Two marbles are selected, one at a time from a jar of marbles containing 10 black, 10 brown, 10 white and 10 green marbles. Let x represent the number of white marbles selected in 2 separate selections from the jar. (A) If this experiment is completed without replacing the marbles each time, explain why x is not a binomial
1. If the IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. (a) Find the probability that a randomly selected person has an IQ score between 88 and 112. (Show work) (b) If 100 people are randomly selected, find the probability that their mean IQ score is greater than 103. (Show work) 2.
6. Determine whether each of the distributions given below represents a probability distribution. Justify your answer. (a) x 1 2 3 4 P(x) 1/4 1/12 1/3 1/6 (b) x 3 6 8 P(x) 0.2 2/5 0.3 (c) x 20 30 40 50 P(x) 3/10 -0.1 0.5 0.3
1. Find the following probability for the standard normal random variables z P( -1.5< z < 1.5) 2. Find the area under the standard normal probability distribution between the following pairs of z- scores. A. Z= 0 and z= 3.00 B. z= 0 and z= 1.00 C. Z = 0 and z = 2.00 D. Z = 0 and z = 0.62 E. z = 0 and z = 0.39
A baseball player hits 59 home runs during a season with 161 games. What is the empirical probability that the player would hit at least one home run during any given game of the season? On the basis of the answer how many home runs would we expect the player to hit during any stretch of 8 games during the season?
1. The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table. Low Medium High
Two fair dice are tossed, and the face on each die is observed. a. Use a tree diagram to find the 36 sample points contained in the same space. b. Assign probabilities to the sample points in part a. c. Find the probability of each of the following events: A = {3 showing on each die} B = {sum of two numbers showing
Given a normal distribution with a mean of 100 and a standard deviation of 10, if you select a sample of n = 25, what is the probability that the sample mean is a. less than 95? b. between 95 and 97.5? c. above ?102.2? d. There is a 65% chance that the sample mean is above what value?
Calculate the following probabilities: a) Flipping "heads" with a normal coin five times in a row. b) Rolling a "6" with one die. c) Rolling a "7" with two dice. d) Drawing a jack OR a red card (with replacement). e) Drawing an ace, followed by a king (with replacement).
A company that crafts home and garden features has collected some data from routine quality control studies on its mowers. The last 30 days' findings are attached as an Excel document to this post containing 200 sample weights of mower blades. They do their best to implement in-process quality checks to remain in control and man
A particular airline has 10:00 a.m. flights from San Francisco to New York, Atlanta, and Miami. The probabilities that each flight is full are 0.60, 0.40, and 0.50 respectively, and each flight is independent one another. a) What is the probability that all flights are full? b) What is the probability that only the New York f
1. Define probability and explain its three perspectives. Provide an example of each. 2. Explain the concept of mutually exclusive events. How do you compute the probability P(A or B) when A and B are, and are not, mutually exclusive. 3. What is the standard error of the mean? How does it relate to the standard deviation of
11 Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is___
** Please see the attached file for the complete problem description ** 15) According to the empirical rule, what percent of data should fall between +/1 stdev? +/-2 stdev? +/- 3 stdev? How does this compare to the a. Results for a random shape at 20 samples? b. Results for a random shape at 200 samples? c. Results for a
I've attached an Excel template for this problem and it needs to be answered using this template. Every home football game for the past eight years at Eastern State University has been sold out. The revenues from ticket sales are significant, but the sale of food, beverages, and souvenirs has contributed greatly to the overa
A manufacturer receives voltage regulators from the three different companies, A, B, and C. The proportions of the voltage regulators coming from the three companies are 65%, 27%, and 8%, respectively. If 90% of the voltage regulators are from A, 88% from B, and 70% of those from C meet the manufacturers expectations, what is th
A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth. a. Find the probability that a given 200-foot length of cloth will have no flaws. b. What is the probability that there will be at least one flaw within a given 2
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is ______
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. N = 50, p = 0.5 The mean, µ, is ______ (round to nearest tenth as needed) The variance is ______ (round to nearest tenth as needed) The standard deviation is ______ (round to nearest tenth as needed)
The probability of an adverse reaction to a flu shot is 0.10. Let r be the number of people suffering a reaction from a flu shot that has been given to a group of 5 people. a. Find P(r) for r = 0, 1, 2, 3, 4, 5 b. What is the expected number of people that will have an adverse reaction to the shot? c. compute the standard d
You roll two fair dice, a red one and green one a. what is the probability of getting a 4 on the red die and a 2 on the green die? b. what is the probability of getting a 4 on the red die or a 2 on the green die? c. suppose we know that a 4 was rolled on one of the dice. What is the conditional probability of that the s
See the attached file. 1. Of households in the United States, 18 million, or 17%, have three or more vehicles, as stated in USA Today (June 12, 2002), quoting the Census Bureau as the source. (a) If two U.S. households are randomly selected, find the probability that both will have three or more vehicles. (Give your answer cor
A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average s
1. A certain brand of electric stove has a length of life that is approximately normally distributed with a mean life of 15.7 years and a standard deviation of 4.2 years (Blaisdell, 1998). a. What percentage of stoves would we expect to last less than 13.5 years? b. What percentage of stoves would we expect to last betwee
Attached is a table showing the prevalence of Alzheimer's disease. Suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. 1. What is the probability that all three of these individuals have Alzheimer's disease? 2. What is the probability that at least one of t
Some Japanese consumers are willing to pay premium prices for Maine lobsters. One factor in the high cost is the mortality rate during the long distance shipping from Maine to Japan. Suppose the number of deaths x per 10 lobsters is given by the following distribution. An air shipment of 750 crates, each containing 10 lobsters,
a) The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day, i. five ships will arrive; ii. too many cargo ships will arrive. b) The following represents a random sample of
A credit union claims that the credit card debts carried by its clients are normally distributed with a mean of $3050 and a standard deviation of $950. a) What is the probability that a randomly selected client has a balance of less than $2900 on his credit card? b) The credit union wants to advertise some financial produ
A student has to sit a multiple-choice test with fi ve questions. Each question has five answer choices. Only one of the choices is correct. He does not know what the answer is to any question, so he guesses the answer randomly. Find the probability of answering a) the fi rst question correctly; b) the first two questions
Winter Park Hotel Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a separate waiting line, during the peak check-in time of 3:00 P.M. to 5:00 P.M. Observation