Probability with discrete random variablesThe first digits of data entries in most real-world data sets are not uniformly distributed. The most common firstdigit is 1, followed by 2, and so on, with 9 being the least common first digit. This phenomenon is known asBenford's Law.The table below is the probability distribution for Benford's Law where the random variable D represents thefirst digit in a data entry.D P(D) D P(D)1 0.301 6 0.0672 0.176 7 0.0583 0.125 80.0514 0.0979 0.0465 0.079What is the probability that a randomly selected data entry has a first digit less than 4?P(first digit less than 4)=Show Calculator3 of 4.

Given that Pmf of D is D 1 2 3 4 5 6 7 8 9 P(D) 0.301 0.176 0.125 0.097 0.079 0.067 0.058…

Answered: Probability with discrete random…

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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P(x) D 0 0.1666 In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. 1 1 0.3347 2 2 0.2857 3 0.0383 5 0.0252 0.1495 4 O A. OB C. OD. 0.4- 0.4- 0.4- 0.3 0.2- 0.4- 0.3+ 0.3- 0.3- 0.2- 0.1- 0.2- 0.1- 0.2- 0.1- 0.1- -> oi2345 ói23 45 Number of Hits 0123 4 5 Number of Hits ó i 2 34 5 Number of Hits Number of Hits Describe the shape of the distribution. The distribution has one mode and is skewed right. (c) Compute and interpret the mean of the random variable X. Hy= 1.6338 hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. The observed number of hits per game will be less than the mean number of hits per game for most games. O B. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. OC. The observed number of…
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Section : Negative Binomial & Hypergeometric Distributions Q: One of the popular tourist attractions in Alaska is watching black bears catch salmon swimming upstream to spawn. Not all “black” bears are black, some are tan-colored. Suppose that six black bears and three tan-colored bears are working the rapids of a salmon stream. Over the course of an hour, six different bears are sighted. What is the probability that those six include at least twice as many black bears as tan-colored bears?
View Policies Current Attempt in Progress State whether the process described is a discrete random variable, is a continuous random variable, or is not a random variable. Draw 11 cards from a deck and count the number of spades. O Discrete random variable Not a random variable O Continuous random variable Save for Later Last saved 1 second ago. Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes. Attempts: 0 of 1 used Submit Answer
Subject:Engineering Data Analysis Topic: Joint Probability distributions With complete solution and table. Thankyou
X 1 2 3. A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution. 3 4 5 6 P(x) 0.35 0.20 0.15 0.10 0.05 x*P(x a. Define the random variable x. b. Define P(x), or the probability of x. c. Find the probability that a physics major will do post-graduate research for four years. P(x = 4) =_ d. Find the probability that a physics major will do post-graduate research for at most three years. P(x ≤ 3) =_ e. On average, how many years would you expect a physics major to spend doing post-graduate research?
7:42 PM Sat Feb 4 Part: 0 / 2 Investment Return Construct a probability distribution for the data and draw a graph for the distribution. The probabilities of a return on an investment of $3000, $8000, and $12,000 are 1 7 respectively. I 9 9 Part 1 of 2 X P(X) $3000 $8000 $12,000 Enter your answers as fractions or as decimals rounded to 2 decimal places. Part: 1 / 2 Part 2 of 2 1 1 1 Graph the probability distribution. ●●● 010 www-awu.connectmath.com Ś 1 and I olo |ll| Submit Assignment ZOZ MOTAw hill LLC. All Rights Reserved. Terms of Use | Privacy Center 93%
Investment Return Construct a probability distribution for the data and draw a graph for the distribution. The probabilities of a return on an investment of 11 1 2 $3000, $8000, $11,000, and $13,000 are' 12' 12' Enter your answers as fractions or as decimals rounded to 2 decimal places. $3000 $8000 $11,000 $13,000 P(X) and respectively. + + + + + 8 E V db 6
A phenomenon is observed many, many times under identical conditions. The proportion of times a particular event A occurs is recorded. This proportion represents: O the variance of the event A Othe distribution of the event A O the probability of the event A O the correlation of the event A Submit Question pe here to search W 80

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