USE TABLE A TO ANSWER QUESTIONS 1, 2, 3, and 4 BELOW. 1. Use Table A to find the PROPORTION of observations from a STANDARD NORMAL DISTRIBUTION that satisfy -2.46

Q: A vertical line is drawn through a normal distribution at z = 1.20. What proportion of the…

A: It is given that the z score is 1.20.

Q: Sketch a standard normal curve and shade the area that lies to the right of a. - 1.02, b. 0.6, c. 0,…

A:

Q: A vertical line drawn through a normal distribution at z = -0.50 separates the distribution into two…

A: Suppose a vertical line drawn through a normal distribution at , separates the distribution into two…

Q: Given µ=70.5 and σ=4.6 of normal distribution, find a. ?(65 80) d. ?(? < 65)

A: According to the provided information, Mean (μ) = 70.5 Standard Deviation (σ) = 4.6

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

A: From the provided information, Mean (µ) = 40 Standard deviation (σ) = 10 X = 55

Q: Sketch a standard normal curve and shade the area that lies to the right of a. - 1.03, b. 0.6, c. 0,…

A:

Q: In the accompanying graph of a normal distribution, each of the two red areas represents one-sixth…

A: (A)   Determine the value of mean.   The value of mean is determined below as follows:   From the…

Q: Sketch the normal distribution with a. µ = 3 and σ = 3.b. µ = 1 and σ = 3.c. µ = 3 and σ = 1.

A: a.The normal distribution with  is,

Q: The variable Z has a standard Normal distribution. Find the value z such that 85% of the…

A: We have to find the value z such that 85% of the observations fall below z i.e we have to find z…

Q: A vertical line is drawn through a normal distribution at z = -1.20. Which proportion of the…

A: The vertical line represents z=-1.20. Shade the area under the normal curve to the right of z=-1.20.…

Q: For the standard normal curve, find the z-score that coresponds to the 7" decile. Click to view page…

A: 7th decile is the value such that 70% of the values are less than or equal to this value.

Q: Sketch a standard normal curve and shade the area that lies to the left of a. 2.19, b. -1.63, c. 0,…

A: a)Givenleft of 2.19

Q: 1. Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and…

A: Given Graph, We have to find z.

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: Obtain the 7th percentile of the distribution.   The 7thpercentile of the distribution is obtained…

Q: Let x have a normal distribution with a mean of 30 and a standard deviation of 7. The z value for x…

A: The formula of the Z-score is,Where, X denotes the raw data point,µ denotes the population mean,σ…

Q: In a normal distribution with the mean = 8 minutes and variance = 9. Find the value of m value where…

A: Solution

Q: In a certain normal distribution, find the standard deviation e when p 50 and 10.56 % of the area…

A:

Q: Sketch the normal distribution with a. μ = 3 and σ = 3. b. μ = 1 and σ = 3. c. μ = 3 and σ = 1.

A:

Q: Which of the following are properties of the normal curve? Select all that apply. LA. The area under…

A:

Q: What proportion of a normal distribution is located between the mean and z = 1.40? a.…

A: P(0&lt;z&lt;1.40)=?

Q: Show that Quartile deviation of normal distribution is approximately 3

A:

Q: Find the proportion of Normally distributed observations with a z-score above 0.80. Give your answer…

A: Given: It is given the distribution is normally distributed, z=x-μσ z~N0,1

Q: The mean and standarad deviation of a standard normal distribution is a. 1 and 0 respectively b. 0…

A: Standard normal distribution: The standard normal distribution is a normal distribution of…

Q: Sketch the normal distribution with a. μ = −2 and σ = 2. b. μ = −2 and σ = 1/2. c. μ = 0 and σ = 2.

A: a. Sketch for the normal distribution with mean –2 and standard deviation 2 is as follows:

Q: Scores on the SAT form a normal distribution with a mean of µ = 500 with σ = 100. If the state…

A:

Q: A vertical line is drawn through a normal distribution at z = 1.20. What proportion of the…

A: Given that,To find the probability using Normal distribution.

Q: The mean July daily rainfall in Waterville is 10mm and the standard deviation is 1.5mm. Assume that…

A: Let, X = Amount of rainfall in July. Given that the data is normally distributed with mean 10mm and…

Q: Sketch the normal distribution with a. µ = -2 and σ = 2.b. µ = -2 and σ = 1/2.c. µ = 0 and σ = 2.

A: (a)Sketch the normal distribution having the mean is –2 and standard deviation is 2 is as follows:

Q: A normal distribution has mean 62.1 and standard deviation 2.42. Find the data value corresponding…

A: According to the given information, we have Mean = 62.1 Standard deviation = 2.42 Z-score = -1.33

Q: Build the frequency distribution table with 5 classes, and for the following observations for some…

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

Q: A vertical line drawn through a normal distribution at z = –1.00

A: Given that, A vertical line drawn through a normal distribution at z = –1.00.

Q: The standard normal curve shown below models the population distribution of a random variable. What…

A: From the provided information, The z values are -1.25 and z = 0.80

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!