5. An investor has invested in nine different investments.The dollar returns on the different investments areprobabilistically independent, and each return followsa normal distribution with mean $50,000 and standarddeviation $10,000.a. There is a 1% chance that the total return on thenine investments is less than what value?b. What is the probability that the investor's totalreturn is between $400,000 and $520,000?

The probability of the z value is calculated using the normal distribution. The z score is the…

Answered: 5. An investor has invested in nine…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
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.
1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)
Liza wanted to help her family earn money in this time of pandemic. She decided to sell facemasks online. She recorded her sales for the first ten days. The number of boxes sold for ten days is shown below. Day No. of Boxes (x) 27 25 35 40 35 27 2. 3. 4. 56
1. The average cost of college for one year is $26,489 with a standard deviation of $3204. If 36 colleges are selected at random, find the following probabilities Find the probability that the sample mean cost for the 36 schools is between $24,000 and $26,000.
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.
6.7 A financial researcher in Malaysia found that the monthly expenditure for a household staying in town has the mean of RM5,500 (Malaysian ringgit) with the standard deviation of RM1,025. a. What is the probability of a household having monthly expenditure more than RM4,550? b. What is the probability of a household having monthly expenditure in between RM4,550 and RM6,000? c. How much is the monthly expenditure for the top 10 percent of households? d. How much is the monthly expenditure for the bottom 5 percent of households?
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?
6. A lightbulb will work until failure. Being a cheap Chinese import the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution A. What is a "success" for this Geometric Distribution? B. Find the probability of "success" or p for this Geometric Distribution. C. Find the probability of "not success" or q
2. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant's response was: a. Less than 4 b. Between 4 and 6 c. More than 8

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