Question

Using PERT, Adam Munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4.

What is the probability that the project will be completed in 17 months?

Answer 1

X is defined as the distribution of the number of days a particular type of criminal trial will take. X~ represents the random variable X, which follows a normal distribution with a mean of 21 days and a standard deviation of 7 days. The probability that a randomly selected trial will last at least 24 days is approximately 0.3336.

Step-by-step explanation:

a. X is defined as the distribution of the number of days a particular type of criminal trial will take.

b. X~ represents the random variable X, which follows a normal distribution with a mean of 21 days and a standard deviation of 7 days.

c. The probability that a randomly selected trial will last at least 24 days can be found by calculating the area under the normal distribution curve to the right of 24. This can be done using the standard normal distribution table or a calculator. The probability is approximately 0.3336

Sixty percent of all trials of this type are completed within how many days can be determined by finding the value of the random variable X such that the area under the normal distribution curve to the left of that value is 0.6. This can also be done using the standard normal distribution table or a calculator. The value is approximately 22.77 days.