A curve has area 0.425 to the left of 4 and area 0.585 to the right of 4. Could this curve be a density curve for some variable? Explain your answer.

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

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Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: Here, it is observed that percentage of all possible observation of the variable that lies within…

Q: A curve has area 0.425 to the left of 4 and area 0.685 to the right of 4. Could this curve be a…

A: In general, the area under the density of the curve is always equal to 1.

Q: Assume that the variable under consideration has a density curve. The area under the density curve…

A: The area under the density curve that lies to the right of 17 is 0.427.

Q: Given that 0.345 of all possible observations of the variable are less than 10, determine the area…

A: Note that the total area under the normal density curve is 1. Therefore the area under the density…

Q: Shade the corresponding region under the standard normal density curve below. 0.47 0.3- 0.2- 0.1- 9

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Q: Consider the density curve plotted below: Density Curve 0.275 0.25 -0.225 0.2 0.175 0.15 0.125 0.1…

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Q: Area right of b = Place a so that it equally divides the area to the left of b. What is the x-value…

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Q: Consider the density curve plotted below: Density Curve 0.04 0.02 Find P(X 15): Calculate the…

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Q: The percentage of all possible observations of the variable that lie between 7 and 12 equals the…

A: The percentage of all possible observations of the variable within any given specified range for a…

Q: Assume that the variable under consideration has a density curve. It is given that 29.5% of all…

A: We have to find given probability.

Q: A variable has the density curve whose equation is y = 1 for 0< x< 1, and y = 0 otherwise. a.…

A: (a)

Q: Assume that the variable under consideration has a density curve. The area under the density curve…

A:

Q: In each of Exercises, assume that the variable under consideration has a density curve. Note that…

A: a.It is given that 28.4% of all possible observations of the variable are less than 11.The…

Q: Assume that the variable under consideration has a density curve. The area under the density curve…

A: It is given that the The area under the density curve lies to the right of 11 is 0.344.  This…

Q: e the corresponding region under the standard normal density curve below.

A: Here find corresponding z score for both values

Q: What is a density curve?

A: Density Curve:If smooth curve identifies the shape of the distribution for a variable then it is…

Q: Consider the density curve plotted below: Density Curve 10 4 0.04 0.08 0.12 0.16 X Find P(X 0.12):…

A: For a continuous probability distribution, the probability in an interval is equals to the area…

Q: Explain in your own words why a density curve has the two properties.

A: The density curve is nothing but the graph that shows the probability values. The area under the…

Q: For a variable with a density curve, what is the relationship between the percentage of all possible…

A: For a variable with density curve, the percentage of all possible observations of the variable that…

Q: In each of Exercises, assume that the variable under consideration has a density curve. Note that…

A: GivenThe area under the density curve that lies to the right of 15 is 0.324Percentage of…

Q: Consider the density curve plotted below: Density Curve 20 16

A: Given, The density curve is given, The equation of line is y = mx put the point (x,y) = (0.02, 4) in…

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: The area under the density curve that lies to the left of 10 is 0.654. a) The required percentage is…

Q: The area beneath the normal density curve is separated into three regions by the values a and b. Set…

A: Let X be the variable having a normal distribution with mean 6.3 and standard deviation 0.8. Then,…

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: The percentage of all possible observation of the variable that lies within any specified range…

Q: Which of the following is NOT a requirement for a density curve? Choose the correct answer below. O…

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

Q: A curve has area 0.613 to the left of 65 and area 0.287 to the right of 65. Could this curve be a…

A: The area to the left of 65 = 0.613 The area to the right of 65 = 0.287 Total area = 0.613 + 0.287 =…

Q: A variable has the density curve whose equation is y = 2x for 0< x 1, and y = 0 otherwise. a.…

A: Note: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we…

Q: Consider the density curve plotted below: Density Curve 0.5 0.4 0.3 0.2 0.1 0,8 1.6 2.4 3,2 4 X…

A: Given density curve

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: a. Here, it is observed that the percentage of all possible observation of the variable that lies…

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: Here, it is observed that the percentage of all possible observation of the variable that lies…

Q: Consider a uniform density curve defined from x = 0 to x = 4. What percent of observations fall…

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Q: The percentage of all possible observations of a variable that lie between 25 and 50 equals the area…

A: The percentage of all possible observation of the variable that lies within any specified range is…

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: The percentage of all possible observation of the variable that lies within any specified range is…

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A:

Q: Assume that the variable under consideration has a density curve. Note that the answers required…

A: The percentage of all possible observation of the variable that lies within any specified range is…

Q: For this density curve, what percent of the observations lie between 1.25 and 1.75?

A: First we have to find the probability density function based on given density curve. Note : Since…

Q: A care antenna is four meters long (starting at x = 0) and has a density of p(x) = Vr+e². %3D

A: Given data:   The expression for the density of the antenna is ρ(x)=x1/2+e-x. The given length of…

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: Introduction: Denote the random variable as X.

Q: Given that 33.6% of all possible observations of the variable exceed 8, determine the area under the…

A: It has been given that P[X>8]=0.336. a.)The area under the density curve that lies to the right…

Q: the following proposed density (a) What must be the value of the point on the vertical axis labeled…

A: a) The value of the point on the vertical axis or any point on a curve would be zero, as the…

Q: The area under the density curve that lies to the right of 15 is 0.324. What percentage of all…

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Q: Consider the density curve plotted below: Density Curve 0.25- 0.2- 80.15 0.1- 0.05- 1.6 3.2 4.8 6.4…

A: Given, The probability distribution is, x p(x)  1.6 0.05  3.2 0.1  4.8 0.15  6.4 0.20…

Q: The area under a density curve that lies to the left of 60 is 0.364. What percentage of all possible…

A: It is given that the area under a density curve that lies to the left of 60 is 0.364.

Q: Assume that the variable under consideration has a density curve. The area under the density curve…

A:

Q: The total area under the probability of density function is always а. not above b. O>p>1 С. 1 d. 0

A:

Q: In each of Exercises, assume that the variable under consideration has a density curve. Note that…

A: a)Here, it is observed that the percentage of all possible observation of the variable that lies…

Q: Shade the corresponding region under the standard normal density curve below.

A: Let X denote the normally distributed random variable with mean = -1 and SD = 2

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!