Let X be a random variable for the number of car accidents per household per year. Consider thefollowing probability distribution for the random variable X.x|f(x)0 0.811 0.172 0.0093 0.0064 0.0045 0.001Find the probability that a randomly selected household had at least one accident per year. Ifneeded, round to FOUR decimal places. Below is the pdf for the random variable X:f(x)=4X5(2)0,x = 0, 1, 2otherwiseFind F(1.5).If needed, round to FOUR decimal places.

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Answered: Let X be a random variable for the…

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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A small inn has 4 rooms. Let X represent the number of rooms that are rented out on any given Saturday. The following table describes the probability distribution of X. What is the mean of the random variable X? μX =
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age Number of Multiple Births 15-19 90 20-24 512 25-29 1633 30-34 2839 35-39 1842 40-44 379 45-54 115 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)=0.6320.632 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=nothing (Type an integer or decimal rounded to three decimal places as needed.)
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 7.3 mg/L to 12.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand.
Suppose you choose four people at random from a Statistics class in which you know 20% of the students have an A average. Let X be the number of students in your sample who have an A average. Obtain the probability distribution for X and plot the probability histogram. X Probability 0 i N 3 A 0.45 0.4 0.35 0.3 i Probability histogram: 0.25 i MI 0.2 0.15- 0.1 0.05- 0 0 1 2 X Figure 1. 3 0.45 0.4 0.35 0.3 0.25 m 10 el 02 0.15 0.1 0.05 0 0 2 X Figure 2. 3 0.45 0.4 0.35- 0.3- 0.25 02- 0.15 0.1- 0.05 0 0 1 2 X Figure 3. 3
Mean St. Dev. Distribution Males 23.5 in. 1.1 in. Normal Females 22.7 in. 1.0 in. Normal Use the data in the table for sitting adult males and females. These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Find the probability that a female has a back-to-knee length between 22.0 in and 24.0 in Warning! This question is not multiple choice! You are to fill in the blank with the correct answer. Write your answer in the form 0.1234
A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
Choose an American household at random and let the random variable ?X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars. Number of cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 About what percentage of households have a number of cars within 2 standard deviations of the mean?
Subpart A,B,C
Subpart D,E,F
A customer service center is tracking number of complaints in each week. Let X be the number of complaints in each week. The probability distribution of X is summarized as below. X 0 1 2 3 Probability 0.4 ? 0.15 0.05 Can we be certain that the standard deviation of X is less than 3?
Benford's law, also known as the first-digit law, represents a probability distribution of the leading significant digits of numerical values in a data set. A leading significant digit is the first occurring non-zero integer in a number. For example, the leading significant digit in the number 127 is 1. Let this leading significant digit be denoted x. Benford's law notes that the frequencies of x in many datasets are approximated by the probability distribution shown in the table. 1 3 4 5 7 8 9. P(x) 0.301 | 0.176 | 0.125 | 0.097 0.079 | 0.067 0.058 0.051 | 0.046 Determine E(X), the expected value of the leading significant digit of a randomly selected data value in a dataset that behaves according to Benford's law? Please give your answer to the nearest three decimal places.
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The hair color of adults in the United States c. The number of light bulbs that burn out in the next year in a room with 14 bulbs d. The weight of a hamburger e. The square footage of a pool f.The amount of rainfall in a country in a year

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