Task 3. The daily price increase of shares of the company "Alfa" in % has an exponential distribution (one-sided) with the scale parameter a=3. Determine a) the average daily increase in the stock price of this company, b) the probability, with which the share price will increase tomorro

Task 3. The daily price increase of shares of the company "Alfa" in % has an exponential distribution (one-sided) with the scale parameter a=3. Determine a) the average daily increase in the stock price of this company, b) the probability, with which the share price will increase tomorro

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...

See similar textbooks

Similar questions

Kindly answer and box all final answers for each letter
#10
A five years Business Informatics student studying at TU Wien does some temporary substitute work on the banking sector every 31 days on average, and this time follows an exponential distribution. After acquiring one of these works, its duration is also aleatoric, exponentially distributed and its mean duration is 60 daysThe money earned depends on the total number of days worked in each contract, paid at $100 daily. For unemployment periods, the student has taken out an insurance for which $50 is paid for each day on the dole. Build a queuing model to establish the mean annual income (1 year = 365 days) that the student earns. (Hint: single server, finite customer population of 1.)
Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with 1 = 0.0003. What proportion of the fans will last at most 10,000 hours? What proportion of the fans will last at least 7000 hours? a. 0.0498, 0.1225 O b.0.9502, 0.1225 O c. 0.0498, 0.8775 O d. NONE
Question 9 The first quartile (Q1) corresponds to the The median corresponds to the th The third quartile (Q3) corresponds to the th percentile. percentile. th percentile.
Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds. Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-years period.†. If x represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. A. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Pax fund appears to be better because the CV is smaller. B. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Vanguard fund appears to be better because the CV is smaller. C. Since the CV is s/x we can say that the CV represents the risk per unit of return; the Pax fund…
Please help me with this homework question.
Product failure behavior. An article in Hotwire (Dec. 2002) discussed the length of time till failure of a product pro- duced at Hewlett-Packard. At the end of the product’s life- time, the time till failure is modeled using an exponential distribution with mean 500 thousand hours. In reliability jargon, this is known as the “wear-out” distribution for the product. During its normal (useful) life, assume the prod- uct’s time till failure is uniformly distributed over the range 100 thousand to 1 million hours. a. At the end of the product’s lifetime, find the probability that the product fails before 700 thousand hours. b. During its normal (useful) life, find the probability that the product fails before 700 thousand hours. c. Show that the probability of the product failing before 830 thousand hours is approximately the same for both the normal (useful) life distribution and the wear-out distribution
As a data analyst, I received requests at a rate of 1 every 25 minutes, exponentially distributed. Determine the probability that the interval between succeedingmessages is more than 1 hour
b. The lifetime X of a particular species is assumed to be exponentially distributed with mean 75 time units. Find the probability that a member of this particular species picked at random survives: i. more than 90 time units; less than 70 time units; between 70 and 85 time units. ii. iii. iv. Calculate Var(X).
Suppose that the lifetime of a particular electronic device has an exponential distribution with a mean of 0.25 years. What is the probability that the device will last longer than seven years? Round your answer to the nearest thousandth. P(T > 7) =
Please solve with one t test During the days of coronavirus, people work most of the time from home. Many offices, schools, universities conduct their works, meetings, classes online. As a result of this new normal, it is assumed that on average, utility expenses per family (electricity, water, gas etc.) increases by 40% per month. For the verification of this assumption, four months data of percentage change of utility expenses of 10 families of similar size is given below and answer the following questions, the data is normally distributed: Percentage change of utility expenses April 33.65 37.09 29.72 33.42 38.14 34.9 37.35 38.66 22.92 34.19 May 37.19 36.61 40.35 28.19 35.19 37.43 38.03 42.99 30.22 38.8 June 37.13 36.2 43.6 35.31 33.66 28.51 37.67 20.68 38.04 38.43 July 38.84 32.17 34.9 30.17 29.63 27.14 32.17 33.46 36.72 39.64 Writ//e the null and alternative hypothesis for…