6) One must select from a set of 12 components that are known to contain 4 faulty components. The selection is made at random so that a selection of any component is equally likely. a) What is the probability of drawing exactly 1 faulty component if 3 different components are drawn? b) What is the probability of drawing
Thirty percent of the population in a southwestern community are Spanish-speaking Americans. A Spanish-speaking person is accused of killing a non-Spanish speaking American. Of the first 12 potential jurors, only 2 are Spanish-speaking Americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias
TRUE/FALSE 1. Probabilistic techniques include uncertainty and assume that there can be more than one model solution. 2. Objective probabilities that can be stated prior to the occurrence of an event are classical or a priori. 3. The probabilities of mutually exclusive events sum to zero. 4. A joint probability is the
1. A researcher calculates the expected value for the number of girls in five births. He gets a result of 2.5. He then rounds the result to 3, saying that it is not possible to get 2.5 girls when five babies are born. Is this reasoning correct? 2. A researcher reports that when groups of four children are randomly selected
The time per week a student uses a lab computer is normally distributed, with a mean of 6.2 hours and a standard deviation of 0.9 hours. A student is randomly selected. Find the probability that the student uses a lab computer between 5.7 and 6.5 hours per week and the probability that the student uses a lab computer more than 5
Suppose that a population of adults is surveyed to measure the number of hours per week spent on home computers. In the survey, the number of hours is normally distributed with a mean of 7 hours and a standard deviation of 1 hour. Find the probability that a randomly selected adult spends between 6.7 hours and 9.3 hours on a hom
In a large section of statistics class, the points for the final exams are normally distributed with a mean of 72 and a standard deviation of 9. Grades are to be assigned according to the following rule. 1) the top 10% receive A 2) the next 20% receive B 3) the middle 40%receive C 4) the next 20% receive D 5) the bott
(See attached file for full problem description) As reported by the Federal Bureau of Investigation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the attached table. A murder case in which the person murdered was between 20 and 59 years old is selected at r
A famous restaurant owner noticed that in the past 20 years his hamburger supply shows a normal distribution in weight. Average weight was 10.0 ounces with a standard deviation of 0.3 ounces after they were cooked. (Consider normal distribution) * What is a probability that a customer gets a hamburger that weighs at least 1
(See attached file for full problem description) The mean height of women in a certain population (ages 20-29) is mu = 66 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean for the sample, is greater than 66.8 inches? Assume sigma = 2.75 inches. --- PLEASE USE EXCEL F
1- The accounting department at Weston Materials, Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. a. Determine the z values for 29 and
1) When writing about the probability that it will rain in Boston on July 4 of next year, a newspaper reporter states that the probability is 1/2, because either it will rain or it will not. Is this reasoning correct? 2) In a recent year, 389 of the 281,421,906 people in the United States were struck by lighting. Estimate t
(1) An instructor obsessed with the metric system insists that all multiple-choice questions have 10 different possible answers and only one is correct. What is the probability of answering correctly if a random answer is picked? An event is unusual if probability is 0.05 or less, so is it unusual to answer the question by c
Computer company makes computer chips. Chips made with a 27% yield, meaning that 27% of them are good and the rest are defective. 1. If one chip is picked randomly, find the probability that it is not good. 2. If 2 chips are randomly picked, find the probability that they are both good. 3. If 5 chips are picked randomly
Going fishing in a lake with bass weighing an average of 3 pounds with a standard deviation of 0.3 pounds 2 fish caught. What is the probability that both catches were 3.5 pounds or heavier? 4 fish caught with 2 of them in the lowest 20% of the weight distribution. Other 2 were in the top 10% of weight distribution. Estim
Seven households have the following number of creatures living there, 6,5,8,9,7,8,9. The standard deviation of creatures living in these households? Give the five number summary of distribution for creatures living in these houses. --- 30% of people own a house with one garage, 40% own a house and parking space,
1)When writing about the probability that it will rain in Boston on July 4 of next year, a newspaper reporter states that the probability is ½, because either it will rain or it will not. Is this reasoning correct? 2)In a recent year, 389 of the 281,421,906 people in the United States were struck by lighting. Estimate the
Probabilities through Simulations 1)Dice Simulation - Use Statdisk to simulate 1000 rolls of a pair of dice. Sort the results, then find the number of times that the total was exactly 7. ___________. Based on that result, estimate the probability of getting a 7 when two dice are rolled._____________. How does this es
66. Ninety students will graduate from Lima Shawnee High School this spring. Of the 90 students, 50 are planning to attend college. Two students are to be picked at random to carry flags at the graduation. a. What is the probability both of the selected students plan to attend college? 1. P (A) + P (B) = b. What is the
Jerry can open up a small shop, large shop, or no shop. There will be a 5 year lease on a building he wants to make the correct decision. Jerry is also thinking about hiring a consultant to conduct a market research study. If the study is conducted, the results could be either favorable or unfavorable. Develop a decsion tree
Jason must decide how many cases of cheese to manufacture each month. The probability that the demand will be 6 cases is 0.1, for 7 cases is 0.3, for 8 cases is 0.5, and for 9 cases is 0.1. The cost of each case is $45 and the price Jason gets for each case is $95. Any case not sold by the end of the month is of no value due to
Probability: 1.You flip a coin n times.Please answer the following questions about the fraction f of the tosses that show heads. A. Lets say n=100. Compute exactly the prob that the fraction of the coins showing heads is f=0.5 B. Say n=100 and consider the prob that f=0.5. Show that this probability can be approximated us
Suppose that during a football game, lemonade sells for $15 per gallon but only costs $4 per gallon to make. If they run out of lemonade during the game, it will be impossible to get more. On the other hand, leftover lemonade has a negligible value. Assume that you believe the fans would buy 10 gallons with probability 3/10, 11
In the attachment this problem is formulated in terms of noninteracting particles.
I need some help with this question containing a decision tree and analysis: Bob is a second year MBA student contemplating his employment situation. He has three prospects: • He has a "standing" offer from Company A for $65K. This offer does not expire. • He has an "exploding" offer from Company B for $75K. This offe
1. For each of the following stats, prove the below or give counterexamples: a. If 2 events A & B are independent, then A & B' are also independent. b. Let's say that 3 events A,B,C have probabilities satisfying P(ABC)=P(A)P(B)P(C),then the events A & B are independent. c. If P(A|B)>P(A), then P( A|B' )< P(A). (you may assume
(See attached files for full problem description) 1. A pizza shop offers twenty toppings. No topping is used more than one. In how many ways can a six-topping pizza be formed? 2. Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
Find the distribution function. See attached file for full problem description.
(See attached file for full problem description) Two fair dice have both had two of their sides painted red, two painted black, one painted yellow and one painted white. (a) when this pair of dice is rolled, what is the probability that both will show the same color? (b) What is the probability that only one of the dice wil
Suppose a worker needs to process 400 items. The time to process each item is exponentially distributed with a mean of 2 minutes, and the processing times are independent. Approximately, what is the probability that the worker finishes in less than 7 hours?