Commuting distances for employees of a large steel fabricating facility are believed to follow an exponential distribution. Lambda is estimated to be 0.3 per kilometre. Find the percentage of workers that commute: (a) Less than 1 km. (b) Between 3 and 4 km.

Q: The power reflected from an aircraft received by a radar is described by an exponential…

A:

Q: The lifetime, t, in hours, of an alkaline battery is exponentially distributed with ? = 0.10 per…

A: The lifetime in hours of an alkaline battery is exponentially distributed with λ=0.10 per hour. The…

Q: The Bureau of Labor Statistics’ American Time Use Survey showed that the amount of time spent using…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have helped…

Q: The mean waiting time to get servedafter walking into a bakery is 30 seconds. Assume that an…

A:

Q: Find the mean value if y 1+x? between x-0 and x-1

A: Given function, y=11+x2

Q: One article states that each one-second delay in loading search results has the effect of…

A: Given that ,P= probability                 t= time in seconds ,each one-second delay in loading…

Q: Since the data obtained as a result of 5 observations of an experiment is ∑ log Xi = 6.27, what is…

A: n = 5 ∑ log Xi = 6.27 We have to find the geometric mean.

Q: The slope of the normal line f graph flu)--E at x =1 is:

A:

Q: Find the average value of the function graphed in the accompany- ing figure. 1 2

A: The function of the above graph can be represented as: Thus, the function is x when the value is in…

Q: As a result of testing 20 parts following the exponential distribution for 75 hours, 6 failures…

A: Solution

Q: The duration of residence for households is found to be exponentially distributed with λ = 0.37.…

A: The probability density function of an exponential distribution is as follows:…

Q: A particular type of mold is growing 9.7% per hour.  Assuming that mold growth continues at this…

A:

Q: 3. Determine the Gini Index for the following year. Where appropriate, round to the nearest…

A:

Q: A certain equipment has a MTBF of m= 300 hours. Assuming an exponential distribution of time to…

A: The answer is attached below,

Q: A 3750-year-old wooden chest is found by archaeologists. What percentage of the original 14C would…

A:

Q: What is the t- value associated with 19° of freedom and 5% in a tail?

A: The test is one tailed.

Q: What is the probability that x is less than or equal to 2? What is the probability that is an even…

A: a) The probability that x is less than or equal to 2 is:P(X≤2)=P(X=1)+P(X=2)=(1-2)26+(2-2)26=16

Q: Plot the percentage of machines not running as a function of the service factor for a population of…

A:

Q: 3 The number of days ahead travelers purchase their airline tíckets can be modeled by the average…

A: Exponential Distribution: Let 'x' be a continuous random variable is said to follow Exponential…

Q: Q3 A washing machine is advertised as having more than 10-year life. If its pdf is given by 40 (a)…

A: From the given information, f(t)=151+140t-3, t>=0 a) The reliability for the next 10 years if it…

Q: Fnd the correlation coeffierent and report it accurate to four decimal places.

A: Here we are given the bivariate data set which is as follows; It is asked  to find  The…

Q: A study of the relation between the rate of reproduction in Drosophila (fruit flies) bred in bottles…

A: (a) Consider the provided equation, logy=1.54-0.008x-0.658logx Show that y=34.71.0186-xx-0.658.…

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS =

A:

Q: A population of bacteria grows according to the logistic equa

A: The population of bacteria grows according to the logistic equation dPdt=0.05P(1-0.001P)

Q: In a building, the lifetime of a bulb has an exponential distribution with a mean of 2000 hours. If…

A: Given,A random variable X follows an exponential distribution with a mean of 2000…

Q: Find the mean value if y 1+x² between x-0 and x-1

A: We have o find the mean value of the function :  y=11+x2 between x=0 ,x=1

Q: (b) During which time period was the fertility rate increasing most rapidly? most slowly?

A:

Q: Annual revenue for Corning Supplies grew by 5.5% in 2010, 1.1% in 2011, -3.5% in 2012, -1.1% in…

A: The annual growth rate represents the percentage of amount which is increased in 1 year. For example…

Q: If the lifetime (in weeks) of a certain brand of lightbulb has an exponential density function and…

A: Exponential Density is given by, f(x)=ke-kx,  x≥0 and k>0with mean E(X)=1k

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Here we will find the number of hours  for sample to double its size,

Q: A rumor is spreading through town at a rate of ť + 10t new people/day. Approximately how many people…

A: Given rate t2+10t new people/day

Q: The time a postal clerk spends with his or her customer has an exponential distribution with a mean…

A: In question, We have given that amount of time is following exponential distribution with mean 4…

Q: . At the Franklin Post Office, patrons wait in a singleline for the first open window. On average,…

A: Given: The average rate of the customers entering the system=100/ hr The service rate=45/hr…

Q: d) Theth percentile corresponds to this score, which means that 299 is (Round to five decimal places…

A: Now finding the answer for (d) Given that the best score is 299 now we have to find percentile…

Q: Compute a 4-decimal place value of Log(11.7) from Log(11)=1.041, Log(12)=1.079 using linear Lagrange…

A: Please see the attachment  Log (11.7) = 1.0682 (actual value)  And approximate value = 1.0676  %…

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: A manufacturer of light bulbs finds thatthe mean lifetime of a bulb is 1200 hours. Assume the life…

A: The exponential decay formula is: y = A(B)^t ................(1) Here, y = 600 A = 1200 B = 1/2 t =…

Q: McNeese is determining the staffing level for their credit union located within the university, and…

A: Please find the explanation below.  This is M/M/S queue model Arrival rate is 6 per hour Service…

Q: what is an exponential function?  Is it continuous?

A: what is an exponential function?  Is it continuous?

Q: For exponential smoothing forecasting with an alpha of 0.1, the MSE (mean squared error) is 2.98.…

A: For exponential smoothing forecasting with alpha of 0.1, the MSE is 2.98 and alpha of 0.05, the MSE…

Q: The number of days that elapse between the beginning of a calendar year and the moment a high-risk…

A: Solution:-  An insurance company expects that 30% of high-risk drivers will beinvolved in an…

Q: The distance between mutations on a strand of DNA are exponentially distributed with a mean of…

A: Solution: Let X be the distance between mutations on a strand of DNA. From the given information, X…

Q: Show that the inverse exponential distribution has a heavier tail than the exponential distribution.

A: Probability distribution of exponential distribution: f(x)=λe-λx Exponential distribution CDF:…

Q: The type of battery in Jim's laptop has a lifetime X (in years) which follows a Weibull distribution…

A: Given The type of battery in Jim's laptop has a lifetime X (in years) which follows a Weibull…

Q: The speed of a computer chip is closely related to the number of transistors on the chip, and the…

A:

Q: For the blocks installed in front of you, find the geometric median by the tabbed method and the…

A:

Q: Use exponential regression to find an exponential function that best fits this data.

A:

Q: The profits of a small company for each of the first five years of itsoperation are given in the…

A: Average rate of change of y = f(x) over [a, b] is, AR=fb-fab-a

Q: Given H₁ : µ>3.5, the chance to support H₁ decreases if the area to the right of increases.

A: