An online computer science class has an assignment to write a program that generates th next best...

Question

An online computer science class has an assignment to write a program that generates th next best move in a game of chess. Suppose that the runtimes of student programs follow a normal distribution with mean µ = 15 seconds, and standard deviation s = 2:5 seconds. Hint: The Python commands scipy.stats.norm.cdf and scipy.stats.norm.ppf may be useful for this question. a) What is the probability that a random program has a runtime greater than 19 seconds? b) What is the probability that a random program has a runtime between 12 and 18 seconds? c) The TA's want to help the students complete their work faster. What would they have to lower the average runtime to so that only 1.0% of students have runtimes over 15 seconds? Assume the standard deviation remains fixed at s = 2:5 seconds. d) The technical support staff installs a new online server for running student experiments, and now the runtime of each program is exactly 1/5 of what it used to be. Given this new server (but not extra TA help as in part (c)), what are the mean and standard deviation of the new runtime distribution?

Komalavalli · Accepted Answer

Q1
µ = 15 seconds, σ = 2.5 seconds
a)P(x>19)
Z score = x- µ/ σ = 19-15/2.5
Z score =  4/2.5
Z score =1.6
P(Z≤1.6) = 0.9452
P(Z>19) = 1- P(Z≤19) = 1- P(Z≤1.6) = 1-0.9452 = 0.0548 
The probability that a random program has a runtime greater than 19 seconds is 0.

An online computer science class has an assignment to write a program that generates th next best move in a game of chess. Suppose that the runtimes of student programs follow a normal distribution...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment