Find the probability that in five years' time : (a) both machines will be performing a usual function, (b) neither will be operating, (c) only machine B will be operating, and (d) at least one of the machines will be operating.
Q: The data shows that the percentage of female cigarette smokers in a certain country declined from…
A: The question is about regression Given : To find : Construct scatter plot for data of year and %…
Q: #6: Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets…
A:
Q: You are interested in the effect of a factory being inspected on its pollution output, measured here…
A: When the number of reported violations goes from 9 to 10, the probability of being inspected jumps…
Q: An experimenter wants to study the relationship between type of milk and infant growth in…
A: The experimenter randomly assigns infants to either a breast-feeding group or an infant group is…
Q: . This problem might require thought. A lamp holds 3 bulbs. There are two kinds of bulbs,…
A: Given information: Given that there are 3 lamp bulbs. The mean life-time of red bulbs is 1 day and…
Q: Q1. A software company is considering the format of its login passwords. Which of the following…
A: Counting principle of addition and multiplication will be used.
Q: Given two dice (each with six numbers from 1 to 6): (a) what is the entropy of the event of getting…
A: Entropy is a measure of uncertainty or randomness in a random variable. It quantifies the amount of…
Q: Pr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing…
A: 1) Pr[B]=29 [given]2) Pr[b]=Pr[A and b]+Pr[B and…
Q: Consider a nail salon, which only offers manicures, with two nail technicians and one waiting…
A:
Q: A bucket has three marbles. Two are black and one is white. You keep drawing until you get a while…
A: Given information A bucket has 3 marbles 2 Black, 1 white X denotes the total number of marbles…
Q: In 2013 the average houshold credit card balance was $9,884. In 2016 the average houshold credit…
A:
Q: In a retail store the stock turnover rate of an item is the number of times that the average…
A: Step: 1Sub part:- (a)Given that, clothing store sells a brand shirts each year = 300to replace…
Q: Question #34 The owner of a small deli is trying to decide whether to discontinue selling…
A: given data sample size (n) = 10P(magazine is correct) = p = 0.09x = no. of correct magazineP(x=X) =…
Q: Amazon.com, Inc. (AMZN) is one of the largest Internet retailers in the world. Best Buy, Inc. (BBY)…
A: The objective of the question is to calculate the accounts receivable turnover and the number of…
Q: A Statistics professor has observed that for several years students score an average of 112 points…
A:
Q: On each trial of an experiment, a participant is presented with a constant soft noise that is…
A: Dear student, If you find this solution helpful please upvote it. The solution is given below:
Q: Suppose that there are two identically-looking batteries in a box. The first one should last for a…
A:
Q: (a) the average time in the line. (b) the average number in the line. (c) the average time in the…
A: Here Given Arrival Rate=λ= 10 Customer per hour Service rate = μ =604= 15 Customer per hour…
Q: If two variables are positively linearly correlated, one of the variables tends to increase as the…
A:
Q: a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier…
A: Given: the time in minutes above 2 hours to create a steam and leaf for earlier period to create a…
Q: A system consists of five identical components connected in series as shown: T-2H 3 4 As soon as one…
A: Five identical components are connected in series. The components fail independently of each other.…
Q: . The lifetime (x) of an alkaline battery is exponentially distributed with lambda= 0.08 per hour. A…
A:
Q: Teddy Equipment Rental (TER) rents farm equipment in an agricultural town in Texas. Five customers…
A: Given the data regarding the arrival and service times of five customers in Teddy Equipment Rental…
Q: B1 A B2 D B3
A: Probability that A malfunctions is 0.15, therefore efficiency of A is 0.85. The Probability that B…
Q: f there is no seasonal effect on people getting sick, we would expect equal numbers of people…
A:
Q: Two pilots (X and Y) are assigned to a flight from Atlanta to Chicago. Both need to be in the…
A: Given the random variables X and Y be the delay for the flight from Cedar Rapids and delay for the…
Q: In a hypothetical city, there is a population of 200,000 people. During the year 2000, there were…
A: Given information: The total population is N = 200,000. It is given that all new cases of disease X…
