find Var(X) or o²С.2. The number of passengers in a car on a freeway has the following probability function:No. of Passengers2.4f(x)a. Find E(X)b. Var(X)

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Answered: c. find Var(X) or o? 2. The number of…

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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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 value denotes a loss). X -100 0.05 0 50 100 150 f(x) 200 0.25 0.30 0.20 0.10 (a) Find the missing value of f(200). f(200) = 0.10 What 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?
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 6 The probability that X-Tract will break even is, f(x = 0) = ________. a 0.06 b 0.07 c 0.08 d 0.09
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 0.10 0 0.25 50 0.30 100 0.20 150 0.10 200 (a) What is the proper value for f(200)? f(200) = What is your interpretation of this value? This is the ---Select--- probability percent 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?
Test the following function to determine whether it is a probability function. (Give your answers correct to two decimal places.) P(x) = x2 + 5 50 , for x = 1, 2, 3, 4 (a) List the probability distribution. P(1) = P(2) = P(3) = P(4) =
Use the table for the probability distribution to find the condition probability of X = 1 given that Y = 1. The table for the probability distribution is given below. f(1|1) = Give your answer to one decimal place. 1 y 1 | 1/16 3/8 5/16 1/8 1/4 1/16
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The probability function of the amount of soft drink in a can is f(x)=4cx for11.5 <X< 12.5 oz. Determine the value of c such that f(x) represents a p.d.f..Then, find the following probabilities:(a) P(X > 11.5), (b) P(X < 12.25), and (c) P(11.75 <X< 12.25).
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.
Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 1 3 4. P(X= x) 0.3 0.25 0.25 0.15 0.05 Find the P(1< X <4) O 0.4 0.95 0.7 O 0.5
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
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!!

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c. find Var(X) or o? 2. The number of passengers in a car on a freeway has the following probability function: No. of Passengers 1 3 4 5 f(x) 0.40 0.30 0.15 0.10 0.05 a. Find E(X)| b. Var(X)