Find the expected value E(X) of the following data. Round your answer to one decimal place. X 5 6 7 8 9 P(X = x) 0.2 0.2 10 0.1 0.2 0.3
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Q: PLEASE ANSWER
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- Between z= 1.42 and z= 2.17The lifetime X of an alkaline battery is exponentially distributed with λ = 0.02 per hour. What are the mean and standarddeviation of the battery’s lifetime?Select one:a. 50b. 25c. 0.02d. 1Consider the following data: x 55 66 77 88 99 P(X=x)P(X=x) 0.30.3 0.10.1 0.10.1 0.10.1 0.40.4 Copy Data Step 1 of 5 : Find the expected value E(X)E(X). Round your answer to one decimal place. all 5 steps please
- P(1.15 < Z < 2.77) =Consider the following data: x −4 −3 −2 −1 0 P(X=x) 0.3 0.1 0.2 0.2 0.2 Step 4 of 5: Find the value of P(X>−3). Round your answer to one decimal place. Step 5 of 5: Find the value of P(X<−2). Round your answer to one decimal place.A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. 1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and X2 > 100 and • • • and X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)
- tration 20.28. The mean life of a sample of 10 electric bulbs was found to be 1456 hrs. With S.D.=423 hrs. A second sample of 17 bulbs chosen from a different batch showed a mean life of 1280- hrs with S.D=398 hrs. Is there a significant difference in the means of the two samplesQ.1 The magnitude of earthquakes recorded in a region of North America can be modeled as having an exponential distribution with mean 2.6. Find the probability that an earthquake striking this region will (a) exceed 3.0; (b) fall between 2.0 and 3.0.Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e.
- amu mun nuo 19. Commute Time to Work A survey of 15 large U.S. cities finds that the average commute time one way is 25.4 minutes. A chamber of commerce executive Technology Step by Step TI-84 Plus Hypothesis Test for the M 1. Enter the data values into L1. 2. Press STAT and move the c 3. Press 2 for T-Test. Step by Step 4. Move the cursor to Data and 5. Type in the appropriate valuWorker1 Worker2 Worker3 14.84 1 IT Help Desk Questions 2 26.57 10.08 3. 24.89 18.32 19.61 The IT Help Desk supervisor from the last homework is analyzing the data collected about the mean time it takes for each Help Desk worker to solve a walk-in problem. 4 18.8 12.95 12.82 21.87 20.21 18.52 25.28 20.57 17.35 7 18.75 14.8 15.5 The supervisor believes that most walk-in problems would take at least 5 minutes but should be solved in less than 30 minutes. On 8. 23.82 18.33 13.39 9. 27.34 25.77 19.46 average, student workers should take only 15 minutes to solve any walk-in problem or decide to refer the customer to a senior IT Help Desk employee. 10 21.06 13.57 16.08 11 24.48 16.52 18.51 12 26.9 21.12 14.37 The file ITtimes.csv contains data recorded times for three 13 27.78 17.77 19.87 different student workers. For each worker, 25 walk-ins were randomly selected from last month's working hours. Remember, most statistical methods require a random sample from the population of interest. 14…Let X denote the number of hours you study during a randomly selected school day. The probability (pmf) that X can take the values x, has the following form, where k is some unknown constant. P(X = x) a. Complete the following table X P(X) b. Find the value of k. 0 0.1, if x = 0 kx, if x = 1 or 2 k(5-x), if x = 3 or 4 0, otherwise 1 2 3 4 c. What is the probability that you study at least two hours? d. What is the probability that you study exactly two hours? e. What is the probability that you study at most two hours? f. Compute the expectation E(X) g. Compute variance Var(X
