A person with "normal" blood pressure has a diastolic measurement of 76 mmHg, and a standard deviation of 4.5 mmHg. Assume the population data in this scenario is normally distributed. Standard Normal Distribution Table   a. What is the probability that a randomly selected person with "normal" blood pressure will get a diastolic result of over 80 mmHg, indicating the possibility of pre-hypertension? Mean of distribution =    Standard deviation of distribution =    z-score =    Round to two decimal places if necessary P(Diastolic BP>80)=P(Diastolic BP>80)=    Round to four decimal places if necessary b. If a patient takes his blood pressure every day for a week, what is the probability of getting an average diastolic blood pressure result of over 80 mmHg, assuming the patient has "normal" blood pressure? Mean of distribution =    Standard deviation of distribution =    Round to two decimal places if necessary z-score =    Round to two decimal places if necessary P(Average Diastolic BP>80)=P(Average Diastolic BP>80)=    Round to four decimal places if necessary

Q: What is the probability that an individual's clotting time will be less than 3 seconds or greater…

A: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds.  here X =…

Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: In a normal distribution approximately what percent of data items fall within 1Standard deviation of…

A: Data fall within one standard deviation

Q: Systolic blood pressure of males is normally distributed with a mean of 125 mm and a standard…

A: Systolic blood pressure of males is normally distributed with a mean of 125 mm and a standard…

Q: Assume that a normal distribution of data has a mean of 23 and a standard deviation of 4. Use the…

A: Answer:- Given, Mean, µ = 23  Standard deviation, σ = 4  Using formula,  According to the empirical…

Q: A normal distribution has a mean of 100 and a standard deviation of 15. What is the median for this…

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

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: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is…

A: It is given that the mean is 7.45 and standard deviation is 3.6.

Q: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is…

A:

Q: difficult exam has a normal distribution with a mean of 50 and a standard deviation of 10. Find the…

A: #  Here given that        X~Nμ,σ  and        z=x-μσ→                    1 So according to equation…

Q: Explain the key features of a normal distribution

A: Normal Distribution :  The normal distribution is also called as Gaussian distribution. It is made…

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

A: Given , Mean ( μ ) = 111 standard deviation (σ)  = 10.

Q: Head circumferences of some males have a bellshaped distribution with a mean of 57 centimeters and a…

A: Head circumferences of some males have a bellshaped distribution : Bell shaped distribution means…

Q: A normal distribution has a mean of 130 and a standard deviation of 4. Fing the z-score for a data…

A: The mean is 130 and the standard deviation is 4.

Q: Resting pulse rates for healthy adults are found to have approximately a Normal distribution with a…

A:

Q: A random variable Y has normal distribution with a mean of 80 and a standard deviation of 15.  What…

A: Mean()=80Standard deviation()=15

Q: The distribution of sample means tends to be a normal distribution. true or false?

A: This question explores the characteristics of the distribution of sample means. Specifically, it…

Q: Assume that a normal distribution of data has a mean of 18 and a standard deviation of 4 Use the…

A:

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

A:

Q: normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which…

A: Given that  X~N(μ= 80 , σ= 14 ) μ= 80 , σ= 14 Formula for Z-score Z=(X-μ)/σ

Q: What are the characteristics of a normal distribution? What two characteristics make a distribution…

A: Given that  What are the characteristics of a normal distribution?   What two characteristics make a…

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: Body temperatures of adults are normally distributed with a mean of 98.60 Fahrenheit and a standard…

A: The Z-value of a random variable X is defined as follows: Here, the mean and standard deviation of…

Q: What proportion of a normal distribution is located between the mean and z = 2.00?

A: proportion of a normal distribution is located between the mean and z = 2.00

Q: f the value of adult male cholesterol is a normal distribution with a mean of 198 and a standard…

A: The question is about normal dist. Given : Mean of cholesterol value of adult male ( μ ) = 198 Std.…

Q: Head circumferences of some males have a bellshaped distribution with a mean of 57 centimeters and a…

A: Head circumferences of some males have a bell-shaped distribution with a mean of 57 centimeters and…

Q: Yearly snow fall of a certain town follows a normal distribution with a mean of 37 inches and a…

A: Solution: Let X be the snow fall of a certain town. From given information, X follows normal…

Q: The annual per capita consumption of oranges (in pounds) in the United States  can be approximated…

A: It is given that the mean and standard deviation are 19.2 and 4, respectively.

Q: The total annual precipitation for a region is approximately normally distributed with a mean of…

A: Given information- Population mean, µ = 1050 mm Population standard deviation, σ = 400 mm Let, X be…

Q: Assume that a normal distribution of data has a mean of 24 and a standard deviation of 5.Use the…

A: Population mean μ =24 Population standard deviation =5

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!