Two candidates are running for​ president: John Democrat and Joe Republican. A recent survey concluded that Joe Republican had a probability of 0.43 to win the election. Four hundred people are interviewed at random about whom they would vote for.    A random variable X is defined as the number of people who said they would vote for Joe Republican. Find the expected value of the random variable   Expected Value​ =

Q: 90% of the voters favor Ms. Stein. If 400 voters are chosen at random, what is the expected number…

A: Let X be the number of voters who indicate favoring Ms. Stein. Suppose 90% of the voters favor Ms.…

Q: 35% of UR students are international students. Of those who are international students, 15% are on…

A: Solution: Let A be the UR students are international students and B be the UR students are on the…

Q: pollutants, but results in false positives for 18% of cars that emit quantity considered normal.…

A:

Q: A certain type of missile hits its target with a probability of 0.3. How many missiles should be…

A:

Q: 30% of the firm's orders are from first time customers. Consider random sample of 84 orders. Find…

A: Given,n=84p=0.30

Q: A company publishes statistics concerning car quality. The initial quality score measures the number…

A: Given that Car A had 0.89 problems

Q: The manager of a supermarket found that 72% of the shoppers who taste a free sample of a food item…

A: Let X= number of shoppers that will buy the item who taste a free sample Given that the probability…

Q: Explain Bayes theorem with examples and applications.

A: BAYES' THEOREM It is a concept used to determine the conditional probability of events. Consider two…

Q: Eighteen percent of adults in Austria have completely paid off their house mortgage. You randomly…

A: Let X denote the number of 10 adults have completely paid off their house mortgage. Then X follows a…

Q: Twenty-four percent of executives say that older workers have blocked their career advancement.…

A: Fifty executives are randomly selected and are asked if they think that older workers have blocked…

Q: A recent survey showed that the probability of a student using an on-line motorcycle taxi is 0.6.…

A: From the provided information, Probability of a student using an on-line motorcycle taxi is 0.6. Let…

Q: Enterococci are bacteria that cause blood infections in hospitalized patients. One antibiotic used…

A: given data  P(have resistance to vancomycin) = 0.03resistance to vancomycin means not succesfully…

Q: a. 27% students have passed their last year's degree examination. A random sample of 7 students is…

A: Given data ,PPass=27 %=0.27PFail=1-PPass=1-0.27=0.37If n=7P4≤x≤6=?

Q: Ninety-four percent of Washington community college transfers feel that their community college…

A: Solution: Let X be the number that feel that their community college adequately prepared them to…

Q: The life of a battery is normally distributed with mean 70 hours with a standard deviation of 10…

A: Given, μ = 70 σ = 10 Z = X-μσ

Q: From the research conducted by a Cancer Research Institute, it has been found that 5 percent of male…

A: Number of male cancer patients = 50 Number of female cancer patients = 50 Total number of cancer…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given: The probability of eligible voters in the next election who will vote for the incumbent is…

Q: The probability that a family owns a washing machine is 0.68 that it owns a DVD player is 0.81, and…

A: GivenP(family owns a washing machine)=0.68P(family owns a DVD player)=0.81P(family owns both washing…

Q: 0.06% of the population is said to have a new disease. A test is developed to test for the disease.…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: According to the American Red Cross, 11.9% of all Connecticut residents have Type B blood. A random…

A: Let the random variable X denote the number of Connecticut residents that have Type B blood and it…

Q: Candidate A is running for president of the student government at a large university. The…

A: given data  n = 100P(favor candidate A )  = 0.7P(not favor candidate A ) = 1 - 0. 7 = 0.3x = no. of…

Q: A jar contains green wrapped candies and yellow wrapped candies.  A person selects two wrapped…

A:

Q: About 60% of babies born with a certain ailment recover fully. A hospital is caring for five babies…

A: Binomial experiment :  Binomial experiment describes the possible number of events occurs in fixed…

Q: A certain pregnancy test is undergoing clinical trials. 60% of the women are pregnant. The test…

A:

Q: A study showed that ​69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

A:

Q: About 0.5% of adults have nut allergy. The test correctly identifies 94% of the time adults with…

A:

Q: About 13% employed adults in the US held multiple jobs. Random sample of 74 employed adults is…

A: Given, About 13% employed adults in the US held multiple jobs. Random sample of 74 employed adults…

Q: Let Random variable X be the sum of two dice. Present the probability distribution (tabular) of the…

A:

Q: Out of a student group of 85 people, 39 people play basketball, 42 people play football and 25…

A: Introduction: Define the following events: B: Plays basketball; F: Plays football; T: Plays tennis;…

Q: The first product of a test run was inspected and found to be non-defective. What is the probability…

A: Let us define some events A : the machine is correctly tuned. B : the machine is not correctly…

Q: Find the probability that two random samples, each consisting of 200 voters, indicated a greater…

A: The election return showed that a certain candidate received 65% of the votes.  n1 = 200 n2  =200…

Q: According to the American Red Cross, 8% of all Connecticut residents have type B blood. A random…

A: Let X be the number of CT residents who have type B blood which follows binomial distribution. Here,…

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A:

Q: 58% of all violent felons in the prison system are repeat offenders. If 43 violent felons are…

A: Here Normal approximation to binomial dist. is applicable  as np and nq are greater than 10

Q: Berkat Health Insurance wishes to introduce a new insurance policy for smokers. They conducted a…

A:

Q: 66% of kids are worried about going back to school. In a random sample of 75 kids, what is the…

A: Here we need to find the required probability using binomial distribution.

Q: The World Series in baseball ends when a team wins four games. Suppose that the Cardinals and the…

A:

Q: About 40​% of babies born with a certain ailment recover fully. A hospital is caring for seven…

A: A binomial experiment is a statistical experiment that has the following properties:The experiment…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.