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Show that the random process X(t) = 10 cos(200t + 0) is wide sense
stationary where 0 is a uniformly distributed random variable in
(0,2.72).
2. The average length of time for students to
have their subjects controlled is 40 minutes. A
new controlling procedure using modern
computing machines is being tried. If a random
sample of 15 students has an average
controlling time of 25 minutes with a standard
deviation of 12.9 minutes under the new
system, test the hypothesis that the average
length of time to control student’s subjects is
less than 40 minutes. Use a level of
significance of 0.10 and assume the
population of controlling times to be normally
distributed.
The average weight of 80 randomly
selected sacks of rice is 45.54 kilos with a
standard deviation of 17 kilos. Test the
hypothesis at a 0.01 level of significance that
the true mean weight is less than 49 kilos.
1. The probability distribution below shows the number of typing errors (x) and the probability p(x) of committing these errors whenever clerks type-in a document. Compute the variance and standard deviation.
y
1
2
3
4
5
P(y)
0.02
0.11
0.42
0.31
0.10
0.04
2. The probability distribution below shows the random variable and the probability of tossing a die. What is the variance and standard deviation?
z
1
2
3
4
5
6
P(z)
1/6
1/6
1/6
1/6
1/6
1/6
must include solution
The average weight of 80 randomly
selected sacks of rice is 45.54 kilos with a
standard deviation of 17 kilos. Test the
hypothesis at a 0.01 level of significance that
the true mean weight is less than 49 kilos. 2. The average length of time for students to
have their subjects controlled is 40 minutes. A
new controlling procedure using modern
computing machines is being tried. If a random
sample of 15 students has an average
controlling time of 25 minutes with a standard
deviation of 12.9 minutes under the new
system, test the hypothesis that the average
length of time to control student’s subjects is
less than 40 minutes. Use a level of
significance of 0.10 and assume the
population of controlling times to be normally
distributed.
If the weights of 600 students are normally distributed with mean of 50 kilograms and a variance of 16kilograms.
a.) Determine the percentage of students with weights lower than 55 kgs.
b.) How many students with weight between 50kgs and 55kgs.
Find sequence of elementary matrices whose product is
A=[2 3/5
1/2 -3] << 2x2 Matrix
If the weights of 600 students are normally distributed with a mean of 50 kilograms and a variance of 16 kg
b.) How many students with weights between 50 kgs and 55 kgs. (5 points)
Given the prolog facts in example 1 in the logic programming, what would prolog return given these queries?
A.? Instructor ( chan, math273)
B. ? Instructor (patel, cs301)
C.? Enrolled(X, cs301)
D.? Enrolled (kiko, Y)
E.? Teaches (grossman, y)
1) Find the area bounded by the curve y=9-x and the x-axis.
a) Horizontal Strip
b) Vertical Strip
2) Find the area bounded by the curve x = y² + 2y and the line x = 3.
3) Solve the area bounded by the curve y = 4x-x and the lines x = -2 and y = 4.
4) Find each of the two areas bounded by the curves y = x³ - 4x and y=x+ 2x.
Determine whether the given improper integrals are convergent or divergent. Evaluate those that are convergent.
#339914 on Dec 2023