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The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed.
a. What is the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months?
b. What is the average precipitation of 5 randomly selected years for the first 7 months?
c. What is the probability of 5 randomly selected years will have an average precipitation greater than 18 inches for the first 7 months?
The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.50, 0.19, 0.22, 0.025, 0.19,0.06 and 0.005, respectively. Find the mean of the probability distribution
The probabilities of a machine manufacturing 0,1,2,3,4,5 defective parts ln one day are 0.50, 0.22,0.19, 0.025, 0.06 and 0.005 respectively. Find the mean of the probability distribution
Determine whether if
lim f(c) = f(c)
x→c
1. f(x) = x+2; c = -1
2. f(x) = x-2; c = 0
3. (at c = -1 )
f(x) = {x ² - 1 if x < -1}
f(x) = { (x - 1) ² - 4 if x ≥ -1}
4. (at c = 1 )
f(x) = {x³ - 1 if x < 1}
f(x) = { x² + 4 if x ≥ 1}
Suppose three cellphones are tested at random. Let D represent the
defective cellphone and let N represent the non-defective cellphone. Let X
be the random variable for the number of the defective cellphone.
Determine whether if lim f(c) = f(c)
x→c
1. f(x) = x+2; c = -1
2. f(x) = x-2; c = 0
3. (at c = -1 )
f(x) = {x ² - 1 if x < -1}
f(x) = { (x - 1) ² - 4 if x ≥ -1}
4. (at c = 1 )
f(x) = {x³ - 1 if x < 1}
f(x) = { x² + 4 if x ≥ 1}
1. How do you describe a discrete random variable? Give examples.
2. How do you describe a continuous random variable? Give examples.
3. What are the properties of a probability distribution?
Find the constants C0, C1, and x1 so that the quadrature formulae z0^1 f(x) dx = C0 f(0) + C1 f(x1),
Has the highest possible degree of precision
Consider the following initial value problems:
y' =e^(x-y) , x is greater than or equal to Zero or x is less than or equal to one , y(0)=0, h=0.5
actual solution: Y (x) = 1/5 x exp (3x) -1/(25) exp (3x) + 1/25 exp (-2x),
a) Use the Euler method to approximate the solutions of initial-value problem, and compare the results to the actual values
b) Use the Heuns Method to approximate the solutions of initial- value problem, and compare the results to the actual values
C) Use the Runge-Kutta method of order four to approximate the solutions of initial- value problem, and compare the results to the actual values
Find the mean of the probability distribution of the random variable X, which can take only the values 3,5, and 7, given that P(3)= 7/30, P(5)=1/3, and P(3)= 13/30.
#340153 on Dec 2023