Example: Power supply problem• N customers use electric power intermittently (say N = 100)• Assume each customer has the same probability p of requiring power atany given time t (say p = 1/3)Suppose power is adjusted to k power units. How large should we choose ks.t. the probability of overload is ≤ .1% ?

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Answered: Example Power supply problem • N…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Q3. Exponential Distribution has a memoryless property. Intuitively, it means that the probability of customer service answering you call (assuming waiting time is exponential) in the next 10 mins is the same, no matter if you have waited an hour on the line or just picked up the phone. Formally, if X ∼ exponential(λ), f(x) = λ exp(- λx), and t and s are two positive numbers, use the definition of conditional probability to show that P(X > t + s | X > t) = P(X > s).Hint: Find the cdf of X first, and note that P(X > t + s Ç X > t) = P(X > t + s)
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
22
٦:٢٧ م DIZVA &G Bartleby solution hypothesis 1 Asiacell 1- At ottobock company I used an average of 90 min for new worker to learn cast processing for stump,recently the company installed a new machine. The supervisor of the company wants to find if the mean time taken by the new workers to learn on the new machine is different from 90 min. a sample of 20 workers shows that it took an average of 85 min. It is known that the learning time for all new workers are normally distributed with population slandered deviation of 7 min .Find the p- value for the test that the mean learning time for the casting on the new machine is difference from 90 min .what will your conclusion be if a =0.01? pls solve fast إضافة وصف .... ¢ D в 는 ☐
Base year (2000) Current year (2005) Сommodity Оuantity Price Qиantity Price A 4.00 58500 6.00 62000 B 3.50 15630 5.50 13050 C 3.00 26230 5.00 25000 D 2.50 11360 4.00 10000 E 2.00 30000 3.00 37500 Also it is given that : E P,q, = 455795, E P,q, = 721275, EP,% = 703555, and E P,q, = 468675. 5. Laspaeyre's price index number for 2005 is : (A) 154.36 (B) 136.54 (С) 144.50 (D) 164.36.
A,b,c,d.
Question 2: Exponential distribution The distance X between two successive faults in a metallic wire is an exponential random variable with parameter A = 1.3 faults per cm (centimeter). Answer the following questions. 1. Calculate the probability of P(X<1) 2. Find the probability of P(o.9 < Xs 1.7) 3. Calculate the probability that the distance between two successive faults will be greater than 3 mm (millimeters)
Hi there, Please please answer all the multiple question from the chooise below, no show work needed. Thank you for quick response.
At a “busy time," a telephone exchange is very near capacity, so callers have difficulty placing their calls. It may be of interest to know the number of attempts necessary in order to make a connection. Suppose that we let p = 0.05 be the probability of connection during a busy time. We are interested in knowing the probability that 5 attempts are necessary for a successful call. Determine the correct parameter. O a.r= 0, x = 5 O b. NONE O C.r= 0, n = 5 d.r = 1, x = 5
For numbers 2-7: A remission is when leukemia cannot be detected in the body and there are no symptoms. A total of 27 random sample of patients from a certain hospital was obtained. The Leukemia Remission data set has a response variable of whether leukemia remission occurred (Y=1). The predictor variables are cellularity of the marrow clot section (CELL) and proportion of absolute marrow leukemia cell infiltrate (INFIL). Regression analysis was done and the model is given by: In(1²(Y-1)) = -2.88 +3.08CELL - 2.5INFIL Macbee wants to validate the model above. He observed 30 random sample of patients from the same hospital. He came up with a confusion matrix below. Predicted Probability Outcome 0.5 0 (with parasite) 5 2 1 (without 1 20 parasite)
pleaseeeee solve question 9, quickly please

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