DYNACO MANUFACTURING COMPANY PRODUCES A PRODUCT IN A PROCESS CONSISTING OF OPERATIONS OF FIVE MACHINES. THE PROBABILITY DISTRIBUTION OF THE NUMBER OF MACHNES THAT WILL BREAK DOWN IN A WEEK FOLLOWS. MACHINES BREAKDOWNS PROBABILITY PER WEEK 0 .10 1
1. The Monty Hall problem is as follows: A contestant on a game show is given the opportunity to select one of three curtains on stage. One curtain hides a valuable prize and the other two hide worthless prizes. After the contestants selection, Monty, who knows what is behind each curtain, draws back one of the remaining cur
Please show all work. 1. Suppose that X has a Poisson distibution with parameter "lambda" = 3 Find P(X>0) 2. Suppose you toss ten coins and count the number of heads. What is the probability that the number of heads you count will lie within two standard deviations of the mean? 3. Consider a sequence of 600 Berno
For a normal population with µ = 100 and σ = 20 find the following. (a) What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores? z = ____ p = ____ (b) What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores? z = ____ p = ____
Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each of the 20 plays is 50-50. If you bought 20 tickets, what is the chance of winning 15 or more prizes? A. 0.250 B. 0.021 C.
In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 20 graduates selected at random, what is the probability that exactly 8 will go to college? A. 0.114 B. 0.887 C. 0.400 D. 0.231.
40% of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: a. What is the probability all three of the selected homes have a security system? b. What is the probability none of the selected homes have a security system? c. What is the probability that at least one has
A manufacturer of headache medicine claims it is 70 percent effective within a few minutes. That is, out of every 100 users 70 get relief within a few minutes. A group of 12 patients are given the medicine. If the claim is true, what is the probability that 8 have relief within a few minutes? A. 0.001 B. 0.168 C. 0.667 D
On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are abse
A combination lock has six settings, each containing numbers from 0 to 9. Determine: (a) how many different possible combinations exist for the lock. Identify (b) the probability of selecting (i.e., properly identifying) at random the combination of the lock on your first attempt. Finally, (c) now assuming that none of the
1. You possess a 'standard deck of playing cards' (n = 52). First, (a) identify the probability of selecting a spade, club, or heart. Second, (b) calculate the probability of selecting a spade, heart, diamond, or face card. Identify (c) the probability of selecting (in sequence) a two and a red jack (assuming that the fi
For any normal distribution, what is the probability of selecting a score greater than the mean? A. 50% B. 25% C. 34.13% D. cannot be determined without additional information
1. A real estate investor has two houses: A and B. Each house may increase in value, decrease in value, or remain unchanged. Consider the experiment of investing in the two houses and observing the change (if any) in value: a. How many experimental outcomes are possible? b. Show a tree diagram for the experiment.
Let X be the positive difference between the scores obtained from two dice. a. find the probability mass function for X b. show that X follows a valid probability mass function c. Find P(X>=2) d. Find mu e. Find the variance [Hint: An example of a positive difference is |2-6|=4. So zero is considered a positive differen
A lot of 1000 components contains 300 that are defective. Two components are drawn at random and are tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Please refer to the attachment for the questions for this given scenario.
A manufacturing company is trying to decide whether to add a new product line and the marketing department has been asked to help with this decision. Information on previous products produced indicates that 10% are huge successes, 20% are modest successes, 40% break even, and 30% are losers. However before the product decision
See the attached file. 1) The time it takes for a light bulb to burn out. Continuous The weight of a t-bone steak Continuous The number of people in class who have type B blood. Discrete 2) The mean (expected value) of the random variable is 3) The variance of the random variable is 4) The stand
Two cards are drawn without replacement from a pack X measures hearts drawn and Y measures clubs drawn, both are random variables. 1. What is the joint probaility mass function of x and y. Explain 2. What are the marginal probability mass functions of x and y.