If you were to use the normal approximation for the binomial distribution with probability of success p and n trials, what is the formula for the standard deviation o of the normal approximation?

Q: The mean and standard deviation of a binomial probability distribution with n=25 and p = 0.20 are

A: p = 0.2 n = 25

Q: If you select a random z-score from the normal distribution, what is the probability that you will…

A: The formula for z-score is as follows: z-score = x-μσ

Q: Suppose in a sample one number from a standard normal distribution, what is the probability it will…

A:

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: GivenMean(μ) = 100standard deviation(σ) = 13

Q: Using the standard Normal Distribution table, what is the probability of scoring above a z-score of…

A: Given Probability of scoring a z score of +0.61

Q: Historically, about 51% of the babies born in the US are boys. A survey plans to study 650 randomly…

A: The sampling distribution of sample proportions is a normal distribution with mean equal to the…

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: Which describes a normal distribution with mean μ and variance o²?

A: here use basic of normal distribution curve

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

Q: for a normal standard distribution, what is the probability that z>=.0.04?

A: We have given the normal standard deviation. The given z-score is- z≥0.04 We have to find the…

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A:

Q: For a binomial distribution with n = 15 and p = 0.2, what is the standard deviation of the…

A:

Q: For a binomial distribution with p=- and µ=- the standard deviation is

A:

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…

A: The given information is that the scores distributed normally with mean 3 and variance is 49. The…

Q: A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this…

A: According to the provided information,

Q: Suppose the random variable xx has a normal distribution with μ=300μ=300 and σ=30σ=30. Find the…

A: Given: μ=300, σ=30.

Q: The normal distribution is always used when the null hypothesis involves population mean.   A)…

A: Given: The normal distribution is always used when the null hypothesis involves population mean.

Q: Although studies continue to show smoking leads to significant health problems, 20% of adults in a…

A: From the provided information, 20% of adults in a country smoke. Sample size (n) = 150 adults…

Q: For a binomial random variable with a mean of 20 and 100 trials, what is the standard deviation?

A: For a binomial random variable with a mean of 20 and 100 trials, what is the standard deviation?

Q: Using a Standard Normal Distribution table, what is the probability of scoring below a z-score of…

A: Solution

Q: -What proportion of the normal distribution is in the tail beyond z= +2.00?

A: Normal distribution is a continuous distribution which has many real-life applications. A normal…

Q: For a population mean of 35, a sample was taken with a mean value of 40 and sample size equal to 30.…

A: Given data,μ=35σ=20x=40n=30P(X>40)=?

Q: What is the standard deviation for a binomial distribution where the probability of success is .2…

A: Given :P = 0.2n = 22

Q: If X is normally distributed with mean 10 and standard deviation 2, what is the probability that X…

A:

Q: Which of the following probability values corresponds to values of a normal random variable within…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: For a normal random variable with mean 650 and standard deviation 40, find the probability that its…

A: Given information- Population mean, μ = 650 Population standard deviation, σ = 40 Let X be the…

Q: Given a standard normal distribution (with a mean of 0 and a standard deviation of 1) what is the…

A:

Q: For a normal random variable with mean 16.5 and standard deviation 0.8, find a point of the…

A: From the provided information, Mean (µ) = 16.5 Standard deviation (σ) = 0.8 Let X be a random…

Q: What is the probability of randomly selecting a zscore less than z = - 1.25 from a normal…

A:

Q: Suppose that a variable has a binomial distribution with n = 17 and p = 0.85. What is the expected…

A:

Q: In a Binomial experiment where the number of experiments is N = 50 and the probability of the event…

A: Given: N=50p=0.4q=1-p=0.6 The normal approximation of binomial distributiion states that,  If…

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A:

Q: For a normal population with mean = 100 and population standard deviation = 20:   a.    What is…

A: Given Information: Mean μ=100 Standard deviation σ=20 (a) To find the proportion of X that is less…

Q: iven a normal distribution (X) with mean = 100 and standard deviation () = 10, what is the…

A: Given data,μ=100σ=10P(X>101)=?

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: Given,mean(μ)=100Standard deviation(σ)=11

Q: The 80th percentile of the standard normal (Z) distribution is 84. O True False

A: Step1: Given distribution is standard normal. i.e, Z~N(0,1) Hence, μ=0 and σ=1

Q: In a t distribution with 10 degrees of freedom, what is the probability of getting a value within…

A:

Q: In a log normal distribution. What is the expected value of the mean and the Std. And what is the…

A: The mean and standard deviation of log normal distribution is to be found out. The log normal…

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A:

Q: Consider a binomial distribution for 4 trials and a probability of success of 0.16 on each trial.…

A: Consider a binomial distribution for 4 trials and a probability of success of 0.16 on each trial.…

Q: For a Poisson distribution of drivers with mean = 20, what is the probability that the number of…

A: Given that the mean =μ= λ=20So, the standard deviation=σ=λ=20We have to find P(μ-2σ≤X≤μ+2σ)

Q: The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A:

Q: When can a binomial distribution typically be approximated by a normal distribution? Which of these…

A:

Q: The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A: Given Mean=19 Standard deviations=7

Q: he variance of a binomial variable's distribution equals 100, for giver True O False

A: Let a random experiment be performed repeatedly, each repetition is called a trial. let the…

Q: In the Standard Normal Distribution, what is the probability of getting a z-score between -.54 and…

A: We have given that a standard normal distribution with z-scores -0.54 and 1.68.

Q: The 90th percentile of the standard normal distribution is 1.645.  True  False

A: For standard normal distribution, μ=0 and σ=1 90% percentile means, PZ≤90th percentile value=90%

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.