b. The annual yield (expressed as a percentage) for all investments in a particular asset class in the latest financial year was normally distributed with a mean of 4.5% and a standard deviation of 1.25%. i. Represent the probability that a randomly selected investment in this class will have an annual yield greater than 6.00%on a diagram and determine this probability. ii. Represent the value for annual yield that o

b. The annual yield (expressed as a percentage) for all investments in a particular asset class in the latest financial year was normally distributed with a mean of 4.5% and a standard deviation of 1.25%. i. Represent the probability that a randomly selected investment in this class will have an annual yield greater than 6.00%on a diagram and determine this probability. ii. Represent the value for annual yield that o

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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The average student loan debt for college graduates is $25,950. Suppose that that distribution is normal and that the standard deviation is $14,900. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X - N( b Find the probability that the college graduate has between $29,350 and $41,850 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $
1. The amount of time a Tech student spends on Instagram has an approximately exponential distribution with mean 60 minutes. a. What is the probability a randomly selected student spends less than 45 on Instagram? b. Illustrate your answer from a. using the pdf c. Find the cumulative distribution function for the time students spend on Instagram. d. What is the probability a randomly selected student is on Instagram for a time within 2 standard deviation of the mean?
17).
Suppose that the average loan taken out by small-sized businesses from a commercial bank is $275,000. If the loan sizes are normally distributed with a standard deviation of $25,000, find each of the following: A. The probability that a small-sized business takes out a loan of more than $325,000. B. The probability that a small-sized business takes out a loan between $245,000 & $310,000.
4. Create a probability distribution for distribution of "number of heads" appearing after flipping three coins. Find its mean and its standard deviation. Desktop 54°F Rain to stop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert De & Be Y G H J K 立

In the first quarter of 2017, the average mortgage for first time buyers was R910,000. Assuming a normal distribution and a standard deviation of R50,000. What proportion of mortgages were between R890,000 and R990,000 (rounded off to three decimals)? A. 0.601 B. 0.345 C. 0.945 D. 1.600
A probability distribution of the claim sizes for an auto insurance policy appears in the following table. Claims Probability 1 0.15 0.2 3. 0.05 4 0.45 0.15 Find the percentage of claims within one standard deviation of the mean.
In a Normal distribution, the Empirical Rule states that... ["", "", "", "", ""] of the data is within 1 standard deviation of the mean, ["", "", "", "", ""] of the data is within 2 standard deviation of the mean, and ["", "", "", "", ""] of the data is within 3 standard deviation of the mean.
3. Draw the probability distribution of the function, find the mean, variance, and standard deviation of the profit in the instance below: A store has a monthly sale of P23,540, which deviates by P3,876. Now, the profit is calculated as 28% of the sales subtracted by the operating cost of P,5324.
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. MP, Ltd. AVERAGE OF STOCK RETURN YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE (x₁) PRICE RETU Jan-2021 Po Feb-2021 P8.6 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P60 Jul-2021 16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-202 P13.70 Sep-2 P14.88 Oct-2021 0.375 Oct 21 P15.30 Nov-20 PO.325 N2021 P14.30 Dec-2 PO.330 ec-2021 P15.52 3) SD (8) GSM Inc. YEAR Jan-2021 P57. Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.0 Aug-2021 P10 Sep-2021 P 00 Oct-2021 01.00 Nov-2021 100.40 Dec-202 P113.80 SD (8) = STOCK RETURN PRICE (x₁) AVERAGE OF RETURNS -x)² SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17.00 Jun-2021 P18.76 Jul-2021 P16.38…
The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before____days are considered premature. (Round to the nearest integer as needed.)
The lifetime of an LED bulb follows a lognormal distribution. Suppose that the mean and standard deviation of the lifetime are 28,000 hours and 40,000 hours, respectively. a. What are the parameters and w of the lognormal distribution? b. What is the probability that the lifetime of a bulb exceeds 30,000 hours? c. Determine the lifetime that is exceeded by 95% of the bulbs.