4. Consider that in a population of Filipino adults ages 18 to 65, Body Mass Index (BMI) is normally distributed with a mean of 28 and a standard deviation of 6. (a) What is the BMI mark of the bottom 20% of the distribution for this population? (b) What BMI marks the bottom 10% of the distribution for this population?

Q: Researchers conducting a study of 15 children with a diagnosis of ADHD wish to assess whether the…

A: The BMI of 15 children is given.

Q: A normally distributed population has a population mean ? = 21 and standard deviation ? = 4. What…

A: Given Information: Mean = 21 Standard Deviation = 4

Q: Results of a mathematics test are normally distributed with a mean of 60 and standard deviation of…

A: GivenMean(μ)=60standard deviation(σ)=14

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation…

A:

Q: Assume that the number of pieces per bag has a mean of 72 with a standard deviation of 1.use the…

A: We have to find given probability by using emperical rule...

Q: Approximately what percentage of students at State University have grade point averages above 3.25?…

A: Let X be the random variable of the GPA of undergraduate students at State University.Given that,

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a…

A: Consider X be a random variable which follows normal variable indicates diastolic blood pressure. It…

Q: If n=61n=61, ¯xx¯=36, and s=4s=4, construct a confidence interval at a 99% confidence level. Give…

A:

Q: Approximately what percentage of normally distributed data values will fall within 2 standard…

A: It is known that, normal curve is a symmetric and bell shaped distribution.

Q: otal cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of…

A: Z= x-μσ~N(0,1)

Q: A normally distributed population has a population mean ? = 40 and standard deviation ? = 5. What…

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

Q: The IQ scores are normally distributed with mean 110 and standard deviation 17. (a) What percent of…

A:

Q: if a distribution is normal with a population mean = 60 and population standard deviation = 15, what…

A: Let "X" be the scores that is normally distributed.

Q: Under the normal curve, approximately what percent of scores fall between -2 to -3 standard…

A: The mean and standard deviation of the standard normal distribution are 0 and 1, respectively.

Q: Suppose the scores of students on an exam are normally distributed with a mean of 454 and a standard…

A:

Q: Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean…

A:

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation…

A: Given, Mean, mu= 104 Standard deviation, sigma= 17 We know that,  Z score= (X-mu)/sigma

Q: How does one calculate the standard deviation?

A:

Q: Suppose that heights of adult men in the United states are normally distributed with a mean of 71…

A:

Q: 1. The standard deviation provides an overall measurement of how much participants' scores differ…

A: Given data: The standard deviation provides an overall measurement of how much participants' scores…

Q: 2. A child is 40 inches tall, which places her at the 90th percentile of all children of similar…

A:

Q: What is the equation for The standard deviation of the distribution of sample proportions

A: Let p be the population proportion of successes.

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A:

Q: When a distribution is bell-shaped, approximately what percentage of data values fall within 1…

A: We know that, the empirical rule which is also known as 68-95-99.7 rule.  The Empirical Rule finds…

Q: Scores on a college entrance exam are normally distributed with a mean of 500 and a standard…

A: Solution: Let X be the score on college entrance exam has normal distribution with mean μ=500 and…

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation…

A:

Q: Suppose the scores of students on an exam are normally distributed with a mean of 558 and a standard…

A:

Q: Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard…

A: From the provided information, Mean (µ) = 253 Standard deviation (σ) = 80

Q: Suppose that the score on a reading test are normally distributed within a mean of 70 and a standard…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!