Question 2 The General Manager wanted to understand the current time to response to customer realizing the production planning. He wanted to also be able to understand (or predict) about the rejection rate as it affects production schedule and eventually reliable commitment to customers. Data has been collected below. NoTime responseReject Rate/min 1 17 4 2 21 1 3 34 3 4 34 4 5 5 2 6 22 3 7 30 5 8 9 8 9 32 3 10 28 8 11 23 3 12 20 2 13 20 1 14 8 5 15 12 3 a) The business owner wanted to know the probability that the time response for the following scenarios. (Assume Normal distribution) i) P (X < 20) ii) P (15 < X < 20) iii) P (X > 22) b) The business owner wanted to evaluate the probability rate of rejection rate where X = 0 (Assume Poisson distribution)
Added by Melissa Y.
Step 1
14 - σ ≈ sqrt(90.14) ≈ 9.49 Show more…
Show all steps
Close
Your feedback will help us improve your experience
James Kiss and 60 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting time before you can be seated. Let x represent the length of time waiting to be seated. From past experience, you know that the mean waiting time is μ = 17.2 minutes with σ = 3.8 minutes. You assume that the x distribution is approximately normal. (Round your answers to four decimal places.)(a) What is the probability that the waiting time will exceed 20 minutes, given that it has exceeded 15 minutes? Hint: Compute P(x > 20|x > 15).(b) What is the probability that the waiting time will exceed 25 minutes, given that it has exceeded 18 minutes? Hint: Compute P(x > 25|x > 18).
James K.
22. An instructor in a technical writing class has asked that a certain report be turned in the following week, adding the restriction that any report exceeding for pages will not be accepted. Let Y the number of pages in a randomly chosen student's report and suppose that Y has probability mass function y | 1 | 2 | 3 | 4 P(Y = y) | 0.001 | 0.19 | 0.35 | 0.45 a) Compute E(Y). b) Compute Var(Y). c) Suppose the instructor spends ∑Y minutes grading a paper consisting of Y pages. What is the expected amount of time, E(∑Y) , spent grading a randomly selected paper? 23. For what values of the constant c are the following functions of probability density functions? a) f_X(x) = { ce^-6x, x > 0; -cx, -1 < x ≤ 0; 0, x ≤ -1 b) f_X(x) = { cx^2e^-x^3, 0 < x < ∞; 0, elsewhere 24. A computer producing factory has only two plants T1 and T2. Plant T1 produces 20% and plant T2 produces 80% of the total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that P(computer turns out to be defective, given that it is produced in plant T1) = p1, P(computer turns out to be defective, given that it is produced in plant T2) = p2 such that p1 = 10p2, where P(A) denotes the probability of an event A ∈ Ω (sample space). A computer produced in the factory is randomly selected and it does not turn out to be defective. Then, what is the probability that it is produced in plant T2? 25. Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes. What is the probability that a customer will spend more than 15 minutes in the bank? What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes?
Adi S.
Can you solve this question
Jacob F.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD