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) 0.31 1 0.38 2 0.14 0.07 0.05 0.03 0.02 a. Compute the mean number of accidents per day. 345C

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) 0.31 1 0.38 2 0.14 0.07 0.05 0.03 0.02 a. Compute the mean number of accidents per day. 345C

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Description: The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) belowNumber of AccidentsP(X= x;)Daily (X)0.3110.3820.140.070.050.030.02a. Compute the mean 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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If you have these information's, draw the histogram Mid-Point frequency Cumulative (0.0,0.1] (0.1,0.2] (0.2,0.3] (0.3,0.4] (0.4,0.5] (0.5,0.6] (0.6,0.7) (0.7,0.8] (0.8,0.9] (0.9,1.0] (1.0,1.1] (1.1,1.2] (1.2,1.3] (1.3,1.4] (1.4,1.5] (1.5,1.6] (1.6,1.7] (1.7,1.8] (1.8,1.9] (1.9,2.0] 0.05 1 1 0.15 35 36 0.25 230 266 0.35 609 875 0.45 1029 1904 0.55 1226 3130 0.65 1247 4377 0.75 1090 5467 0.85 858 6325 0.95 596 6921 1.05 426 7347 1.15 300 7647 1.25 167 7814 1.35 96 7910 1.45 37 7947 1.55 26 7973 1.65 13 7986 1.75 8 7994 1.85 4 7998 1.95 2 8000
Q.5 What are the properties of a distribution function?
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability that the wave will crash onto the beach between 1.9 and 2.3 seconds after the person arrives is P(1.9 3.26) = f. Find the minimum for the upper quartile. seconds.
Assuming the uniform distribution of deaths for each life, and given (i) q, = 0.039 (ii) qæy = 0.049. Calculate qx.
Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 1.7 seconds after the person arrives is P(x = 1.7) = d. The probability that the wave will crash onto the beach between 1.5 and 3.9 seconds after the person arrives is P(1.5 1) = f. Find the maximum for the lower quartile. seconds.
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. 이 p(x) 0.60 0.14 0.05 0.03 0.18 X 0 1 (a) Calculate the mean value of x. 2 3 4 (b) What is the probability that x exceeds its mean value?
1. The amount of time a Tech student spends on Instagram has an approximately exponential distribution with mean 60 minutes. a. What is the probability a randomly selected student spends less than 45 on Instagram? b. Illustrate your answer from a. using the pdf c. Find the cumulative distribution function for the time students spend on Instagram. d. What is the probability a randomly selected student is on Instagram for a time within 2 standard deviation of the mean?
plz hurry!
Let the random variable X denote the age of a female groundhog, and let the random variable Y denote the total number of offspring it has had. The joint probability distribution for X and Y is given by the above table. Find the correlation coefficient ρX,Y
Let x be the number of courses for which randomly selected student at a university is registered. The probability distribution of x appears in the following table. ( all students must be enrolled in between 1 and 7 classes ) x. 1 2 3 4 5 6 7 P (x) ( 0.02 ) ( 0.04 ) (0.09 ) (0.24) ( 0.39 ) ( 0.17 ) ( .05 ) a. Find mean (x) ( round to two decimal places ) B. Find standard deviation of x ( round to two decimal places ) c. What is the probability that x is within 1 standard deviation of the mean? In other words solve: p ( mean of x - standard deviation of x < x < mean of x + standard deviation of x )=
Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 0.7 seconds after the person arrives is P(x = 0.7) = d. The probability that the wave will crash the beach between 1.6 and 5.1 seconds after the person arrives is P(1.6 3.72) = f. Suppose that the person has already been standing at the shoreline for 0.8 seconds without a wave crashing in. Find the probability that it will take between 1.4 and 3.3 seconds for the wave to crash onto the shoreline. g. 65% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the minimum for the upper quartile. seconds.
in "a" the blank is "z" and "t" distribution