2. What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table to help answer the question. 4 -3 -2 -1 1 23 42

Q: 1.Consider this graph of a standard normal curve.       What percentage of data is represented by…

A: For the given graph, Need to find the percentage of data is represented by the shaded area.

Q: Identify if its true or false  For any normal distribution, the area above the mean is 0.5 or 50%

A:

Q: What percent of the total population is found between the mean and the z-score given? (Use the…

A: Given that  Z follows standard normal distribution  Z~Normal(mean=0,standard deviation=1) Z=3.21…

Q: Use a table of cumulative areas under the normal curve to find the z score that corresponds to the…

A: The cumulative area is 0.053.

Q: Find the​ z-score such that the area under the standard normal curve to the left is 0.88. Question…

A: From the provided information, The area of z score under the standard normal curve to the left is…

Q: What is the total area under the normal​ curve?   -it depends on the standard deviation? or 0.5 or…

A: Normal​ curve: It is the bell-shaped curve. Normal curve is symmetric about mean.  For the normal…

Q: The total area under the normal distribution curve is equal to 0.95 O True O False

A: The statement given is false.

Q: For a standard normal distribution, find: P(z > c) = 0.1116 Find c rounded to two decimal places.

A: Given that  P(z>c)=0.1116 Z-score =(x-mu)/sigma

Q: When finding the percentage of data in a given section of the normal curve, you are finding the…

A: here use basic of normal distribution

Q: Assume a normal distribution. What is p(0 < z < +1.75)?

A: It was stated to assume the population is normally distributed. Need to find the P0&lt;Z&lt;1.75 By…

Q: The spread of the normal curve depends upon the value of O a. Mean deviation Ob. Median C. Standard…

A: Spread of the Normal curve depends on the Standard deviation.

Q: Find the proportion under the areas under the normal curve below 0.3σ

A: Suppose, X is normal distribution with mean µ and variance σ2 . So, X ~ N(µ, σ2) Hence, Z = X - µσ ~…

Q: What is the area under the 1 point normal curve? * 0.25 0.5 0 75

A: Note: “Since you have asked multiple question, we will solve the first question for you. If you want…

Q: For a standard normal distribution, find: P(z > 1) = _____ % answer as a whole number.

A: From the provided information, The required area is to the right of normal curve.

Q: What percent of the total population is found between the mean and the z-score given? (Use the…

A: Standard normal distribution is bell shaped curve with mean 0 and standard deviation 1. The z-score…

Q: (a) What are the percentage of data points less than z = 0 0.73in a standard normal distribution?…

A: (a)   Determine the percentage of the data points less than Z equals 0.73 in a standard normal…

Q: Use Table A to find the value ?z of a standard Normal variable that satisfies each of the following…

A:

Q: Using a Standard Normal Distribution, what z-score has an area of .892 ?

A: Given, Area = 0.892 P(Z &lt; z) = 0.892 critical value P(Z &lt;1.24) = 0.8925 Ans is z score = 1.237

Q: Using the standard normal distribution table, what is the percent of the total area between Z= 0.75…

A: Here we need to find the area between Z=0.75 and Z=1.5, where Z~ N(0,1).

Q: standard normal distribution, find: P(-0.68 < z < 1.52)

A: Given that Standard normal distribution.  P(-0.68 &lt; z &lt; 1.52)   We know that Total area under…

Q: Look up the z-score of 2.53 on the Standard Normal Table.  What is the area below that is listed?

A:

Q: Assume a normal distribution. What is p(z > +1 .75)?

A: Z follows standard normal distribution with mean 0 and variance 1

Q: Click here to view page 1 of the table of areas under the standard normal curve. Click here to view…

A: Total number of people = 1023 Total number of who disapprove = 562

Q: What percent of the total population is found between the mean and the z-score given? (Use the…

A: We have find z score..

Q: Determine the area and construct the normal curve of the following.  1. Area below z = 2 2. Area…

A: Determine the area and construct the normal curve of the following.    1. Area below z = 2   2. Area…

Q: ind the​ Z-scores that separate the middle 33​% of the distribution from the area in the tails of…

A: In this case, the mean is 0 and the standard deviation is 1.

Q: Explain the similarities and differences between a standard normal distribution and a t…

A: Similarity between t distribution and standard normal distribution: The shape of the both…

Q: property of the standard normal curve? a. The total area under the curve is 1 b. The mean is not…

A:

Q: Find the z-scores that separate the middle 44% of the distribution from the area in the tails of the…

A: To find the z-scores that separates the middle 44% of the distribution from the area in the tails of…

Q: Use Table A to find the value ?z of a standard Normal variable that satisfies each of the following…

A: a) The mean and standard deviation of the standard normal distribution are 0 and 1.

Q: 1. What is another term used for standard normal score? a. mean score c. x score b. t-score d.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 1. What is another term used for standard normal score? a. mean score c. x score b. t-score d.…

A: A standard score is defined as a number that may be used to compare scores from various…

Q: What is the standard deviation of the standard normal distribution? 0 1 O No answer text provided.

A: We know that If X be a random variable and follows standard normal distribution i.e. X~N(0,1). It…

Q: Without consulting a table or a calculator giving areas under the standard normal curve, determine…

A:

Q: Find the proportion of observations from the standard Normal distribution that are: a) P(Z<-0.12) =…

A: The required proportion can be obtained by using the standard normal table. a)…

Q: Find the z-scores that separate the middle 82% of the distribution from the area in the tails of the…

A: Formula for z-score is: z-score =x-μσ

Q: What percent of the total population is found between the mean and the z-score given? (Use the…

A: Given Z=3.32 What percent of the total population is found between the mean and the z-score given?

Q: Find ?z such that 38%38% of all observations from a standard normal distribution are greater than…

A:

Q: Find the​ z-scores that separate the middle 48​%of the distribution from the area in the tails of…

A: Computation of probability of the area above and below the 48% of the distribution from the…

Q: Find ? such that the proportion of observations that are less than ? in a standard normal…

A: z-left tailed value:The area left to the particular point in the standard normal distribution is…

Q: Sketch the graph that has an area of 0.77 under the standard normal curve and to the right of the…

A: Sketch the normal curve and shade the area of 0.77 to the right of z.

Q: 4. What is the total area under the curve for the normal distribution? 4. What do you call the graph…

A: Normal distribution  f(x) is said to be normal distribution and which mean=μ, standard deviations=σ…

Q: For a standard normal distribution, find: P(z < c) = 0.1225 Find c rounded to two decimal places.

A:

Q: What percent of the total population is found between the mean and the z-score given? (Use the…

A:

Q: Use a table of areas for the standard normal curve to find the z-score having area 0.09 to its left…

A: The standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: Find the percentage of the total area under the standard normal curve between the following…

A: Given that : Z = 1.42    and  z = 2.82 Here we use standard normal distribution.

Q: In a standard normal distribution, how would you find the area to the right of any given value "x"?

A: Let us consider the, Z is a standard normal distribution i.e. Z~ N(0,1) In the given problem, it is…

Q: Find the proportion under the  standard normal curve to the right of z=1.34 (nearest ten thousandth)

A: The formula to calculate probability is,

Q: Find the area of the shaded region under the standard normal curve: -1.33 0 Area of the shaded…

A:

Q: The area under a curve is 1.2. Is this a normal distribution? Provide a short explanation for your…

A: We know that the In probability distribution theory, the area is nothing but the probability value…

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!