Historical data show that 15% of college students prefer Facebook to Instagram. A sample of 10 students is selected. Suppose X = the number of students from the sample who prefer Facebook, and X follows a binomial distribution. What are the possible outcomes of X?

Q: In a particular year 40% of home sales were partially financed by the seller. A random sample of 250…

A: The random variable p follows binomial distribution. The population proportion value is 0.40. The…

Q: 1. A random experiment consists of throwing 4 equal coins, if X is the number of tails: a. Find the…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: Example 23 : IfX has the binomial distribution with mean 25 and probability of success 1/5, find P(X…

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Q: The average June temperature in Indiana is normally distributed with a mean of 70.75 degrees and a…

A: Let X be the random variable from normal distribution with mean (μ) = 70.75 and variance  (σ2) =…

Q: A college student is conducting a survey to see if students prefer cats or dogs. They survey 100…

A: A discrete random variable X is said to follow the binomial distribution if its p.m.f is given by:

Q: B. The probability of an integrated circuit passing a quality test is 0.86. Assuming binomial…

A: "Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.2…

A:

Q: A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this…

A: Let p be the population proportion. The given sample size is 658 and proportion proportion is 0.58.…

Q: In a large population, about 60% of families own a video game console. A researcher takes a random…

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Q: Which of the following has a binomial distribution? Roll a die 10 times and count the number of…

A: Properties of binomial distribution: The number of outcomes is exactly two. The trials are…

Q: You’re shown a VRBO ad before 9% of the YouTube videos you watch. (a) What is the probability you…

A: Given: It is given that shown a VRBO ad before 9% of the YouTube videos you watch It means, you are…

Q: Historical data show that 20% of college students prefer Facebook to Instagram. A sample of 10…

A:

Q: using a binomial distribution  20% of US adults have some type of mental illness. You randomly…

A: Consider X be a random variable which follows binomial distribution indicates the number of adults…

Q: A surgeon routinely performs 4 surgeries. The chance the he performs surgery A is 30%. A random…

A: State the criteria for a binomial distribution and determine whether it does or does not meet each…

Q: Three assumptions are made by the binomial distribution. 1. the number of trials is 2. separate…

A: The probability density function of binomial distribution is given by: Where, n = sample size, x =…

Q: Q2. Identify the Incorrect statement. In a Binomial Distribution each trial: A. Has the same 2…

A: we know; in a binomial distribution- 1. each trials are independent. 2. each trials has only 2…

Q: The acceptable level for insect filth in a certain food item is 3 insect fragments​ (larvae, eggs,…

A: Solution: The probability a simple random sample of 40 ​ten-gram portions of the food item results…

Q: 45% of Americans don't know the sun is a star. The data is normally distributed. Find the…

A: Given that, n=120,p=0.45 The mean and standard deviation of the sampling distribution of  p^ is,

Q: In a binomial distribution, the individual trials are independent of one another. always false…

A: In the binomial distribution the trials are independent to each other and number of trials are…

Q: ariance of a Binomial Distribution with number of trials as 12 and probability of success being 1/3…

A: Variance of a Binomial Distribution with number of trials as 12 and probability of success being 1/3…

Q: A shop sells an average of 6 pieces of shirt every day, what's the probability that they will sell 2…

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Q: give and describe a scenario involving a binomial and a poisson random variable. you can use a…

A: From the given information we find the real life example of Binomial and poisson Distribution.

Q: Three random variables X, Y, and Z, are described below. In which of these situations would it be…

A: I: A bag contains 4 blue marbles and 8 red marbles. Five marbles are drawn at random with…

Q: In a large population, about 45% of people prefer tea over coffee. A researcher takes a random…

A:

Q: takes a multiple-choice exam with 12 questions. Each question has only one correct answer out of the…

A: (1)   The Bernoulli trials are choosing the answer for the multiple choice question

Q: 17. The probability that a high school student has smoked marijuana is 38%. If 12 high school…

A:

Q: If the probability of failure is 0.60 and the number of binomial trials is 90, what is t expected…

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Q: A random variable x has a binomial distribution with n = 10 and success probability 7 = 0.2. Find…

A: Hey there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

Q: Q4. The data in the table below shows a distribution for the marital status of adults living in a…

A: Given:   Single Married Widowed Divorced Total Male 100 250 25 40 415 Female 70 230 42 55…

Q: 5. The recovery rate for a disease is 0.4. In the study conducted on 200 randomly selected patients…

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Q: A case of wine has 12 bottles, 3 of which contain spoiled wine. A sample of 4 bottles is randomly…

A:

Q: A statistics professor receives an average of five e-mail messages per day from students. Assume the…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: Suppose a random variable, x, arises from a binomial experiment. Suppose n = 8 and p = 0.62. a.)…

A: Given that ; Sample size (n) = 8 P = 0.62 By using binomial distribution.

Q: In studies for a medication, 13 percent of patients gained weight as a side effect. Suppose 607…

A:

Q: b. The peak temperature in degrees Fahrenheit, on a July day in Antaratica is a normal random…

A:

Q: Flying   Telepathy   Super Strength  Female 32 77 77 Male 75 8 93 Distribution of Super Power…

A: The number of females is 32+77+77=186.Number of females with super strength is 77.

Q: Q-6 What is the sample space of tossing an unbiased coin three times. find the probability function…

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Q: 17. The probability that a high school student has smoked marijuana is 28%. If 16 high school…

A:

Q: Example 34: A random variable X has mean of 12 and variance of 9. If the probability distribution is…

A: Given : Mean ,   = 12 Standard deviation ,  = √9 = 3

Q: In a large population, about 65% of families take a vacation during the summer. A researcher takes a…

A:

Q: he probability of winning 5 games in 11 attempts is 0.4831. The number of games won has a binomial…

A: Given: The probability of winning 5 games in 11 attempts is 0.4831 The number of games won has a…

Q: Researchers are concerned about the rise in gun violence in their community among the adolescent…

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Q: lo correctly apply the binomial distribution, one of the conditions that there are only two possible…

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Q: Laura practices shooting basketball free throws.  She doesn’t shoot a fixed amount, instead she…

A: Solution Given the Laura practices shooting basketball free throws.  She doesn’t shoot a fixed…

Q: In the binomial distribution the important point is that the two a. Events and expected b. Events…

A: Complementary events are event which cannot occur together.

Q: In the binomial distribution the important point is that the two а. Events are complementary b. All…

A: Solution -: Option (c)  Outcomes are complementary is correct

Q: me, the gamer wins 20 dollars if he gets the number "6" facing up in rolling a fair die; he needs to…

A: The probability of winning in any trial is 1/6   The number of success = 3

Q: While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they…

A: X=Number of rotten eggs thrown by Liana Sample size n=20 p=0.1q=1-p=1-0.1=0.9 X~Binomn=20,p=0.1…

Q: Nine percent of all men cannot distinguish between the colors red and green. This is the type of…

A: We have given that  Probability (p) = 9% = 0.09n = 6  Since we know that the condition for binomial…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.