Q: CD4 cells are carried in the blood as part of the human immune system. One of the effects of the HIV…
A: The data shows the 20 HIV-positive patients had their CD4 counts recorded and after using the drug…
Q: In a population of 200,000 people, 60,000 are infected with a virus. After a person becomes infected…
A: Given : Total population = 200,000 Infected People = 60,000 Non-infected people = 200,000 - 60,000 =…
Q: Consider a system that functions whenever at least five of its seven components work. Suppose that…
A: X~Binomial(n,p) P(X = x) = nxpx(1-p)n-x
Q: In a national basketball association, the top free-throw shooters usually have probability of…
A: In this question you are asking to find the probability of 11 free throws and in the next part you…
Q: In a bank there are 2 checkouts, each with its own row of infinite size: checkout 1 for “fast”…
A: In this scenario, there are two checkouts at a bank, with one serving "fast" customers and the other…
Q: 49. Suppose that a particular light bulb is advertised as having an average lifetime of 2,000 hours…
A: a) The life time of bulb follows an exponential distribution with a mean of 2000 hours. That is 1/ λ…
Q: A student goes to the library. Let events B=B= the student checks out a book and D=D= the student…
A: Note: Thank you for the question. Since multiple subparts are posted, we are answering the first…
Q: A machine has three components but can remain functional if at least two are working. uppose that…
A: Statistics Statistics deals with the collection of information, presentation,…
Q: machine consists of two components: A and B. The machine needs both components to operate. As soon…
A: Given that, A machine consists of two components: A and B. The machine needs both components to…
Q: Suppose that you start with an initial fortune of 20 dollars, and you bet one dollar each time. The…
A: a) To show that Xn is a Markov chain, we need to prove that the probability of moving to a…
Q: his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of…
A: We have given that The random variable Follows Poisson distribution with parameter λ = 6.8 Formula:…
Q: Part a) What is the expected number of policies that will pay out before the insured parties have…
A: here given , A life insurance salesman operates on the premise that the probability that a man…
Q: According to scientists, the cockroach has had 300 million years to develop a resistance to…
A: Solution:-Given thatSample size: n = 5,000Sample mean: x̄ = 13,857Standard deviation of the sample:…
Q: For the project above, suppose our rework loop was “longer.” That is, in the earlier question, we…
A: Assume that our rework loop for the project above is "longer." In other words, in the previous…
Q: (Sec. 3.2) A student is required to enroll in one, two, three, four, five, six on the desired…
A: Note:Hey there! Thank you for posting the question. As your question has more than 3 parts,…
Q: Cheryl is considering purchasing additional sewing machines to accommodate the increasing demand for…
A: Given pay off table If Cherly is pessimistic then she will choose based on Maximin rule. The minimum…
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
- A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete barrier at a speed of 35 miles per hour, and the chest compression of a crash test dummy is measured each time. They hope that the average compression if the test were repeated over and over (which we could think of as the population) would be about 2 inches, corresponding to an injury that would be painful but not fatal. In the hundred tests, the average chest compression in the crash test dummies was 2.1 inches, with an SD of 0.2 inches.(a) State the null and alternative hypotheses in terms of the problem.(b) What kind of box model will we use for this problem? A 0-1 box, or a box with other values on the tickets?(c) State the null and alternative hypotheses in terms of the box model (d) Compute the z test statistic and the p-value, using the sample average as your statistic as you compute z (e) What do you conclude?3. Suppose Chelsea has the following utility function over sure wealth: v (y) = In y (a) Consider the lottery that yields the outcome $2 with probability and the outcome $8 with probability . What is Chelsea's certainty equivalent for this lottery? 2 3* (b) For the lottery in (b), how much would Chelsea pay to have her risk taken away? (c) What is Chelsea's probability premium at $25 for a lottery that could swing her wealth $20 up or down? What about $15 up or down?In a certain year, it was estimated that 1,000,000 of the 307,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV.(b) Find the probability that a person whose test results are negative does not have HIV.(c) Find the probability that a person whose test results are positive does not have HIV.(d) Find the probability that a person whose test results are negative actually has HIV.(e) Which of the probabilities would you be interested in if you or someone close to you tested positive? the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative does not…
