[p2w4-26*] The rate of return X (%) of an investment project is considered a normally distributedrandom variable. According to the investment committee's assessment, with probability 0.1587 for arate of return higher than 20% and with probability 0.0228 for a rate of return greater than 25%. Findthe probability P(X > 0). Let P(Z<1) =0.8413, P(Z <2) = 0.9772, note that, by 3-sigma rule, there is99.7% within 3 standard deviation, 95% within 2 standard deviation and 68% within 1 standarddeviation.Select one:0.50000.79700.00150.9985

Suppose X be the rate of return of an investment project is considered a normally distributed random…

Answered: [p2w4-26*] The rate of return X (%) of…

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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Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x ≤ a) = 0.85 a = (b) P(x a) = 0.6 a = (e) P(1.62 ≤ x ≤ a) = 0.5 a =
The probability of getting a cracked egg at the grocery store is 15% (p = 0.15). In this binomial probability distribution, if a 12-egg carton is purchased, determine (to four decimal places of accuracy):a) The probability of getting exactly two cracked eggs.(P(x = 1) =b) The probability of getting at most one cracked egg.(P(x ≤ 1) =
newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least sbx, and (c) less 44% of U.S. adults have very little confidence than four. (a) P(5) = (Round to three decimal places as needed.) (b) P(x26) = (Round to three decimal places as needed.) (c) P(x<4) = (Round to three decimal places as needed.)
Let X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability distribution. Find the variance of the random variable X, given that its probability distribution is f(2) = 0.1 f(9) = 0.4 f(13) = 0.5 Round your answer to an integer.
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 Would it be unusual to randomly select a person who has received four or more tickets in a three-year period? A. Yes B. NoIs it correct answer B?
1. Determine the constant c so that the function p(x) = 0(x) defines the probability den- sity for a random variable {. Then find the cumulative distribution function and the mean of {. %3D
Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random variable with CDF F(x) = 1 − e-x/3 x ≥ 0 What is the probability that the battery lasts between 12 to 15 months?
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
The following table is a partial probability distribution for the MRA Company's projected profits (x = profit in $1,000s) for the first year of operation (the negative value denotes a loss). x f(x) −100 0.100 0.2050 0.30100 0.25150 0.10200 (a) What is the proper value for f(200)? f(200) = What is your interpretation of this value? This is the ---Select--- percent probability that the MRA will have a $200,000 profit. (b) What is the probability that MRA will be profitable? (c) What is the probability that MRA will make at least $100,000? Please only correct and with concept and dont do handwritten or skip please!!
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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