The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.
Assume a binomial probability distribution with and . (Round all z values to 2 decimal places.) Compute the following: (a) The mean and standard deviation of the random variable. (Round your "σ" to 4 decimal places and mean to 1 decimal place.) (b) The probability that X is 16 or more. (Use the rounded values fou
An employer wants to set a time limit so that 90% of the employees will finish a job on time. Past history has shown that the time required to do the job is normally distributed and has a mean time of 28 minutes with a standard deviation of 5 minutes. How much time should the employer allow employees to finish the job? (Round
1: Given the standardized normal distribution (with a mean of 0 and a standard deviation of 1, as in table E.2), what is the probability that A: Z is less than 1.57? B: Z is greater than 1.84? C: Z is between 1.57 and 1.84? D: Z is less than 1.57 or greater than 1.84? 2: The breaking strength of plastic bags used for p
Probability A certain state is contemplating creating a weekly lottery, the revenues from which will be used to fund improvements in the state's public education system. The commission chartered to develop the guidelines for the proposed lottery envisions using a process whereby six (6) balls will be randomly selected from a
1: When a customer places an order with Rudy's On-Line Office Supplies, a computerized accounting information system (AIS) automatically checks to see if the customer has exceeded his or her credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.05. Suppose that, on a given d
Accident records given by an insurance company give the following information. The probability that an insured driver has an accident is 0.15. If an accident occurs, the damage to the vehicle amount to 20% of its market value 80% of the time, to 60% of its market value with probability 0.12, and a total loss with a probability o
An auditor takes samples from ledgers to decide whether to certify or reject the ledger. The sampling method used is to select 10 entries at random from the ledgers and then analyze each for errors. If the auditor finds no errors he certifies the ledger. If he finds 2 or more entries with errors he rejects the ledgers. If the au
Consider Obama's health care plan. There are = #s of males and females. 50% of the females approve (A) of the plan and 70% of the males do not approve (N) of the plan. If a simple random sample of 1 person is selected from the population determine: P(A/M) P(A) P(F U A) P(F/A)
High temp for January 1st is normally distributed with a mean of 40 degrees and a standard deviation of 5 degrees. Determine the probability that the Jan 1st high temp will be exactly 40 degrees. Determine the probability that the Jan 1st temp will be above 48 degrees. If Jan 2nd has the same high temp probability dis
According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down in January, it will be down for the year. According to an article in The Wall Street Journal, this theory held for 28 out of the last 34 years. Suppose there is no truth to this theory; that is, the pr
1. Use the following to answer questions: The table below presents the probability distribution for X = the number of email messages you will receive in the next 10 minutes. X 0 1 2 3 P(X) .35 .35 .25 .05 a. What is the probability that no emails will be received? b. What is the probability that at least one email w
A box contains 3 blue marbles and two red marbles. If two marbles are drawn randomly and without replacement, find the probability that (a) at least one of the marbles is blue, (b) at least one of the marbles is red, (c) two blue marbles are drawn, (d) two red marbles are drawn.
Supposed you had a sample space of S = [0,2*pi) and a random variable X(y)=cos(y). What is the probability that {X>0} and {X<=1/4}? What is the standard deviation of X? Also, what is the mean of X?
See attached data set. Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: Begin your email to AIU by first providing an overview of the database, i.e. a story about the characteristics which may include the types of variables included, etc. Be
Unit 2 Test 1. The United States National Centre for Education Statistics compiles enrolment data on American public schools and reports the information in Digest of Education Statistics. The following table displays a frequency distribution for the enrolment by grade level in public secondary schools for a given year. Freque
27. In 1998, the average age of students at UTC was 22 with a standard deviation of 3.96. In 1999, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work. 29. If A and B are independent events with P(A) = 0.4 and P(B) = 0.6
It is estimated 30% of all adults in United States invest in stocks and that 83% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 25% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly c
The Sony corporation produces a Walkman that requires two AA Batteries. The mean life of these batteries in this product is 35.0 hours. The distribution of the battery lives closely follows the normal probability distribtion with a standard deviation of 5.5 hours. As a part of their testing program Sony tests samples of 25 batte
5.10 Given P(A) = .70, P(B) = .30, and P(A ∩ B) = .00, find (a) P(A ∪ B) and (b) P(A | B). (c) Sketch a Venn diagram and describe it in words 5.16 Given P(A) = .40, P(B) = .50. If A and B are independent, find P(A ∩ B). 6.4 Pepsi and Mountain Dew products sponsored a contest giving away a Lamborghini spo
Problem 1 The mean selling price of new homes in a city in 2010 was $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. A) What is the probability that the sample mean selling price was more than $110,000? B) What is the probability that the sample m
Question 1 Consider a random variable, z, that has a standardized normal distribution. Determine the following probabilities: a. P(0 < z < 1.96) b. P(z > 1.645) c. P(1.28 < z < 2.33) d. P(-2 < z < 3) e. P(z > -1) Question 2 Bowser Bites Industries (BBI) sells large bags of dog food to warehouse clubs. BBI uses an au
Suppose the length of a typical televised football game, including all commercial timeouts, is normally distributed with a mean of 2.45 hours and standard deviation 0.37 hour. Consider a televised football game that begins at 2:00 in the afternoon. The next regularly scheduled broadcast is at 5:00. What is the probability t
If random samples, each with n = 9 scores, are selected from a normal population with  = 80 and  = 18, and the mean is calculated for each sample, then the average of all the sample means would be ____. A random sample of n = 4 scores is obtained from a normal population with  = 20 and  = 4. Wh
For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x. 1. Determine P (x = 4). a. 0.05 b. 0.10 c. 0.15 d. 0.20 2. Find P (x >= 4). a. 0.60 b. 0.45 c. 0.75 d. 0.55 3. What is P (2 < x <= 5)? a. 0.70
See attached data file. Using attached data set compose an email to the head of the American Intellectual Union which discusses the following: Begin email to AIU by first providing an overview of the database, i.e. a story about the characteristics which may include the types of variables included, etc. Be sure to inclu
See attached data file. Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: Begin your email to AIU by first providing an overview of the database, i.e. a story about the characteristics which may include the types of variables included, etc. B
An automobile dealer sells two brands of new cars. One, C, is primarily American in original; the other, G, is primarily Japanese. The dealer performs repair work under warranty for both brands. Each warranty job is classified according to the primary problem to be fixed. If there is more is more than one problem in a given job,
3 In a simple random sample of 1000 households, 150 households happen to own a barbecue grill. Based on the characteristics of the population, the expected number of grill owners in the sample was 180. What are the values of pie, p, and n? 4 For a population of five individuals, television ownership is as follows:
A particle arrives to a random point x uniformly distributed on [-1; 1]. There are two devices independently detecting this particle; one detects the particle with probability p(x) and another with probability q(x). What is the conditional distribution of the point x of arrival, given that the particle was detected by both devic