- Consider a service facility with four clerks. Clerk one works at rate 14/hour; Clerk two at rate 18/hour; Clerk three at rate 20/hour; and Clerk four at rate 16/hour. All service times are independent and exponential. If when you arrive there is already one person waiting, what is your expected waiting time?Suppose X-U (-54, 60) and F(t) is the cumulative distribution function. What is the probability that X is in the interval [-51, -21] or in the interval [-36, 57]? O (F(-21)-F(-51))+ (F(57) - F(-36)) O (F(-21)-F(-51)) x (F(57) - F(-36)) O F(-21)-F(-36) O F(57) - F(-51)6. A small company can employ 3 workers. Each worker independently stays on the job for an exponentially distributed time with a mean of one year and then quits. When a worker quits, it takes the company an exponentially distributed time with a mean of 1/10 of a year to hire a replacement for that worker (independently of how long it takes to replace other workers). If the company takes in $1000 per day in revenue when it has 3 workers, $800 per day when it has 2 workers, and $500 per day when it has 0 or 1 workers, what is the company's long-run average daily revenue?
- A golfer practices different parts of their game for hours. Specifically, the golfer practices:(1) putting, (2) their short game, and (3) their iron game. The amount of time spent on each partof their game is exponentially distributed. If the golfer is practicing their putting, they will alwaysswitch to their short game after an average of 30 minutes. When the golfer practices their short game,they do so for an average of 45 minutes, and then switches to putting with probability 0.6 or to theiriron game with probability 0.4. When they practice their iron game, they do so for an average of 60minutes. After practicing their iron game, the golfer will switch to putting or to their short game withequal probability.(a) Draw the CTMC rate diagram, clearly label your states and transition rates (qij ’s)(b) Find the transition rates out of the states (vi’s) and transition probabilities (Pij ’s).(c) Find the limiting probabilities (make sure to write out the balance equations).(d) In the long…Consider the following scenario: • Let P(C) = 0.3• Let P(D) = 0.8• Let P(C|D) = 0.3 A. P(C AND D) = [ Select ] ["0.30", "0.24", "0.26", "0.11"] B. Are C and D Mutually Exclusive? [ Select ] ["No, they are not Mutually Exclusive.", "Yes, they are Mutually Exclusive."] C. Are C and D independent events?[ Select ]["No, they are Dependent.", "Yes, they are Independent."] D. P(C OR D) = [ Select ] ["0.92", "0.86", "0.60", "1.1"] E. P(D|C) = [ Select ]["0.30", "0.95", "0.24", "0.80"]AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…
- You randomly recruit 23 students and tell each of them to come to the lab in two different mornings: each morning they will be offered some breakfast and will take a test. Each student will receive the light breakfast one time and the nutritious breakfast the other time (some will receive the light breakfast first, the others will receive the nutritious breakfast first, and the second time they switch). The average difference in a student’s score after eating the nutritious breakfast and their score after eating a light breakfast is 4.5, and the standard deviation of this difference is 3.6. (a) Construct a 95% confidence interval for the difference in the average score of students after having a nutritious breakfast and the average score of students after having a light breakfast.Two real numbers, x and y, are randomly selected, both from the interval [0, 10]. What is the probability that, at the same time, their sum is less than 7 and the absolute value of their difference is greater than 2?a. Find the probability that the device A functions but the device B does not. b. Find the probability that the device A or the device B or both function. c. Find the probability that the circuit operates. d. It is known that the circuit is operating, find the probability that device A is functional.
