1. Suppose that 47% of Americans have flown in an airplane at least once and the 28% of all Americans have ridden on a train at least once. What is the probability that a randomly selected American has either ridden on a train or flown in an airplane? Can this problem be solved? Under what conditions can it be solved? If the p
Activity 18.1 1. Toss a coin 10 times, and after each toss record in the following table the result of the toss and the proportion of heads so far. For example, consider the sequence of tosses: H T T T H. After the first toss, the proportion of heads was 1/1, after the second the proportion of heads was 1/2, then after th
1) Die A has orange on one face and blue on five faces. Die C has orange on three faces and blue on three faces. All are unbiased dice. If the three dice are rolled, find the probability that exactly two of the three dice come up orange. 2) Suppose that A, B, and C are mutually independent events and that P(A) = 0.5, P(B) =0.
1) Let A and B be two events. a) If the events A and B are mutually exclusive, are A and B always independent? If the answer is no, can they ever be independent? Explain b) If A is a subset of B, can A and B ever be independent events? Explain 2) Flip an unbiased coin five independent times. Compute the probability of a)
1) Let A and B be independent events with P(A)=0.7 and P(B)= 0.2. Compute a) P(A and B), b) P(AUB) and c) P(A'UB'). 2) Let P(A) =0.3 and P(B) = 0.6 a) Find P(AUB) if A and B are independent b) Find P(A|B) when A and B are mutually exclusive etc....
Hospital records indicated that maternity patients stayed in the hospital for the number of days shown in the following table: # of days (X) P(X) 1 0.29 2 0.25 3 0.17 4 0.15 5 or more 0.14 Find the probability t
A survey of 254 students showed that 155 of them received academic awards, 152 received athletic awards, and 110 received both. What is the probability that a student received at least one of the two awards? What is the probability that a student did not receive either of these awards? Suppose a salesperson makes a sale
Using a favorite Internet search source, conduct a general online Internet search for "math applications" in a chosen field of interest (for example, "math applications sports" or "math applications computers"). Your search should initiate several websites related to this topic. Visit several of these websites and browse
In this activity, you will explore some ideas of probability by using Excel to simulate tossing a coin and throwing a free throw in basketball. Toss a coin 10 times and after each toss, record in the following table the result of the toss and the proportion of heads so far. For example, suppose you obtain the following sequence
Given that P(A) = a and P(B) = b express P(A U B) in terms of a and b when (i) A and B are mutually exclusive, (ii) A and B are independent. Two events R and Q such that P(R∩Q') =0.15, P(Q) =0.35 and P(R|Q) =0.1 Find the value of (b) P(R U Q), (c) P(R∩Q), (d) P(R)
1.3-1 There are total 8 digits and we wants to choose 4 digit from 8 digits for locks. Since in the number lock, we may choose combinations of repeated numbers. Thus first digit can be chosen from 8 ways. Since other second, third and fourth digits can be chosen from 8 ways . 1.3-2 since there are 4 Orchids we choos
An MBA graduate is applying for nine jobs, and believes that she has in each of the nine cases a constant and independent 0.48 probability of getting an offer. a. What is the probability that she will have at least three offers? b. If she wants to be 95% confident of having at least three offers, how many more jobs should she
The numbers 1, 2, 3, 4, and 5 are written respectively on five disks of the same size and placed in a hat...........
10. A professor is giving a T/F test in your history class. Statistics show students who do not study for the test but attend class have a 70% chance of getting the answers correct. The test is 20 questions and the student did not study. (Hint: Binomial Distribution) a. What are the odds a student gets more than 13 questi
8. You just bought a new safe: It has a key pad with 26 letters on it. The code is 4 random letters a. How many different codes are there for you to select from if no letter can be used more than once? b. If no letter can be used more than once. Does Order Matter? c. If the manufacturer decided to reduce the code from
2. The table below represents the results of a survey of 1000 workers in Q1 2009 as to which benefit they find is the most important. Retirement Benefits are most important Health Benefits are most important Single 280 200 Married 220 300 a. If a Worker is chosen at random, what is t
Assuming poisson arrivals and exponential service times, find the a. average number of cars in line. b. average time a car waits before it is washed. c. average time a car spends in the service system. d. utilization rate of the car wash. e. probability that no cars are in the system.
Of a group of patients 28% visit both a physical Therapist (A) and a chiropractor (B). 8% visit neither. The probability of visiting (A) exceeds the probability of visiting (B) by 16%. What is the probability of a randomly selected person from this group visiting (A)
QUESTION 4 A manufacturer of power tools claims that the average amount of time required to assemble their top-of-the-line table saw is fifty (50) minutes with a standard deviation of forty (40) minutes (the very large standard deviation is due to a variety of factors including a large variation in skills among the 'Do it yours
The number of orders for installation of a computer information system arriving at an agency per week is a random variable X with the following probability distribution: X P(x) 0 0.10 1 0.20 2 0.30 3 0.15 4 0.15 5 0.05 6 0.05 a. Prove that P(X) is a probability distribution. b. Find the cumulative distribution
A real estate agent has four houses to sell before the end of the month by contracting prospective customers one by one. Each customer 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 conflict can she be of selling all fou
1. A z-score of z = +3.00 indicates a location that is ____. A) near the center of the distribution B) slightly above the mean C) far above the mean in the extreme right-hand tail of the distribution D) The location depends on the mean and standard deviation for the distribution. 2. For a distribution of scores, which of th
Laptop computers produced by a company have an average life of 38.36 months. Assume that the life of a computer is exponentially distributed (which is a good assumption). a. What is the probability that a computer will fail within 12 months. b. If the company gives a warranty period of 12 months, what proportion of computers
Based on chapter learning and assuming no relationship between the questions What is process capability? Explain it in context of how it is used in your organization. Also explain, what is the learning curve, and how can it be applied?
Questions about statistics (please see attached). 1. The graph shows the results of a survey of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participated in the survey and ask each one of them to name the most annoying habit of other drivers. Let x represent the n
1. A recent survey conducted by Towers Perrin and published in the Financial Times showed that among 460 organizations in 13 European countries, 93% have bonus plans, 55% have cafeteria-style benefits, and 70% employ home-based workers. If the types of benefits are independent, what is the probability that an organization selec
It is difficult to make budgetary projections in the current economic climate. In particular, a decision regarding long-range planning will be made, in part, using the likelihood that the current recession will last less than 1.5 years. To estimate this probability, information from all previous recessions in the United States
In your opinion, the best outcome would be to have the communications contract awarded to your company but to have the construction contract awarded to a different company. This is not because you are fond of your competition, but instead because if you were to win both, the result would place some strain on your (relatively) s
Cooper Realty is a small real estate company located in Albany, New York, specializing primarily in residential listings. They recently became interested in determining the liklihood of one of their listings being sold within a certain number of days. An analysis of company sales of 800 homes in previous years produced
Dude Ranches Incorporated was founded on the idea that many families in the eastern and southern areas of the United States do not have a sufficient amount of vacation time to drive to the dude ranches in the Southwest and Rocky Mountain areas for their vacations. Various surveys indicated, however, that there was a considerable