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: Assume that women's heights are normally distrubuted with a mean of 63.6 inches and a standard…

A: From the given information, the mean is 63.6 and the standard deviation is 2.5.

Q: Adult male heights have a normal probability distribution with a mean of 70 inches and a standard…

A:

Q: Where are most of the data gathered in a negatively skewed distribution? Which value is larger, the…

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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: Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).…

A:

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

A: Let "X" be the final examination grades in an introductory statistics course. Find z-value: Note…

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: The sick leave time of employees in a firm in a month is normally with a mean of 100 hours and a…

A: Dgg

Q: 44%  of students in a class have black hair. If 66 students are chosen at random, what is the…

A:

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: 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: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in North…

A: Let X be the price of a gallon of regular, unleaded gas across gas stations in North Carolina is…

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: Birth weights of babies born to full-term pregnancies follow roughly a normal distribution. At…

A: Let X be the random variable from normal distribution with mean (μ) = 7 pounds, standard deviation…

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: 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: Resting body temperatures are normally distributed with an average of 98.25 degrees Fahrenheit and a…

A: Let X be the random variable for body temperatures. X~Nμ, σ Where, Mean, μ= 98.25Standard deviation,…

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: Explain how you would determine the probability of belonging to the top 5% of a  class. Illustrate…

A: Normal distribution: A continuous random variable X is said to follow normal distribution if the…

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

A: We have to find given probability..

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

A: Given problem Given that