Search & Filtering
The two most common type of errors made by programmers are syntax errors and errors in logic. For a simple language such as BASIC the number of such errors is usually small. Let X denote the number of syntax errors and Y the number of errors in logic made on the first run of a BASIC program. Assume that the joint density for (X,Y) is as shown in table 2:
x/y
0
1
2
3
0
.400
.100
.020
.005
1
.300
.040
.010
.004
2
.040
.010
.009
.003
3
.009
.008
.007
.003
4
.008
.007
.005
.002
5
.005
.002
.002
.001
a. Find the probability that a randomly selected program will have neither of these types of error.
b. Find the probability that a randomly selected program will contain at least one syntax error and at most one error of logic.
c. Find the marginal densities for X and Y
d. Find the probability that a randomly selected program contains at least two syntax errors.
e. Find the probability that a randomly selected program contains one or two errors in logic.
Let X denote the time in hours needed to locate and correct a problem in the software that governs the timing of traffic lights in the downtown area of a large city. Assume that X is normally distributed with mean 10 hours and variance 9.
a. Find the probability that the next problem will require at most 15 hours to find and correct.
b. The fastest 5% of repairs take at most how many hours to complete?
In an automobile plant two tasks are performed by robots. The first entails welding two joints; the second, tightening three bolts. Let X denote the number of defective welds and Y the number of improperly tightened bolts produce per car.
Table 1:
x/y 0 1 2 3
0 .840 .030 .020 .010
1 .060 .010 .008 .002
2 .010 .005 .004 .001
Use table 1 to find each of these probabilities,
a. The probability that exactly two defective welds and one improperly tightened bolt will be produced by the robots.
b. The probability that at least one defective weld and at least one improperly tightened bolt will be produced.
c. The probability that at most one defective weld will be produced.
1.How many possible sample of size 4 are possible?
2.Find the mean of the sample means
3.Find the variance of the sample
4.Find the standard deviation of the sample
A sample of raw scores of Grade 11 students consists of the five numbers 10, 14, 17, 20 and 12. Consider samples of size 2 that can be drawn from this sample.
How many are the possible outcomes? *
What is the probability of getting 14.5 as a mean? *
What is the probability of getting 11 as a mean? *
What is the probability of getting 22.5 as a mean? *
What is the probability of getting 16 as a mean? *
y''-y=3x^2e^x
solve the ivp cos(x)y¹ + sin(x)y = 2cos³(x)sin(x) - 1; y(pi/4) =3/2, 0<x<pi/2y=(x-1)√x²-2x+2
solve (x²-1)² d²y/dx² - 2(x-1)dy/dx -4y=0
The average cost per household of owning a brand new car is Php 5,000. Suppose that we randomly selected 40 households, determine the probability that the sample mean for these 40 households is more than Php 5,350. Assume that the variable is normally distributed and the standard deviation is Php 1,230.
WHAT IS THE STANDARD ERROR OF THE MEAN ?
