1) You are interested in investing, and are considering a portfolio comprised of the following two stocks. Their estimated returns under varying market conditions are provided: Condition Probability of condition Return on security A Return on security B Economy Sluggish 0.3 0.16 -0.05 Economy Normal 0.
1. A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. 2. The probability is 1 in 4,000,000
On average, 40 percent of U.S. beer drinkers order light beer. (a) What is the probability that none of the next eight customers who order beer will order light beer? (b) That one customer will? (c) Two customers? (d) Few than three? (e) Construct the probability distribution, make a graph of its PDF, and describe its shape.
1. A study of 200 advertising firms revealed their income after taxes: Income after Taxes Number of Firms Under $1 million 102 $1 million to $20 million 61 $20 million or mor
1. A social scientist for a children's advocacy organization has randomly selected 10 Saturday-mornings television cartoon shows and carried out a content analysis in which he counts the number of incidents of verbal or physical violence in each. For 10 cartoons examined the counts were as follows: 27, 12, 16, 22, 15, 30, 14, 30
Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: Be sure to include information about how you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals. (Job Satisfaction is an attitude about one's job. It
Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 200 antennas, find the probability that: None of the antennas is defective. Three or more of the antennas are defective.
A Tamiami shearing machine is producing 10 percent defective pieces, which is abnormally high. The quality control engineer has been checking the output by almost continuous sampling since the abnormal condition began. What is the probability that in a sample of 10 pieces: That exactly 5 will be defective? That 5 or more
Dr. Stallter has been teaching basic statistics for many years. She knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do not do their homework, 60 percent will pass. Mike Fishbaugh
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. if a garage is robbed, wha
Please help with the following probability questions. The condition for the question is that the deck of cards has 52 cards and among them are 12 face cards. 1. a) What is the probability of choosing 6 face cards out of 8 chosen (through binomial distribution holds, meaning with replacement)? b) What is the probability of
Based on p=.60, probability that a randomly selected homeowners will say no to newspaper subscription. n=10 sample size a. The probability that 6 out of 10 people will say no to a newspaper subscription. b. The probability that 2 out of 10 people will say no to a newspaper subscription.
NCAA Basketball Tournament. Each year, 64 college basketball teams compete in the NCAA tournament. Sandbox.com recently offered a prize of $10 million to anyone who could correctly pick the winner in each of the tournament games. The president of that company also promised that, in addition to the cash prize, he would eat a b
SOB's systolic blood pressure is a random variable with a mean of 145 mmHG and a standard deviation of 20mmHG. If the SOB's blood pressure is taken at a randomly chosen moment what is the probability it will be below 135? What is the probability it will be over 175?
A new product has the following profit projections, associated probabilities, and indifference probability: Profit Probability Indifference Probability $150,000 .10 -- $100,000 .25 .95 $50,000 .20 .70 0 .15
Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: Be sure to include information about how you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals. (Job Satisfaction is an attitude about one's job. It
See attached A final exam in sociology has a mean of 72 and a standard deviation of 9.2....
Refer to the Baseball 2005 data, which reports information on the 30 major league teams for the 2005 baseball season. www.baseball1.com/statistics/ a. Select the variable team salary and find the mean, median, and the standard deviation. = Mean = X Median = s = Standard Devia
3. A tube of Listerine Tartar Control toothpaste contains 2.4 ounces. As people use the toothpaste, the amount remaining in any tube is random. Assume the amount of toothpaste left in the tube follows a uniform distribution. From this information, we can determine the following information about the amount remaining in a toothpa
1. A search engine site claims that, on average, one out of five visitors clicks on an ad. a. If 7 users visit the site, what is the probability that at least one clicks on an ad? b. If 7 users visit the site, what is the probability that less than three of them click on an ad? c. If 700 users visit the site, would the pr
A person purchases a package of 10 ball-point pens which, unknown to the purchaser, contains 4 defective pens. Of the first 2 pens used by the purchaser, find the probability that at least 1 pen is defective.
It is claimed that 70% of the residents in a large town approve of the current zoning law. Four residents are to be randomly selected. Find the probability that: a. None of the four approves. b. Exactly two approve. c. At least one approve
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? Why or why not? An insurance company states that the probability that a particular car will be involved in a car
If the joint probability density of X and Y is given by f(x, y) = {(1/4)(2x + y) for 0 < x < 1, 0 < y < 2 0 else where } Find: a) the marginal density of X b) the conditional density of X given Y = 1 c) the conditional density of Y given X = 1/4
The tread wear (in thousands of kilometers) that car owners get with a certain kind of tire is a random variable whose probability density is given by f(x) = ( (1/30)e-x/30 for x > 0 0 for x < 0} What tread wear can a car owner expects to get with one of the tires? (Could you explain the in
Emery, Finnerty & Stowe - Ch. 6, problems A6, B6, & B10 (a only)- A6. (Expected portfolio return) Musumeci Capital Management has invested its portfolio as shown here. What is Musumeci's expected portfolio return? B6. (Expected return and risk) Procter & Gamble is considering three possible capital investment
Lotto, a lottery game conducted by the Ohio State Lottery Commission, consisted of selecting six numbers from the 42 numbers 1, 2, ...,41, 42. (No repetitions are allowed, and order does not matter.) The Commission selects by chance the six winning numbers. You pay $1 to play. You get a free ticket if three of your numbers matc
Binomial Distribution 1. State a question that can be answered in a "binomial" manner, such as Do you normally read the front page of a newspaper at least 4 times a week? (yes or no). Determine ahead of time whether answers should be recorded or counted as a "yes " or "no". 2. Take a survey. Ask 22 individuals to respo
Q2 It is claimed that 70% of the residents in a large town approve of the current zoning law. Four residents are to be randomly selected. Find the probability that: a. None of the four approves. b. Exactly two approve. c. At least one approve.
a. Find the value of "a" in the following discrete probability distribution: x P(x) -2 a 0 0.35 2 0.25 b. Determine whether or not the following is a probability distribution. Give a reason for your answers. x P(x) 3 3/5 4 2/5 5 1/5 6 - 1/5 c. Determine whether or not the following is a probability distribut