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).
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.
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.)
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. DMP, Ltd. STOCK RETURN YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE AVERAGE OF RETURNS (x) PRICE (x₁) Jan-2021 P8.30 Feb-2021 P8.60 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 P13.74 Jun-2021 P14.80 Jul-2021 P16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-2021 P13.70 Sep-2021 P14.88 Oct-2021 0.375 Oct-2021 P15.30 Nov-20 PO.325 Nov-2021 P14.30 Dec-2 PO.330 Dec-2021 P15.52 3) SD (8) GSM Inc. STOCK YEAR PRICE Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.00 Aug-2021 P105.00 Sep-2021 P114.00 Oct-2021 | P101.00 Nov-2021 P100.40 Dec-2021 P113.80 SD (8) = RETURN (x₁) -x)² AVERAGE OF RETURNS (x-x)² (x) SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021…
5. The changes in the values of two investment portfolios are modelled as Normal distributions. From day to day, the first investment portfolio changes in value with mean 2.6% and standard deviation 1.8%. From day to day, the second investment portfolio changes in value with mean 2.2% and standard deviation 2.5%. An investor is hoping for growth of at least 4%. Which portfolio is most likely to give growth of 4%?
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.