The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean ofseconds.(a) Sketch this exponential probability distribution.f(x)f(x)f(x)f(x)0.150.150.150.150.100.100.100.100.050.050.050.0551015202530510152025305101520253051015202530(b) What is the probability that the arrival time between vehicles is 10 seconds or less? (Round your answer to four decimal places.).6321(c) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.).4512(d) What is the probability of 32 or more seconds between vehicle arrivals? (Round your answer to four decimal places.).0498

Exponential distribution is used to estimate the probability of time between two events. The…

Answered: The time between arrivals of vehicles…

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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Find the mean of the following probability distribution. xx P(x)P(x) 0 0.1536 1 0.2644 2 0.1896 3 0.2421 4 0.1502 mean = xx P(x)P(x) 0 0.25 1 0.15 2 0.3 3 0.3 Find the mean of this probability distribution. Round your answer to one decimal place.
Find the variance for the probability distribution X 4 0 1 2 3 P(X=x) 0.04 0.18 0.34 0.23 0.21 Select one: a. 3.79 b. 1.59 c. 1.26 d. 1.12
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table below. y P(xy) 1 2. 0. .025 .015 .010 .050 .030 020 2. .125 .075 050 3. 150 090 060 4. 100 .060 040 050 .030 .020 Suppose the left-turn lane is to have a capacity of six cars, and that one bus is equivalent to three cars. What is the probability of an overflow duringa cycle? Select one: O 48 O 28 O38 0.18
Refer to this figure to answer number 8- 10. The table below show the probability distribution of number of face mask sold per day. 1 2 3 5 6. 7 8. 10 0.07 P(x) P/x) 0.16 0.07 0.1 0.09 0.1 0.07 0.08 0.1 0.17 0.56 1.4 1.96 5.76 11.56 0.16 0.40 0.16 0.14 0.3 0.36 0.5 0.42 0.56 0.9 1.7 X-U -4.6 -3.6 -2.6 -1.6 -0.6 0.4 2.4 3.4 4.4 (x-)A2 (x-u)A2 *P(x) 21.16 12.96 6.76 2.56 0.36 0.16 19.36 3.39 0.91 0.68 0.23 0.04 0.01 1.16 3.29 8. What is ExP(x) =? A. 5.6 B. 6.5 C.7 D. 8 9. What is a? = E[(x - 4) P(x)] A. 5.9 %3D В. 8.6 С. 10.25 D. 11.35 10. If the standard deviation of the variance of problem number 9 is 3.20156, then how do we get the value of standard deviation given the value of variance? A. Vo? B. Va C. uP(x) D. o ololo-
please do this typewritten asap.
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.
What type of distribution does Y follow? A. Exponential B. Poisson C. Uniform D. Binomial E. Bernoulli
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...
%23 The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Number of Accidents P(X= x;) Daily (X) 0.28 0.31 0.17 3 0.09 0.07 0.05 4 0.03 a. Compute the mean number of accidents per day. (Type an integer or a decimal. Do not round.) More data-3_24_2022-4..xlsx 67 F e Type here to seareh
Determine whether the following are valid probability models or not. Type "VALID" if it is valid, or type "INVALID" if it is not.
1. A sample is used to construct a confidence interval for an unknown population mean. Which of the following is the least likely to result in a decrease in the margin of error? (a) Increasing the sample size (b) Increasing the confidence level (c) Decreasing the confidence level (d) A change in the standard deviation of the population. Answer to Question 1:
A fitness center bought a new exercisemachine called the Mountain Climber. Theydecided to keep track of how many people used themachine over a 3-hour period. Find the mean, variance,and standard deviation for the probability distribution.Here X is the number of people who usedthe machine. X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1

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