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Let X be a ramdom variable with the following probability distribution
x: 1, 2, 3, 4
P(X=x): 0.4, 0.3, 0.2, 0.1
a. Find E(X) and Var(X)
b. is E(X) a possible value of X
Supposed the disposable income ranges from 1,110,000 to 1,290,000 and it increases by 30,000 per year. Mpc = .80
When disposable income is 1,000,000 what is the level of consumption is equal to?
how to calculate the volume of nitrogen gas needed to produce 104.6g of ammonia from N2+H3 =2NH3
The gorilla, feeling exuberant, throws a 0.50kg banana straight up in the air from the ground with an initial energy of 30j. How high will the banana travel up?
Given the data 6, 9, 12, 15, 16, 19, 22. Construct a sampling distribution of the sample mean without replacement and repetition by selecting 2 samples at a time.
A family has four children. If Y is random variable that pertains to the number of female children what are the possible values of Y?
Construct a class called Rectangle. A Rectangle has both a length and a width (both positive integers). Access to them should be only inside the class and within the inheritance hierarchy. Then implement the following:
- lone constructor that accepts two integers for the length and the width. Prints "Rectangle Constructor"
- getters and setters
- area - prints "Rectangle Area" and returns the area of the rectangle
- perimeter - prints "Rectangle Perimeter" and returns the perimeter of the rectangle
Square construction prints "Square Constructor" and accepts one integer which is the length of a side. The version of the area and perimeter of Square prints "Square Area" and "Square Perimeter", respectively.
Input
A positive integer representing the length of the side of a Square.
2Output
The message of the constructors when called, the area, and perimeter of Square.
Rectangle·Constructor
Square·Constructor
Square·Area
Area:·4
Square·Perimeter
Perimeter:·8Determine if the following functions are continuous or discontinous at the given value of x.
1. f(x)= 3x+2x+1 at x= -2
2. f(x)= 9x2-1 at x=1
3. f(x)= 1/x-2 at x=2
4. f(x)= x-1/x^2 -1 at x=1
5. h(x)= x+1/x-1at x=1
6. f(x)= x^2 -2x+1 at x=3
7. f(x)= x/(x+2)(x-3) at x=2
8. f(x)= |x| at x=0
9. f(x) Cube root√x^2 -4 at x=5
10. f(x)= x+1/x-1 at x=0
A shipments of five computers contains that are slightly defective. If a retailer receives three of these computers at random list the elements of the sample space 5 using the letters D and N for defective and non-defective computers respectively. To each sample point assign a value x of the random variable X representing the number of computers purchased bu the retailer which are slightly defective
The pitch of a jackscrew shown in figure 2 is 0.3 cm and has a lever arm of 60 cm length.
What force at the end of the lever arm will raise a load of 190 kg if the efficiency of the machine
is 12 %?
