(g) answer #2 1. Let X denote the time in hours needed to locate and correct a problem in the software thatgoverns the timing of traffic lights in the downtown area of a large city. Assume that X isnormally 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?2. 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 thenumber of improperly tightened bolts produce per car.Table 1:x/y23.840.030.020.010.060.010.008.0022.010.005.004.001Use table 1 to find each of these probabilities,a. The probability that exactly two defective welds and one improperly tightened bolt will beproduced by the robots.b. The probability that at least one defective weld and at least one improperly tightened boltwill be produced.c. The probability that at most one defective weld will be produced.3. The two most common type of errors made by programmers are syntax errors and errors inlogic. For a simple language such as BASIC the number of such errors is usually small. Let Xdenote the number of syntax errors and Y the number of errors in logic made on the first run ofa BASIC program. Assume that the joint density for (X,Y) is as shown in table 2:x/y123400.100.020.005300.040.010.004.040.010.009.0033.009.008.007.0034.008.007.005.002.002.005.002.001a. 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 andat most one error of logic.c. Find the marginal densities for X and Yd. 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.

Question

Accepted Answer

Here AS per your requirement I have calculated  question 2
Here use given table of probability