From 5 statisticians and 6 economists, a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if: (a) there are no restrictions (b) 2 particular statisticians must be on the committee (c) 1 particular economist cannot be on the committee Answers: (a) 150 (
2. Mistakes made by data entry clerks follows a Poisson distribution with a mean 0.8 per hour. You just gave someone applying for your data entry vacancy an hours worth of data entry material. Answer the following questions. A) What is the probability they will not make any mistakes? B) What is the probability they will
The prizes that can be won in a sweepstakes are listed below with the chances of winning each one: $4000 (1 chance in 8200); $1700 (1 in 5300); $800 (1 in 4100); $200 (1 in 2200). Find expected value of the amount won for one entry if the cost to enter is 55 cents. Answer is 0.54. Please explain the procedure (without only showi
You are reviewing a scientific study where the epidemiologists sampled 1000 people from Charleston, South Carolina and measured variation at two loci, A and B. The haplotype frequencies in the sample population are: AB = 0.406 Ab = 0.214 aB = 0.214 ab = 0.166 Toward the end of the article you are reviewing, you read th
It has been determined empiracally that for a certain egg producer, the number of cracked or broken eggs X, in a randomly slected box containing six eggs, follows approximately the distribution given in the table below: X: 0 1 2 3 4 5 6 P(X): 0.9 0.07 0.02 0.005 0.003 0.001 0.001
Case DataStor Company. (Adapted from Business Cases in Statistical Decision Making by L. H. Peters and J. B. Gray.)
See attachment for Case detail: DataStor Company Case Questions 1. Assuming that the DS4000 manufacturing process is functioning properly, what is the probability that DataStor falsely detects an early warning signal to a problem with quality using the tracking system that Escalera described? (Hint: DataStor will 'falsely d
The manufacturer of the ColorSmart-5000 television set claims that 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 400 consumers who have owned a ColorSmart-5000 television set for five years. Of these 400 consumers, 316 say that thei
Assume that X follows binomial distribution with parameters n and p. Find its mean and variance.
I have completed these but have no solutions with workings out Use the binomial distribution to calculte the pobability of........Calculate the probability that the lifetime of a paticular device is........Investigate the degree of correlation between the results....Use a regression technique to estimate the job performance..
A RANDOM VOLTAGE x(t) HAS A GAUSSIAN DISTRIBUTION WITH A MEAN VALUE OF 0 V AND A STANDARD DEVIATION OF 10V. A SINGLE RANDOM SAMPLE X IS TAKEN. DETERMINE THE FOLLOWING PROBABILITIES:(a) P(X >= 0 V), (b) P(X >= 10 V), (c) P(X <= -10), (d) P(-10 V <= X <= 10 V), (e) P(absolute value of /X/ >= 10 V), (f) P(X >= 20 V), and (g) P(ab
A.)THE FORCE x(t) ASSOCIATED WITH A CERTAIN RANDOM PROCESS IS UNIFORMLY DISTRIBUTED BETWEEN THE LEVELS OF -2 N AND 6 N. PLOT THE PDF AND DETERMINE ITS LEVEL. B.)FOR THE RANDOM FORCE ABOVE, ASSUME THAT A RANDOM SAMPLE X IS TO BE TAKEN. DETERMINE THE FOLLOWING PROBABILITIES: (a) P(X = 0 N),(b) P(1.95 N <= X ,= 2.05 N),(c) P(X
A.)AN UNBIASED COIN IS FLIPPED 5 TIMES. WHAT IS THE PROBABILITY OF GETTING EXACTLY 1 HEAD ON THE 5 TRIALS? B.)WHAT IS THE PROBABILITY OF GETTING AT LEAST ONE HEAD IN THE 5 TRIALS?
Question 1 (5 points) Chose a simple random sample of size five (5) from the following employees of a small company. 1. Bechhofer 4. Kesten 7. Taylor 2. Brown 5. Kiefer 8. Wald 3. Ito 6. Spitzer 9. Weiss Use the numerical labels attached to the names above and the following list of random digits. Read the
Techware Incorporated is considering the introduction of two new software products to the market. In particular, the company has four options regarding these two proposed products: introduce neither product, introduce product 1 only, introduce product 2 only, or introduce both products. Research and development costs for prod
Normal distribution of length of stay in hospital when mean is 60 days and a standard deviation is 15.
