One word is randomly selected from the following sentence: THE GRASSNEEDS CUTTING AND SHOULD BE CUT BY TOMORROW AFTERNOON. LetX represents the number of letters in the randomly selected word.Construct the probability distribution of the given discrete randomvariable then find: a. Mean, b. Variance and c. Standard Deviation of thediscrete random variable.4.285.405.044.822.322.23MEANVARIANCESTANDARDDEVIATION

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Answered: One word is randomly selected from 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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do a , b, c
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
In a recent survey, approximately 90% of U.S. adults own a cell phone. Let's assume this can be modeled as a binomial distribution. In a group of 20 randomly selected adults, what is the standard deviation of the number of adults you would expect to own a cell phone? TTT Arial v T RBC 3 (12pt) Click Save and Submit to save and submit. Click Save All Answers to save all answers.
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied, P(x) O 0.086 0.326 0.414 0.174 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. O E. No, not every probability is between 0 and 1 inclusive.
A random variable follows a binomial distribution with a probability of success equal to 0.68. For a sample size of n=8, find:- 1.The probability of exactly 3 success 2.The expected value(mean) 3.The variance of the random variable
* Your answer is incorrect. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i 98.80
In a given company, employee should sign in using the biometric time clock. There are 3 devices in thecompany and the probability that it works is 95%.Let x be the random variable of the number of devices working at a given day.1. Construct the probability distribution of x.2. Find the mean value and interpret it.3. Find the standard deviation and interpret it.

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