Question 1An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probabilitydistribution of the face value, X, is as follows:1230.34XiP(X = x₁)0.110.18Xi1To find the expected value the following table was set up:P(X = x₂)0.1123456E[X]0.34=0.240.050.23.Total:Fill out the blanks in the table above and compute the E[X]:x₁ · P(X = x₁)1.0.11 0.112.0.18 0.364.0.250.12==1.025.0.12 0.6=(Round the answer to 2 decimals)60.05Total1

Answered: An unfair die looks like an ordinary…

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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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 )=
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.
For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.
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A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
Nicole has purchased the life insurance policy for her fish for the price of $200 per year and Nicole will receive $4000 in case if her fish passes away. The insurance company estimated the probability of her fish passing away during the length of the policy to be 0.5%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) fish passes away fish survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? Le
The helght of all the people in your neighborhood. QUESTION 6 The Sarasota Police department collected data on the number of car accidents ( X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. P(X) 0.80 1 0.15 0.05 What is the expected mean (average) number of accidents that occur each day? 0.50 0.25 0.33 1.00 Hal Saveand Submit to saue and submit Click Save All Ansm e Type here to search
A survey of almost 44,000 two-child families yielded the accompanying table. The probability distribution of x, the number of boys in a two-child family is given below. Find E(x) and give a practical interpretation of its value. Gender Configuration Proportion D Girl-girl (GG) Boy-girl (BG) Girl-Boy (GB) 0.215 0.267 0.256 P(x) 0.215 0.523 0.262 Boy-boy (BB) 0.262 Choose the correct answer below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. If a very large number of households were sampled, on average, there would be E(x) = boys. O B. If a very large number of two-child households were sampled, on average, there would be E(x) = boys. of getting a family with a boy. %3D O C. If a very large number of two-child households were sampled, there would be a probability of E(x) = O D. In the sample of 44,000 households, each household had E(x) = boys.

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