A fair coin is flipped 100 times . Find the mean and standard deviation for the number of tails for this distribution.

Q: The average age of accountants is 53 years, with a standard deviation of 5 years. If an accounting…

A: We have to find probability..

Q: Derive the mean and variance of a Student's T distribution

A: Let us assume X is a random variable following standard normal distribution and Y is a random…

Q: An economics professor decides to curve the grades of his class. In doing so, he decides to make it…

A: Given data: An economics professor decides to curve the grades of his class. In doing so, he decides…

Q: how much will the probability that the students are aged above 15 years old change?

A:

Q: Scores for a standardized test are normally distributed with a mean of 1200 and a standard…

A: given data μ = 1200σ = 60 normal distributionn = 64P(1200<x¯<1214) = ?

Q: The binomial distribution can be used to model the daily number of pedestrian bicycle crashes on…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: given data μ=200σ=9normal distribution P(200<x<225)=?

Q: the probability that a ball dropped from a certain height will strike the ground is 80 percent and…

A: Given: Number of trials or balls (n) = 12 Probability of success  here (p) = 0.80 Let X ~ Bin(12,…

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: It is given that  Mean, μ = 200 Standard deviation, σ = 9 Z-Score, Z = ( X - μ )/σ

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: Derive the mean and variance of the t distribution.

A: Given that We have to derive the mean and variance of t distribution:

Q: Calculate the mean and standard deviation for the distribution which defines selecting a faculty as…

A: Given that  10 facility  8 administrators  8 committee  We have to find mean and standard deviation…

Q: A bank's loan officer rates applicants for credit. The rating are normally distributed with a mean…

A: From the given information,   Mean = 705 Standard deviation = 32 Sample size = 50

Q: Write any five properties of normal distribution.

A: The normal distribution is also called Gaussian distribution. The distribution is widely used in…

Q: If a normal distribution has a mean of 77 and a standard deviation of 11, complete the normal…

A: Given that  Mean = 77, Standard deviation, SD = 11

Q: Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8…

A: Given that  Mean = 8 Standard deviation = 2 Find P(X = 8 )

Q: A random sample of 100 male students is drawn from a particular class. The mean and standard…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: The daily high temperature for the month of August in Chicago is normally distributed with a mean of…

A: Let X be the high temperature for the month of August in Chicago is normally distributed with a mean…

Q: The average time a person spends shopping in a grocery store is 43 minutes.  If the time is normally…

A: Given:  The average time a person spends shopping in a grocery store is 43 minutes.  The time is…

Q: Energy consumption for single family comes is a mean of 1050kw and standard deviation of 218kw. Find…

A: Given information- Population mean, μ = 1050 kw Population standard deviation, σ = 218 kw We have to…

Q: A​ bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: how to know if something is a normal distribution or not

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data…

Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…

A: The probability between two specific numbers a and b in a normal distribution with mean μ and…

Q: What does a distribution represent?

A: A distribution nothing but function that represent the possible values for a variable and how often…

Q: The weights of college football players are normally distributed with a mean of 193 pounds and a…

A: Mean = 193 Standard deviation = 53

Q: IQ scores for students at a prestigious university are normally distributed with a mean of 110 and a…

A:

Q: It is possible to have a standard deviation of -1 for some data set? True or False

A: See the below solution

Q: students has an average of 300 dollars and a standard deviation of 1,000. Suppose that we take a…

A: It is given that the random variable X i.e, the amount of money in savings accounts follow normal…

Q: The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the…

A: Given that  Mean = M = 57337 Standard deviation = SD = 7500 X ~ Normal ( M = 57337 , SD = 7500 )…

Q: The mean score in a test is normally distributed with mean 30 and standard deviation 10. What is…

A: Given :  Mean, μ = 30 standard deviation, σ = 10 x = 55

Q: The average credit card debt for college seniors is $3262. If the debt is normally distributed with…

A: Let X be the random variable from normal distribution with mean (μ) = $3262 and standard deviation…

Q: Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If…

A: In this scenario, it is known that the  mean weight is 64 pounds with a corresponding standard…

Q: Gülce spends 8 hours for Roblox per day. If the probability of spending less than 6 hours in a…

A:

Q: The average score of all golfers for a particular course has a mean of 64 and a standard deviation…

A:

Q: The normal PROBABILITY plot is supposed to show a straight line if your data have a normal…

A: Normal probability plot: It can be used to determine the small sets of data come from a normal…

Q: s 6 hours a day. If college students were randomly selected, find the probability that the mean…

A: Let X be the random variable from normal distribution with mean (μ) = 6 hours and standard deviation…

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: makes a distribution a normal distribution?

A: Properties of normal distribution  a) The mean , median and mode of a distribution is same it is…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.