An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. Their statistics show that an accident prone person will have an accident within a year with a probability of 0.4, whereas the probability for a nonaccident prone person is 0.2. It is assumed that 30% of the population is accident prone. Given that a new policyholder has an accident within a year of purchasing a policy, what is the probability that he or she is accident prone?
In: Statistics and Probability
(Tipler6 21.33★★) A charge of -1.0 µC is located at the origin, a second charge of 3.6 µC is located at x = 0, y = 0.1 m, and a third charge of 10 µC is located at x = 0.2 m, y = 0. Calculate the components of the forces that act on each of the three charges.
1)The x-component of the force on q = -1.0 µC:
2)The y-component of the force on q = -1.0 µC:
In: Physics
A local grocery store sells individually packaged slices of cake, all labeled with the same weight of 4 oz.
Suppose we take a random sample of 49 cake slices and record their weights. The mean weight of our sample of 49 slices is 4.2 oz.
Assume that the population standard deviation is 0.2 oz.
True or false? It is very likely that the actual cake slice weight mean is higher than 4 oz..
In: Statistics and Probability
Suppose a project needs to hire 50 electricians. At the initial
wage of 60K/year (including benefits) 480 are currently employed in
the local area and 20 are estimated to be unemployed. The MEBT is
0.2. After electricians are hired for the project, the local wage
increases to 65K/year and the number employed locally increases to
510.
A)Estimate the opportunity cost of hiring the workers.
B)Draw a diagram to illustrate.
C)Explain any assumptions you mak
In: Economics
Probability and Statistics
Write a Matlab simulation to solve problem 2.4.4.
2.4.4.
Each problem has a failure probability q, independent of any other component. A successful operation requires:
1. components 1, 2, and 3 all work, or 4 works
2. component 5 or component 6 works.
with q = 0.2, simulate the replacement of a component with an ultrareliable component. For each replacement of a regular component, perform 100 trials.
In: Statistics and Probability
Assume that you have half your money invested in Times Mirror, the media company, and the other half invested in Unilever, the consumer product giant. The expected returns and standard deviations on the two investments are summarized below:
----------------------Times Mirror------ Unilever
Expected Return 14%------------- 18%
Standard Deviation 25% ------------40%
Estimate the variance of the portfolio as a function of the correlation coefficient (Start with –1 and increase the correlation to +1 in 0.2 increments).
In: Finance
Based on the following data;
State of the Economy Probability Stock A Rate of Return Stock B Rate of Return
Recession 0.2 4% -20%
Normal Growth 0.65 8% 20%
Boom 0.15 16% 60%
(a) calculate the expected return and the standard deviation of returns for each stock.
(b) Calculate the expected return and the standard deviation on the portfolio, where
the portfolio is formed by investing 50% of the funds in Stock A and the rest in Stock B.
In: Finance
1) Suppose 500 mL of an 0.200 molar HCl acid is titrated with 70.0 mL of a 1.00 M NaOH solution. What is the final pH of the solution? The error interval is 0.1 pH units.
2) Suppose 500 mL of 0.100 M benzoic acid, which has a pKa of 4.201, solution is titrated with 75.0 mL of a 1.00 M NaOH. What is the final pH? The error interval is +/- 0.2 pH units.
In: Chemistry
You mix together two flows of water. The first flow is a saturated liquid at 300 kPa, moving at a rate of 2 kg/s. The second flow is a superheated vapor at 300 kPa and 300 °C, and is moving at a rate of 0.2 kg/s. If the outlet is similarly at 300 kPa, (a) what is the mass flow rate of the outgoing water, (b) what is the temperature of the outgoing water, and (c) What is the rate of entropy generation for this process?
In: Other
Bags of potato chips have a mean weight of 6 ounces with a standard deviation of 0.2 ounces. There are 100 bags of potato chips in a box.
(i) What is the probability that the total weight of the 100 bags is greater than 603 ounces?
(ii) A potato chip factory produces 1000 boxes of potato chips. What is the probability that more than 70 of these boxes contain more than 603 ounces of potato chips?
In: Math