The following table shows a partial probability distribution for the MRA Company's projected profits (in thousands of dollars) for the first year of operation (the negative valuedenotes a loss).X-100 0.05050100150f(x)2000.250.300.200.10(a) Find the missing value of f(200).f(200) = 0.10What is your interpretation of this value?This is the probability that the MRA will have a $200,000 profit.(b) What is the probability that MRA will be profitable?(c) What is the probability that MRA will make at least $100,000?

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Answered: The following table shows a partial…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 14 If we quadruple each value in the profit column above, the new variance of profit will be. a 187,136 b 183,467 c 179,870 d 46,784
In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 12 If we add $45 to each value in the profit/loss column above, the new variance of profit will be, a 12,169 b 11,741 c 11,696 d 11,467
review(10a): In the z distribution the mean will always be (a) less than 1 (b) greater than 1 (c) equal to 1. (d) equal to zero.
Find the mean of the following probability distribution? P(x) 0.1605 1 0.2848 2 0.0206 3 0.2536 4 0.2805 Use the round-off rule for measures of center and variation, mean = which is one place more than the x-values.
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X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
Calculate the expected value for this discrete probability distribution: X P(x) 2 0.10 3 0.25 4 0.25 5 0.40 Write you solution to two decimal places.
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.
The following table is a partial probability distribution for the MRA Company's projected profits (x = profit in $1,000s) for the first year of operation (the negative value denotes a loss). x f(x) −100 0.100 0.2050 0.30100 0.25150 0.10200 (a) What is the proper value for f(200)? f(200) = What is your interpretation of this value? This is the ---Select--- percent probability that the MRA will have a $200,000 profit. (b) What is the probability that MRA will be profitable? (c) What is the probability that MRA will make at least $100,000? Please only correct and with concept and dont do handwritten or skip please!!
The probability distribution given below represents the projected profit (in thousands of dollars) earned from a business over a year. Profit (x) in thousands of dollars f(x) -100 0.05 -50 0.15 0 0.30 50 0.35 100 0.12 200 0.03 a.) What is the probability that the business will operate at a loss for the year? b.) What is the probability that the business will break even? c.) What is the expected value for profit? Fill out the table below to help you calculate the value.

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