Using Chebyshev's theorem and the normal distribution, compare the probability that a number will lie within 3 standard deviations of the mean of a probability distribution. Explain what is observed. The probability a number will lie within 3 standard deviations of the mean according to Chebyshev's theorem is (Type an integer or decimal rounded to four decimal places as needed.)

Q: he normal distribution to approximate the binomial distribution. If you can, find the mean and…

A: here binomial distribution with n = 60 p = 0.59 =  probability that adult have used multivitamin in…

Q: A filling machine fills jars with syrup. The amounts poured is well approximated by a Normal…

A: The mean amount poured is 503ml, with a standard deviation of 1.4ml μ=503σ=1.4

Q: You are to write down on a piece of paper the number of credits you are taking this semester. Your…

A: Give the general format for solving this problem as below. Summarize the recorded date of number of…

Q: Find the probability that a single randomly selected policy has a mean value between 122736 and…

A: We have given that  The mean annual salary for graduates 10 years after graduation is 134000…

Q: “Oxygen demand” is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: a) According to range rule thumb the standard deviation can be estimated as σ = R/4, where R is the…

Q: Scores on a history test have average of 55 with standard deviation of 10. What is the probability a…

A:

Q: The length of human pregnancies from conception to birth varies according to a distribution that is…

A: Introduction: Define X as the random variable of interest here, denoting the length of human…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information, Mean (µ) = 149000 Standard deviation (σ) = 42000 X~N (149000, 42000)…

Q: The probability that a person has a received a vaccination for a certain is illness is .48. Assume…

A: There are two possibilities that either person has received a vaccination or not and it is given…

Q: Using the standard normal table. What is the probability a z-score is less than -0.88?

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: Apply the Central Limit Theorem for Sample Means A certain tropical fruit has weights that are…

A: Given that  Mean=639 Standard deviation=9 Sample size=20

Q: To transform a nonstandard normal distribution to the standard normal distribution you must…

A: Given,   Describe how you can transform a nonstandard normal distribution to the standard normal…

Q: 10. The SAT is one of two major college aptitude tests that is taken. The mean composite score is…

A:

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given: Population mean oxygen demand μ=9.2mg/L 95% confidence interval = 6.0 mg/L, 12.4 mg/L x is…

Q: Experience has shown that the weight of lemons produced by an orchard is normally distributed, with…

A: The distribution of sample mean will also follow normal distribution with mean parameter equal to 50…

Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the probability…

A: A normal distribution (X) has a mean of 100 and a standard deviation of 10.

Q: The standard deviation of a probability distribution is a measure of: the shape of the distribution…

A: We will solve the following

Q: Provide an appropriate response . Use the standard normal table to find the probability the lengths…

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Given, The number of pizzas consumed per month by university students is normally distributed with a…

Q: Driving speed (mph) approximately follows a normal distribution with mean 70 and standard deviation…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 5 X~N (70, 5)

Q: What is a chi-square distribution? Explain and give an example.

A: Chi-square is the distribution of a sum of squares independent standard normal random variables. If…

Q: The average age for a person getting married for the first time is 26 years (U.S. News and World…

A: Let X= age of getting married for the first time So, X follows a normal distribution with mean= 26…

Q: work-days and a standard deviation of 10 work-days. The probability that the project will be…

A: mean = 200 standard deviation = 10 P(X<185) = ?

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance…

A: Given Mean = 81000 Sd = 5000

Q: true or flase. the chi-square distribution, just like the normal distribution, has two parameters,…

A: It is an important part of statistics. It is widely used.

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Given that the number of pizzas consumed per month by university students is normally distributed…

Q: The weight of a pizza from a local provider is normally distributed with mean of 450g and standard…

A: Let the random variable X denotes the weight of a pizza from a local provider. It is given that:…

Q: Diameters of balls are normally distributed about the mean of 120 mm with a standard deviation of 3…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. Find the…

A: Given,          Mean μ=100        standard deviation σ =15

Q: What makes a function of a discrete variable a candidate for a discrete random variable…

A: Hey there! Thank you for posting the question.  Since there are multiple questions posted, we will…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Given information μ = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5 mg/L As per empirical…

Q: Question: From the normal curve of error, find the probability that a result is outside the limits…

A: The error in an experiment may be defined as the difference between the observed value and the…

Q: Runs scored in T20 matches in IPL follows normal distribution with mean of 187 runs and standard…

A: From the provided information, Mean (µ) = 187 Standard deviation (σ) = 22 X~N (187, 22)

Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…

A: A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of…

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Consider X be a random variable which follows normal distribution indicates the oxygen demand in the…

Q: A division-wide aptitude test in mathematics was conducted to 1000 pupils. The mean of the test is…

A:

Q: Mean (Average): 76 Population Standard Deviation, σ 19 Total Numbers, N 45     What is the…

A:

Q: ii- Using the properties of Normal distribution, find the values of variables in each case which…

A: Given Distribution: normal

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Let X be the random variable, defined as the oxygen demand.Here, X follows normal distribution with…

Q: a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal…

A: here p = probability of senior attend a particular school in a school district  = 0.62 n = 500

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Consider X be a random variable which follows normal distribution indicating the oxygen demand with…

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A:

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…

A: Consider X be a random variable that follows normal distribution indicates the oxygen demand in the…

Q: at is non-normal distribution? Give an example of a distribution that might be  non-normal

A: Non- normal distribution is the distribution which is not symmetric , bell shaped and unimodal that…