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1. A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 3 vehicles every 12 minutes (approximately Poisson in nature). The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $100 per hour. The cost associated with lost productivity from the breakdown is estimated at $50 per hour. Which is cheaper, the existing system with one service crew or a revised system with two service crews? Note that the average waiting time for adding the second crew is 0.02. Please show the calulation in detail, thank you.

Describe the process used to stain the relatively impermeable endospores

E3 (1 mark): Create a SubVI that returns an array containing \( N \) random numbers between \( X \) and \( Y \). where \( Y^{\geq} X \) SubVI input: \( \mathrm{X}, \mathrm{Y} \) and N (all numeric). SubVI output: [Rn] (numeric array). You should use a for loop to generate the array. I want the labview code as the answer, a screen shot or a vi file.

E2 (1 mark): A mild-steel beam is axially loaded in tension, and the resultant strain \epsi lon is measured using a strain gauge. Given that E_(steel )=200GPa, and \sigma _(yield )=250MPa, create a subVI that converts strain to stress. The VI should also return a Boolean that turns I want the labview code as the answer, a screen shot or a vi file. true if the stress is equal or above 75% of yield stress. SubVI inputs: strain in \mu \epsi lon, i.e. 1\mu \epsi lon=1\times 10^(-6)m^(()/())m SubVI outputs: \sigma in MPa, and a Boolean labeled overload? You must use "greater than or equals" function. Use a proper descriptive icon. I want the labview code as the answer, a screen shot or a vi file.

1. (a) Let \( S \subseteq \mathbb{R} \) denote the set of integers which are divisible by 3 . Write down the set \( S \) in mathematical notation. Is \( S \) a subspace of \( \mathbb{R} \) ? Prove or disprove!

E1 (1 mark): Create a SubVI that returns the number of non-prime integers between X and Y both included, where X and Y are provided by user. SubVI inputs: X (numeric), Y (numeric). SubVI output: N (numeric); number of prime integers. Assume Y > X. Don't use local variables. Use a proper descriptive icon. You must use "Not" function as shown below, with Check Prime.vi. I want the labview code as the answer, a screen shot or a vi file.

Question 3 (20 Marks) Given the following information related to the main activities of your project. Activity Predecessor Duration in days A 4 B 6 C A 3 D B 5 E C 6 F D 4 3.1 Draw the network diagram for the project (5 marks) 3.2 Using the forward and backward pass method, determine the slack for each activity. Input your information on the table provided (13 marks) Activity Duration ES EF LS LF Slack A 4 B 6 C 3 D 5 E 6 F 4 3.3 Determine the critical path and the duration of the project using the forward and backward pass method. (2 marks

Refer to QUESTION 1. (a) What are the distributions of: (i)

; (ii)

; and (iii)

. (b) Prove or disprove that the expression of the asymptotic confidence interval (

) for

is

where

is the maximum likelihood estimate of

found in Question 1 (d) (c) Given:

where

is the maximum likelihood estimate of

found in Question 1 (d) when

. Find

and

which satisfy

and hence write down a

confidence interval for

. (d) How can the

confidence interval in part (c) above be used to test the hypotheses

:

versus

? (e) Evaluate your

confidence interval in part (b) at

and compare it with that in part (c). Which is better? Justify you answer (4)

1/ You are required to describe how registered nurses lead and coordinate care within an interdisciplinary context. 2/ Explain which skills are necessary for effective leadership. 3/ Explain what makes successful interdisciplinary teamwork 4/ Explain how the registered nurse would support the patient/service user to change their health behaviours

CORAL LANGUAGE ONLY Write a function DrivingCost with parameters drivenMiles, milesPerGallon, and dollarsPerGallon, that returns the dollar cost to drive those miles. All items are of type float. Ex: If the function is called with 50 20.0 3.1599, the function returns 7.89975. Define that function in a program whose inputs are the car's miles/gallon and the gas dollars/gallon (both floats). Output the gas cost for 10 miles, 50 miles, and 400 miles, by calling your DrivingCost function three times. Ex: If the input is 20.0 3.1599, the output is: 1.57995 7.89975 63.198 Note: Small expression differences can yield small floating-point output differences due to computer rounding. Ex: (a + b)/3.0 is the same as a/3.0 + b/3.0 but output may differ slightly. Because our system tests programs by comparing output, please obey the following when writing your expression for this problem. In the DrivingCost function, use the variables in the following order to calculate the cost: drivenMiles, milesPerGallon, dollarsPerGallon.