6.3 The daily milk consumption, in liters, dispensed by a milk booth located in a city is a random variable, X, having a continuous uniform distribution with A = 90 and B = 120. Find the probability that on a given day, the amount of milk dispensed by this booth will be (a) at most 100 liters; (b) more than 105 liters but less than 115 liters; (c) at least 105 liters.
Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and…
A:
Q: he taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a…
A: Solution: Let x be the taxi and takeoff time for commercial jets has normal distribution with mean…
Q: please solve it
A: The objective of this question is to calculate the probability of a certain number of events…
Q: which of the following random variables isn't discrete? (a) the number of children in a family (b)…
A:
Q: 15. Which is a discrete random variable? X = "weight of the microprocessor inside your computer" Y =…
A: The random variables X,Y and W are just weight, height and time respectively. So they can take any…
Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 9 minutes and a…
A: Given : Mean = μ = 9 Standard deviation = σ = 2.8 sample size = n = 33
Q: Let X be a chi-squared random variable with 23 degrees of freedom. What is the probability that X is…
A: Given,degrees of freedom (d.f)=23
Q: Consider a carnival game where a player is given two chances to throw a ball to hit a moving target.…
A:
Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…
A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?
Q: The mean number of breakdowns of a conveyor belt per month at a local factory is 56. Assume that…
A: Given : (i)Average rate of breakdown of the conveyer belt is 56 per month(ii)Breakdowns are random…
Q: Weight of goods shipped in containers of a certain size is anormally distributed random variable. It…
A: We want to find the mean and standard deviations
Q: Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy…
A: Given Information: μ = 28 ml/kg Sample size (n) = 7 Population standard deviation (σ) = 4.75…
Q: (i) only one breakdown, (ii) at least one breakdown.
A:
Q: If X is a random variable having a normal distribu-tion, what are the probabilities of getting a…
A:
Q: In the airline business, "on-time" flight arrival is important for connecting flights and general…
A: We have given two samples- For sample 1- Sample size, n1 = 16 Sample mean, x1-bar = 74.9% Standard…
Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and…
A: Given, x is the taxi and takeoff time for commercial jets which follows normal distribution with-…
Q: A factory in Louisville, Kentucky, produces baseball bats. The diameter of the bat should be 9 cm.…
A:
Q: In the airline business, "on-time" flight arrival is important for connecting flights and general…
A:
Q: 14. Which is a discrete random variable? OX = "weight of the microprocessor inside your computer"…
A: We want to find discrete random variable.
Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and…
A: Given X~ N(8.6,3.4^2) We want to find the probability by using standard normal table
Q: According to the American Lung Association, 85% of adult smokers started smoking before turning 21…
A: Solution: As per the guidelines first three sub parts should be answered when more than three sub…
Q: dentify the following as discrete or continuous random variables. (a) Q: Total number of points…
A: Discrete random variables : Discrete random variables are those variables which are not in decimal…
Q: which of the following random variables isn't discrete? (a) the number of children in a family (b)…
A: Since we know that A discrete random variable is a variable thatcan be counted.while on the other…
Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.2 minutes and…
A: Given that, n=36,μ=8.2,σ=2.7 (a) The probability that for 36 jets on a given runway, total taxi and…
Q: a) A continuous random variable can be represented as X e R. (True/False).
A: As per guidelines we answer question only when multiple different question are given. Please post…
Q: (i) Mean lifetime of these batteries (ii) Probability that such battery will last more than 300 hrs.
A:
Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 9 minutes and a…
A:
Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…
A: Given that. X~N( μ , ?^2 ) μ=240 , ?=20 Z-score =( x - μ )/?
Q: Let wages denote a person's hourly wages and edu denote their years of education. Suppose that…
A: The relationship between "wages" and "education" is .Where,The error term follows .The given value…
Q: Suppose that a machine has a certain
A: Let T be the random variable such that the failure time. The provided mean is β=9. The probability…
Q: Which of the following random variables is continuous?
A: A variable is said to be continuous if it can take any value in an specified interval.
Q: A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that…
A: A) Using the central limit theorem we can say that x has an approximately normal distribution. (As…
Q: The number of traffic accidents on a section of the M4 freeway during peak flow periods follows a…
A: The provided information is as follows:The number of traffic accidents on a section of the M4…
Q: What is the probability that a jet engine will last less than 12 months before needing to be…
A: Here given cumulative distribution function of X. X = time in months jet engine operate before…
Q: At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in…
A: Given that vehicle are counted in 20 seconds intervals & vehicle count are taken in 120 of these…
Q: A player will win if he rolls two dies and gets a sum equal to 6. If he plays 12 times, what is the…
A: We have given that A player will win if he rolls two dies and gets a sum equal to 6. If he plays 12…
Q: The probability that data are entered incorrectly into a field in a database is 0.008. A data entry…
A:
Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of…
A: The given HC data set values are 14, 18, 15, 19, 13, 11, 15, 18, 15 and 12.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)The taxi and takeoff time for commercial jets is a random variable x with a mean of 9 minutes and a standard deviation of 3.4 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) (b) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.) US 12:44 hp DII -> & $ @ 7 8 3. 4 5 i y r W k d m V .. ..In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…
- The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.5minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER). Let x be the outcome of hospital admissions in the emergency room in a week. In order to plan for the number of beds for the future, the hospital has to model the data with an appropriate distribution. (a) what distribution would you suggest for the random variable X, and why? (b) what is the probability of getting at most two admissions in one week? (c) what is the probability of getting at most two admissions in two weeks? (d) what is the probability of getting at least one admission in 2 days, assuming its ER opens 7 days a week? (e) if the hospital closes for three days because of a very serious event, how may new patients will the ER miss for admission on average, in those three days?The number of automobile sold weekly at a certain dealership is a random variable with expected value 16.Give an upper bound to the probability that the next week sales exceed 18.
- Let A be a random variable corresponding to the sum of the outcomes of two independent rolls of a fair 6-sided die (numbered from 1 to 6). Determine the variance of A.The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.2 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of seedlings being approximately three per square yard. If the seedlings are randomly dispersed, the number of seedlings per region, Y can be modelled as a Poisson random variable. If a 1 forester randomly locates ten 1-square-yard sampling regions in the area, the probability that none of the regions will contain seedlings is 0.0498. 2.3.1 If the seedlings really are randomly dispersed, the number of seedlings per region, Y, can be modelled as a Poisson random variable with 2 = 3. Interpret 1 =3. 2.3.2 State the moment generating function_of the random variable Y.
- The weight of a male bald eagle has approximately a normal distribution with mean ?= 7.4 pounds and a standard deviation of ?= 1.6 pounds. Suppose we take a random sample of n=64 male bald eagles. Let X̄ be the random variable representing the mean weight in pounds of the 64 sampled male bald eagles. Let Xtot be the random variable representing sum of the weights of the 84 sampled bald eagles. a) About what proportion of male bald eagles have weights between 7.0 and 7.8 pounds? b) About what proportion of male bald eagles have weights greater than 7.8 pounds? c) About how many of the 64 sampled male bald eagles would you expect to have weight greater than 7.8 pounds? (nearest integer)? d) About how many of the 64 sampled male bald eagles would you expect to have weight between 7.0 and 7.8 pounds? (nearest integer)? e) What is the standard deviation of the distribution of X̄ (in pounds)? f) What is the standard deviation of the distribution of Xtot (in pounds)? g) What is the…Total blood volume (in mi) per body wight (in ke) is important in medical research. For healthy aduks, the red blood cell volume mean is about p = 28 ml/kg.t Red blood cell vokume that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood cell volumes weré as follows Let x be a random variable that represents Roger's red blood cll volume. Assume that x has a narmal distributian and - 4.75. Do the data indicate that koger's red blood cell valume is different (either way) from a- 28 mi/kg? Use a 0.01 lervel of significance. a What is the leval of sigaicance State the null and alternate hypotheses. Will you use a left-lailed, right-laded, or two-tailed test? O H: - 28 ml/kg; H: 2s m/kg; Ima-tailed o Ho: - 28 ml/ka; H 28 m/ka, let-tailed O Ho: 28 mil/kg: H1:- 28 ml/kg; tmo-tailed O Ho: 28 m/ka, H > 28 m/kg; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian.…which of the following random variables isn't discrete? (a) the number of children in a family (b) the annual rainfall in a city (c) the attendance at a football game (d) the number of patients treated at an emergency room in a day (e) the number of classes taken in one semester by a student