Average length of stay in hospital is 60 days with a standard deviation of 15. What percentage of patients stay less that 50 days? The probability is 0.9535 that a patient will stay between ____(b_____and _______(c)_______days. (Hint: to start find two z-scores equidistant from the center such that the area between th
Suppose you roll a die. If you roll an odd number, you win the dollar amount corresponding to the number of dots showing. If you roll an even number, you lose the number of dollars corresponding to the number of dots. (For example, if you roll a three you win $3. If you roll a six, you lose $6.) You pay $.50 (fifty cents) t
1.If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are queens. 2. A fair coin is tossed 8 times in succession. Find the probability of getting at least 4 heads. 3. A die is rolled twice. Find the probability of getting two numbers whose sum exceeds 5. 4.How many different five-l
20% cars are green; 10 pass by; what is P that 4 are green? Please also provide formula and graph.
Problem: Complete probability and find the mean and standard dev. x=250 P(x) = .40 x= 100 P(x) = .10 x= 250 P(x) = .20 x=400
Problem: Scores for SAT normally distributed with mean of 531 and standard dev. of 114. If college includes minimum score of 600 among requirements, what % do NOT satisfy requirement? Also, graph.
Suppose that the random variable y is described by the following probability distribution function: f(y) = 2/9y for 0<or=y<or=3 and it is 0 elsewhere. a.) Find P(0.50<or=y<or=1.50) b.) Find the mean and variance of y.
A study of vehicle flow characteristics on acceleration lanes found that one out of every six vehicles uses less than 1/3 of the acceleration lane before merging into the traffic. Suppose we monitor the location of the merge for the next 5 cars that enter the acceleration lane. a.)What is the probability that none of the veh
A committee has 6 grad students (4 are men), 8 undergrads (5 are men) and 3 faculty members (1 is a man). If 1 member is selected randomly, what is the P of getting a grad student or a man?
Scott gets a hit in 32% of the hits at bat. He bats 4 times in a game (assume each at bat is independent of the others). a) What is the chance he gets a hit in all 4 at bats? b)What is the chance he gets at least 1 hit?
a)Probablity an event is likely to occur? b) P of an impossible event? c) Sample space consists of 25 separate events equally likely. What is P of each? d) True/False test. P of correct if a random guess? e)Multiple choice test with 5 possible answers for each, P of getting correcdt of random guess?
Please use Excel when necessary: Acording to a recent survey, 70% of all customers will return to the same grocery store. Suppose 10 customers are selected at random, What is the probability: a) Exactly 5 of the customers will return? b) All 10 customers will return? c) At least 7 of the customers will return? d) Less th
Access time to a supercomputer mainframe is normally distributed with an average(mean) of 92 minutes a day with standard deviation of 11 minutes.
Please use Excel when necessary: Access time to a supercomputer mainframe is normally distributed with an average(mean) of 92 minutes a day with standard deviation of 11 minutes. Find the probability that on a certain day, the access time is: a) Less than 60 minutes b) More than 100 minutes c) Between 70 and 90 minutes
1, At Acme Inc., women employees are three times as likely to take advantage of computer training courses as men employees. Seventy percent of Acme's very large work force are women. a, What proportion of Acme employees who take advantage of computer training courses are women? b, Twelve percent of the workforce at Acme ta
The cell phone industry is growing at a rapid pace. Current estimates suggest that 60% of people have cell phones.
The cell phone industry is growing at a rapid pace. Current estimates suggest that 60% of people have cell phones. Suppose 25 people were randomly and independently sampled. Let X be the number of people in the sample having cell phones. A) The variable X follows: aa) Normal distribution. bb) Continuous distribution. cc) Binomia
A) X~N(10,20). Then, P(X > 0)=P(X < 0)True or False.