### 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? ["", "", "", "", ""]
(d) What is the probability that a random sample of 16 people will exceed the weight limit? An elevator at a college has a posted weight limit of 2,700 pounds, and a maximum capacity of 16 people. We determined that if the sample mean x ≥ 168.75 for a particular sample of 16 people, then the weight capacity will be exceeded. We are asked to determine the probability that a random sample of 16 people will exceed the weight limit. We previously determined the mean and standard deviation of the sampling distribution of x. We are given that the distribution of weights of individuals on campus is approximately normal, so the sampling distribution of X is approximately normal also. We can calculate the desired probability by standardizing. Recall the standardization formula. = P( ₂2 b=H=²) H = 165 σ- = 7.75 P(x ≥ b) = Pzz In other words, we need to find the following. (Round your answer to four decimal places.) 7.75 X - 165 = P(₂ P(x > 168.75) = = P(z = = 1 - > 165 ≤7.75 7.75 x X
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.)
D1) Suppose the time it takes for an ambulance to arrive in response tk a 911 call follows a normal distribution with the mean 8 mind and SD of 2 mins if someone dials 911 for health emergency, what is the probability the ambulance took between 6-10 mins to arrive
Please answer the last items
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
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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?
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