1.Given X and n, find p and q. Show your calculation steps.
1.X=56; n=80
2.X=35; n=96
3.X=420; n=1000
4.X=636; n=1200
5.X=1200 n=10000
A random variable, Z, which has mean 0 and standard deviation 1, find (1) p(z>1.2) (2) p(-2.0<z<2.0) (3) p(-1.2<z<1.0)
In each of 4 races, the Democrats have 60% chances of winning. Assuming that the races are independent of each other, find the probability that: (1) the Democrats will win 0 races, 1 race, 2 race, 3 race, or all 4 races? (2) the Democrats will win a majority of the races.
find class boundaries, midpoint, and width for the class
18.8 - 22.6
A certain radioactive material is known to decay at a rate proportional to the amount
present. If the initially there is 50 milligrams of the material present and after two
hours it is observed that the material has lost 10% of its original mass. Find
a) An expression for the mass of the material remaining at any time t
b) The mass of the material after 4 hours
c) The time rate at which the material has decayed to one half of its initial mass
find a solution to the boundary value problem y²+4y=0 y(π/8)=0, y(π/6)=1 if the general solution to the differential equation is y(x)=c1sin2x + c2cos2x
Eliminate a and B from the equation Z=(x^2+a)(y^2+b)
The formula C=59(F−32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. Use the formula to convert 59°F to its equivalent temperature on the Celsius scale.
Question. Given the matrix A = 3 1 1
2 4 2
1 1 3
a. Solve A for its eigen values and given vectors
b. Constant Similar matrix for A if possible
Question 1. Let u = (2,1,0,5) e R2. Apply the process of inner product spaces.