### Probability Distribution of Defective TiresSuppose 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:| $ x $ | 0 | 1 | 2 | 3 | 4 ||-------|------|------|------|------|------|| $ p(x) $ | 0.60 | 0.14 | 0.05 | 0.03 | 0.18 |#### Questions:(a) **Calculate the mean value of $ x $.**(b) **What is the probability that $ x $ exceeds its mean value?**

We have given the following probability distribution tablexp(x)00.6010.1420.0530.0340.18

Answered: Suppose the probability distribution 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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Consider the probability distribution for number of children in local families. x P(x) 0 0.03 1 0.11 2 0.36 3 0.33 4 0.17 Find the mean number of children in local families ["", "", "", "", ""] Find the standard deviation of the number of children in local families ["", "", "", "", ""] Would 4 children be considered a significantly high number of children? ["", "", "", "", ""]
For a particular disease, the probability that a patient passes away within the xth year is given by the following table: x P(x) 0 0.039 1 0.034 2 0.337 3 0.291 4 0.25 5 0.023 6 0.026 This means that the probability that someone passes away within the first year is 0.039. The probability that they pass away after one year would be 0.034. What is the mean number of years someone survives? (round to two decimal places) What is the standard deviation for the number of years someone survives? (round to two decimal places) The Range Rule of Thumb for survival would be: years to years. (Round each to two decimal places.) In your own words, interpret what the Range Rule of Thumb tells us about this disease. (If you don't remember what the Range Rule of Thumb is, review the heading "Unusual Values" in the Learning Activities.)
The cost of all maintenance for a car during its first year is approximately exponentially distributed with a mean of $204. a. The lambda of this distribution is b. The probability that the cost is larger than $238 is P(x > $238) = c. The probability that the cost is less than $76 is P(x s $76) = d. The probability that the cost is between $185 and $244 is P($185 s x < $244) = e. The 61st percentile is cost of maintenance s
In the following probability distribution, X represents the number of calls a telemarketer makes in a day, and the probability they make that many calls. П. 75 0.05 X 100 50 0.01 125 150 175 P(X) 0.15 0.20 0.30 a) Find P(X=175) b) Find E[X] ( c) Find the Variance and Standard Deviation ofX
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 Would it be unusual to randomly select a person who has received four or more tickets in a three-year period? A. Yes B. NoIs it correct answer B?
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 3 4 P(x) 0.60 0.14 0.05 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
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?
A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. (b) What are the mean ? and variance ?2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.)
For what model are the following expressions the cumulative probability distribution for response? What is the meaning of the ; ? Pr(Y, 5 j\x)= Pr(5, S a, \x) = Pr(a + B* + + Bixu + &; < a;\x) = Pr(ɛ, sa;-a- B,xX1 -…-- B;Xx |x)
I am in Prob/Stat! Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places. x P(x) 0 0.15 1 0.15 2 0.2 3 0.5 I have multiplied P by x, thus, P(x) as such: 0.15(0) = 0 0.15(1) = 0.15 0.2(2) = 0.4 0.5(3) = 1.5 I then add the four together to get the sum of; 2.05. What am I doing wrong? Am I not finding the standard deviation correctly?? Thank you in advance!
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