An airplane is built to be able to fly on one engine. If the plane has two engines operate independently, and each has a 1% chance of failing in any given four-hour flight, what is the chance the plane is able to fly to complete a four-hour flight to Oklahoma?

An airplane is built to be able to fly on one engine. If the plane has two engines operate independently, and each has a 1% chance of failing in any given four-hour flight, what is the chance the plane is able to fly to complete a four-hour flight to Oklahoma?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

See similar textbooks

Similar questions

If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .
A producer of pocket calculators purchases the main processor chips in lots of1,000. The producer would like to have a 1 percent rate of defectives but willnormally not refuse a lot unless it has 4 percent or more defectives. Samples of50 are drawn from each lot, and the lot is rejected if more than two defectives arefound.a. What are p0, p1, n, and c for this problem?
An investor has decided to commit no more than $80,000 to the purchase of the common stocks of two companies, Company A and Company B. He has also estimated that there is a chance of at most a 1% capital loss on his investment in Company A and a chance of at most a 4% loss on his investment in Company B, and he has decided that these losses should not exceed $2000. On the other hand, he expects to make a(n) 15% profit from his investment in Company A and a(n) 18% profit from his investment in Company B. Determine how much he should invest in the stock of each company (x dollars in Company A and y dollars in Company B) in order to maximize his investment returns. What are the (x,y) values? What is the optimal profit?
An investor has decided to commit no more than $80,000 to the purchase of the common stocks of two companies, Company A and Company B. He has also estimated that there is a chance of at most a 1% capital loss on his investment in Company A and a chance of at most a 4% loss on his investment in Company B, and he has decided that these losses should not exceed $2000. On the other hand, he expects to make a(n) 15% profit from his investment in Company A and a(n) 18% profit from his investment in Company B. Determine how much he should invest in the stock of each company (x dollars in Company A and y dollars in Company B) in order to maximize his investment returns.(x, y)= What is the optimal profit?$
Q)There are two tests for a disease, one is rapid and the other is slow. Given that an individual is infected, the rapid test will register positive 40% of the time, while the slow test will register positive 80% of the time; additionally, both tests will be positive 35% of the time. Assume currently, 20% of the population has the virus. Use Bayes theorem to calculate the chance that a person has the virus conditioned on getting negative results for both tests?
In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normal
In a comparative study of two new drugs, A and B, 350 patients were treated with drug A, and 225 patients were treated with drug B. (The two treatment groups were randomly and independently chosen.) It was found that 241 patients were cured using drug A and 157 patients were cured using drug B. Let p1 be the proportion of the population of all patients who are cured using drug A, and let p2 be the proportion of the population of all patients who are cured using drug B. Find a 90% confidence interval for −p1p2 . Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
32. A hardware company sells a lot of low-cost, highvolume products. For one such product, it is equallylikely that annual unit sales will be low or high. Ifsales are low (30,000), the company can sell theproduct for $20 per unit. If sales are high (70,000),a competitor will enter and the company will be ableto sell the product for only $15 per unit. The variablecost per unit has a 20% chance of being $10, a 60%chance of being $11, and a 20% chance of being $12.Annual fixed costs are $20,000.a. Use simulation to estimate the company’s expectedannual profit.b. Find a 95% interval for the company’s annualprofit, that is, an interval such that about 95% ofthe actual profits are inside it.c. Now suppose that annual unit sales, variable cost,and unit price are equal to their respective expectedvalues—that is, there is no uncertainty. Determinethe company’s annual profit for this scenario.d. Can you conclude from the results in parts a and cthat the expected profit from a simulation is…
You are considering purchasing stand-alone shares in two companies: Company A and Company B. While both companies expect a rate of return of 15% under normal market conditions, the possible returns under strong and weak economies differ. There is a 30% chance of a weak economy outcome, a 30% chance of a strong economy outcome, and a 40% chance of a normal outcome. For Company A, under a strong economy, they expect a return of 75%. Under a weak economy, they expect a return of -45%. For Company B, under a strong economy, they expect a return of 23%. Under a weak economy, they expect a return of 7.5%. 1. Create a probability distribution table for both companies. 2. Calculate the standard deviation for both companies. 3. With the distribution, create either a bar graph or a bell curve to graph the two companies. 4. From your calculations, describe which company you would consider investing in, if you were risk averse.
Electrical Stimulation for Fresh Insight? If we have learned to solve problems by one method, we often have difficulty bringing new insight to similar problems. However, electrical stimulation of the brain appears to help subjects come up with fresh insight. In a recent experiment1 conducted at the University of Sydney in Australia, 40 participants were trained to solve problems in a certain way and then asked to solve an unfamiliar problem that required fresh insight. Half of the participants were randomly assigned to receive noninvasive electrical stimulation of the brain while the other half (control group) received sham stimulation as a placebo. The participants did not know in which group they were. In the control group, 20% of the participants successfully solved the problem while of the participants who received brain stimulation solved the problem.1Chi, R. and Snyder, A., ‘‘Facilitate Insight by Non-Invasive Brain Stimulation,’’ PLoS ONE, 2011; 6(2). (a) Is…
Electrical Stimulation for Fresh Insight?If we have learned to solve problems by one method, we often have difficulty bringing new insight to similar problems. However, electrical stimulation of the brain appears to help subjects come up with fresh insight. In a recent experiment1 conducted at the University of Sydney in Australia, 40 participants were trained to solve problems in a certain way and then asked to solve an unfamiliar problem that required fresh insight. Half of the participants were randomly assigned to receive noninvasive electrical stimulation of the brain while the other half (control group) received sham stimulation as a placebo. The participants did not know in which group they were. In the control group, 20% of the participants successfully solved the problem while 60% of the participants who received brain stimulation solved the problem.1Chi, R. and Snyder, A., ‘‘Facilitate Insight by Non-Invasive Brain Stimulation,’’ PLoS ONE, 2011; 6(2). (c) Make a two-way…
1 -The Monte Carlo method consists of estimating the value of a random variable by the average gave a large number of samples. 2- the expected value of a random variable is where the average of samples of this variable converges when the number of samples tends to infinity according to the law of large numbers. 3- The mean of a number n of random samples is also a random variable. Therefore, it always produces the same result. a) only 1 is correct b) only 2 is correct c) only 1 and 2 is correct d) only 2 and 3 is correct e) all are correct