Activity Two: Normal Probability Distributions A venture capitalist feels that the annual rate of return on a proposed investment has a mean of $0.30 per share and standard deviation of $0.10 per share. i) Find the probability that the return will be between $0.23 and $0.35 per share. Assume that the returns are normally distributed.
Activity Two: Normal Probability Distributions A venture capitalist feels that the annual rate of return on...
A venture capitalist feels that the annual rate of return on a proposed investment has a mean of $0.30 per share and standard deviation of $0.12 per share. ii) Find the probability that the return will be between $0.23 and $0.35 per share. Assume that the returns are normally distributed.
Normal Distributions Probability and Statistics Resources Help Laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standard deviation of 75 hours. Find the probability that a randomly selected light bulb will last between 825 and 900 hours. [ ? ]% Enter Copyright 2000 Acelles Corporation Rights Reserud.
Univariate Gaussians or normal distributions have a simple representation in that they can be completely described by their mean and variance. These distributions are particularly useful because of the central limit theorem, which posits that when a large number of independent random variables are added, the distribution of their sum is approximated by a normal distribution. In other words, normal distributions can be applied to most problems Recall the probability density function of the Univariate Gaussian with mean and variance...
Stocks A and B have the following probability distributions: % Returns Probability A B 0.40 15 35 0.10 10 20 0.30 -5 15 0.20 -15 -5 If you form a 50-50 portfolio of the two stocks, calculate the expected rate of return and the standard deviation for the portfolio. (Remember, you must calculate a new range of outcomes for the portfolio.) Briefly explain why the standard deviation for the portfolio would be less than the weighted average of the standard deviations...
do all of part b please :)
Part B: Normal Distribution Probabilities. For all questions, include the probability statement, a sketch, the calculator syntax, and the solution rounded to four decimal places. Ex.) Find the probability that a z-score is less than 2.02. 9.) Assume that annual pear consumption is Ples 2.02) normally distributed with a mean of 8.6 lbs. and standard deviation of 2.2 lbs. Find the probability -0.9783 that annual pear consumption is less than 11 lbs. 2.02...
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.20 –6 % 18 % Normal economy 0.50 19 11 Boom 0.30 26 8 a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. Expected Rate of Return Standard Deviation Stocks ? ? Bonds ? ?
Assume the returns from an asset are normally distributed. The average annual return for the asset is 17.4 percent and the standard deviation of the returns is 27.5 percent. What is the approximate probability that your money will double in value in a single year?
. In probability theory, the Normal Distribution (sometimes called a Gaussian Distribution or Bell Curve) is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Describing the normal distribution using a mathematical function is called a probability distribution function (PDF) which is given here: H The mean of the distribution ơ-The standard deviation f(x)--e 2σ We can...
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom 0.35 0.21 0.34 0.26 Good 0.25 0.11 0.23 0.08 Poor 0.30 –0.02 –0.10 –0.03 Bust 0.10 –0.10 –0.18 –0.10 a. Your portfolio is invested 35 percent each in A and C and 30 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations. Enter your answer as a percent...
94 Normal Probability Distributions z-scores see page 241-259 Draw the appropriate standard normal graph for each part. the z-scores to answer the following Each graph is 2 points out of 4 points each. Use colge was 159.S72 pounds, and the standard deviation the weights are normally distributed, calculate approximately how many a. Th e mean weight of 500 male stu weighed less than 170.2; pounds (Hint: Calculate the probability, for 1 student up to the next whole numb eraomy selected...