Question 1 A contractor is interested in the total cost of a project for which he intends to bid. He estimates that materials will cost P25000 and that his labour will cost P900 per day. The contractor then formulates the probability distribution for completion time (X), in days, as given in the following table. Completion time in days (X) 10 11 12 13 14 P(X=x) 0.1 0.3 0.3 0.2 0.1 a) Determine the total cost function C for the project. b) Find the mean and variance for completion time X. c) Find the mean, variance and standard deviation for the total cost C.

In each of problems 1 through 4: (a) Find approximate values of the solution of the given initialvalue problem at t=0.1, 0.2, 0.3, and 0.4 using the Euler methodwith h=0.1 (b) Repeat part (a) with h=0.05. Compare the results with thosefound in (a) (c) Repeat part (a) with h=0.025. Compare the results with thosefound in (a) and (b). (d) Find the solution y=φ(t) of the given problem and evaluateφ(t) at t=0.1, 0.2, 0.3, and 0.4. Compare these values with the results of (a), (b), and (c). 3. dy/dt = 0.5 -t +2y, y(0) = 1 Please also provide solution using Matlab.

Expected Returns: Discrete Distribution

The market and Stock J have the following probability distributions:

1. Calculate the expected rate of return for the market. Round your answer to two decimal places.
   %
   
   Calculate the expected rate of return for Stock J. Round your answer to two decimal places.
   %
   
2. Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places.
   %
   
   Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places.
   %

You purchased XYZ stock at the closing price on December 31, 2015, and sold it after the dividend had been paid at the closing price on January 26, 2016. Given the following Price and Dividend data for XYZ, your dividend yield for this period is closest to ______________ and your capital gains rate (yield) for this period is closest to _______________________.

The market and Stock J have the following probability distributions:

a. Calculate the expected rate of return for the market. Round your answer to two decimal places.

a1. Calculate the expected rate of return for Stock J. Round your answer to two decimal place

b. Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places.

b2. Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places

An external gear has a module of 4, 52 teeth in the gear, 28 teeth in the pinion, a pressure angle of 20°, pinion rotational speed of 1500 rpm, face width of 20 mm, and gear and pinion material having modulus of elasticity of 206 GPa and Poisson’s ratio of 0.3. The Hertzian contact pressure is 0.980 GPa. The lubricant used has an absolute viscosity of 0.3 Pa-s and pressure viscosity coefficient of 2.2 x 10^-8 m²/N. The root-mean-square surface roughness for both the pinion and gear is 0.1 µm. Determine the following:

1. Transmitted power
2. Minimum film thickness
3. The film parameter

1. Write a program that translates a letter grade into a number grade. Letter grades are A, B, C, D, and F, possibly followed by + or -. Their numeric values are 4, 3, 2, 1 and 0. There is no F+ or F-. A “+” increases the numeric value by 0.3, a “–“ decreases it by 0.3. However, an A+ has value 4.0.4 pts

Enter a Letter grade: B-

The numeric value is 2.7

1. Your code with comments
2. A screenshot of the execution

Test Cases:

            B-   (should print 2.7)

            A+ (should print 4.0)

            B+ (should print 3.3)

            C    (should print 2.0)

            F+ (should print 0.0)

            G    (should print “no such grade”)

Python, keep it simple

When survey data indicated that a company needed to improve its​ package-sealing process, an experiment was conducted to determine the factors in the​ bag-sealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the​ bag-sealing equipment was used to predict the tear rating of a bag. The results are displayed in the accompanying table and the regression equation is the following. Complete parts​ (a) through​ (c).

ModifyingAbove Upper Y with caret Subscript iYiequals=0.79060.7906plus+0.46820.4682Xi​,

with

Summation from i equals 1 to n∑i=1nYiequals=14.7414.74​,

Summation from i equals 1 to n∑i=1nUpper Y Subscript i Superscript 2Y2iequals=40.320240.3202​,

and

Summation from i equals 1 to n∑i=1nXiYiequals=20.1720.17.

a. Determine the coefficient of​ determination, r2​,and interpret its meaning.

What is the meaning of the coefficient of​determination? (Choose Below)

A. It measures the variability in the actual plate gap from the predicted plate gap.

B. It measures the variability in the actual tear rating from the predicted tear rating.

C. It is the proportion of the variation in the plate gap that is explained by the variability in the tear rating.

D. It is the proportion of the variation in the tear rating that is explained by the variability in the plate gap.

b. Determine the standard error of the estimate.

SYX = ___? ​(Round to four decimal places as​needed.)

c. How useful do you think this regression model is for predicting the tear rating based on the plate gap in the​bag-sealing equipment? (Choose Below)

What is the meaning of the coefficient of​determination? (Choose Below)

A. It measures the variability in the actual plate gap from the predicted plate gap.

B. It measures the variability in the actual tear rating from the predicted tear rating.

C. It is the proportion of the variation in the plate gap that is explained by the variability in the tear rating.

D. It is the proportion of the variation in the tear rating that is explained by the variability in the plate gap.

b. Determine the standard error of the estimate.

SYX = ___? ​(Round to four decimal places as​needed.)

c. How useful do you think this regression model is for predicting the tear rating based on the plate gap in the​bag-sealing equipment? (Choose Below)