Students mark on an exam has a normal distribution with a mean of 65 and SD 10. What is the probability that a student scores between 50 to 80 on the exam?

Q: What probability falls within one standard deviation of the mean?

A: It is given that the statement about to the probability falls within one standard deviation of the…

Q: Explain this quote by Peter Thiel. “Most people are average. Founders are not. Founders' traits seem…

A: “Most people are average. Founders are not. Founders' traits seem to have an inverse normal…

Q: Explain the the Chi-Squared Distribution?

A:

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: Suppose z is a normal random variable. If you need to find P ( Z > 1.84 ), explain how to shade the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ, where µ and σ are the mean…

Q: Jacob helped his younger sister create a gameboard spinner. The spinner has a 53% chance of landing…

A:

Q: What is the distribution of x=21

A: We know that , A discrete distribution is a statistical distribution that shows the probabilities of…

Q: Money people carry into the store is normally distributed with a mean of $258 dollars and a standard…

A: GivenMean(μ)=258standard deviation(σ)=35sample size(n)=76

Q: Write any five properties of normal distribution.

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

Q: erature of healthy humans has a normal distribution with mean 98.3°F and variance 0.5375. What is…

A: The standard deviation is calculated as: σ=0.5375=0.73314≃0.733 Given:μ=98.3, σ=0.733 The…

Q: The waiting time for a bus has a uniform distribution between 2 and 11 minutes. What is the 75th…

A: The objective of this question is to find the 75th percentile of a uniform distribution. A uniform…

Q: It is known that the distribution of the soda consumption by teenagers follows a normal distribution…

A: Answer: - Given,  X ~ N(μ,σ)                 Where, μ  = 12,   and σ = 4                 What is the…

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 68% of…

A: given data normal distribution population mean  = 600 population sd = 20

Q: A laptop company claims up to 9.1 hours of wireless web usage for its newest laptop battery life.…

A: Given:x = 9.1 hoursμ = 8.5 hoursσ = 39 minutes = 0.65 hours

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: A certain video game has 72% chance of sucess. During summer vacation a person plays 12 games a day.…

A: In question, Given that A certain video game has 72% chance of sucess. During summer vacation a…

Q: For a measure of  body weight, converted to z or standard scores, what is the probability of having…

A: Solution For standard normal distribution, Mean=0  & standard deviation = 1. Find:

Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Given that, A set of final examination grades in an introductory statistics course is normally​…

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: Statisticians believe that if a test is valid, it should follow a normal distribution with a mean of…

A: Statisticians believe much time if the test is valid it follows Normal Distribution many times but…

Q: Explain when a random variable might be modelled using a Normal distribution, and give an example of…

A: Mathematically, Whenever a random variable is formed by adding a number of other individual…

Q: Automobile repair costs continue to rise with the average cost now at $367 per repair. Assume that…

A: Table and R command has utilized to calculate the probability.

Q: A major application of analytics in marketing is determining customer retention. Suppose that the…

A: Given, The customer leaving for another carrier from one month to the next is 0.07We have to find…

Q: A physical fitness association is including the mile run in its secondary-school fitness test. The…

A: According to the given information in this question We need to find the following probability

Q: Assume the average weight of a schoolchild's book bag is 17.5 pounds, with a standard variation of…

A: Let X be a random variable that denotes the weight of the child's school bag. Then, it is provided…

Q: Supposed the price of paid apps for a certain category is normally distributed with the mean of $3.5…

A: Given that the  price of paid apps for a certain category is normally distributed with, Mean = 3.5…

Q: What is the difference between a normal and binomial distribution?

A: Statistics uses normal distributions more often than binomial distributions most of the time.…

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…

Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?

Q: Average cost per flight is $350 with standard deviation of $64. If you randomly select 75 flights,…

A:

Q: The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume o = 2.6…

A: a) The required probability is 0.7556Explanation:from the given data : mean (mu)=64.2standard…

Q: Suppose that the ages of all MIT students are normally distributed with mean 24.01 yrs and s.d. 5.31…

A: Given,mean(μ)=24.01standard deviation(σ)=5.31

Q: Research has shown that IQ scores form a normal distribution with a H = 100 and o = 15. We also know…

A: Given Information: Mean, μ=100 Standard Deviation, σ=15

Q: About 75% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A:

Q: What is probability and how is it related to the normal distribution?

A: Probability is a branch of mathematics that deals with the study of random events and their…

Q: What is the mean of a distribution of means that is blank the means of the population?

A: Given problem Given that