Find the area of the shaded region for each standard n

Q: "Given a standard normal distribution with mean =115 and standard deviation = 25, find P(86 <X <…

A: GivenMean(μ)=115standard deviation(σ)=25

Q: For a normal distribution find the z score that cut offs the top 68.31% area. Round to 2 decimal

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Q: Find the area, to the nearest thousandth, of the indicated region of the standard normal…

A: The given region is, z&lt;2.98 Using the standard normal table to find the area of the indicated…

Q: Find P (x &gt; 3.24) for a standard normal distribution.

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: For a standard normal distribution, find: P(-0.93 < z < 1.67)

A: From the provided information, P (-0.93 &lt; z &lt; 1.67)

Q: Find the area of the indicated region under the standard normal curve. + -1.13 0 2.03

A: Solution: 3 From the given information, the z-scores are –1.13 and 2.03.

Q: "Given a standard normal distribution with mean =99 and standard deviation = 45, find P(X<110)."…

A: Given information- Population mean, µ = 99 Population standard deviation, σ = 45 Let, X be the…

Q: For a standard normal distribution, find: P(z > c) = 0.1331 Find c rounded to two decimal plàces.

A: Given: Pz&gt;c=0.1331 Required: To find the value of c.…

Q: For a standard normal distribution, find: P(z < c) = 0.673 %3D Find c rounded to two decimal places.

A: It is given that p(z&lt;c) = 0.673.

Q: Find the area of the shaded region for each standard normal curve. a) Q (b) (c) -0.78 0.64 -1.39…

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Q: In the standard normal distribution, find the total area between z= -0.53 and z= 1.23

A: Obtain the probability that a standard normal distribution for the area that lies between –0.53 and…

Q: For a standard normal distribution, find: P(z < c) = 0.2377 Find c.

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Q: Under the standard normal curve, find the area of the region to the left of z = 1.50

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Q: For a standard normal distribution, find: P(-1.97 < z< 1.98)

A: We have to find given z score area.   Here we use z table for finding z score values...

Q: Given a normal distribution with μ = 40 and σ = 6, find the value of x that has (a) 45% of the area…

A: It is been asked to find the value of x that has 45% of the area to the left and 14% of the area to…

Q: ind the area, to the nearest thousandth, of the standard normal distribution between the given…

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Q: Find the area under the standard normal curve that lies between the specified z-scores, sketch a…

A: Area under the standard normal curve that lies lies between -1 and 1(z-scores) i.e. P(-1&lt;z&lt;1)…

Q: For a standard normal distribution, find: P(z > c) = 0.9929 %3D Find c rounded to two decimal…

A: GivenP(z&gt;c)=0.9929

Q: Find the area of the indicated region under the standard normal curve. -1.30 0

A: P(Z&gt;-1.30)=?

Q: In the normal distribution below, μμ = 75, σσ = 50, and the shaded area equals 0.61. Determine the…

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Q: z = 1.91

A: ANS =  Find the area of the shaded region under the standard normal curve?

Q: Find the area under the standard normal distribution:    between 1.37 and 2.63

A: Given :-   z=1.37 z=2.63   we have to calculate the are between z=1.37 to z=2.63

Q: For a standard normal distribution, find: P(-0.94 z<-0.65) Question Help: Video 1 D Video 2 Submit…

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Q: Determine the area under the standard normal curve that lies between 1.11 and 2.75.

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Q: "Given a standard normal distribution with mean =61 and standard deviation = 48, find P(X>74)."…

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Q: Determine the area under the standard normal curve that lies to the left of a. 2.24. b. −1.56.

A: Area to the left of a can be witten in probability form as P(Z &lt; a)

Q: Find the standard normal distribution, find:  P(z&lt;c)=0.125

A: Use the Excel formula, to find the indicated value of c as follows: Hence, the required indicated…

Q: Use a standard normal table and find the area that lies to the left of 1.13.

A: We want to find the standard normal table and find the area that lies to the left of 1.13.

Q: Given a standard normal distribution, find the area of the curve between z= -1.97 and z=0.86

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

Q: In each part, find the area under the standard normal curve that lies between the specified…

A: a. The area under the standard normal curve is between –1 and 1. The area under the standard normal…

Q: a. Sketch a standard normal curve and shade the area under the curve that lies between - 2.09 and…

A: Solution: We have to find area which lies between two z-scores. a) P(-2.09 &lt; Z&lt; 1.33) = ..?…

Q: For a standard normal distribution, find: P(-1.36 < z < 0.42)

A: X~N( 0 , 1 )    μ =  0   , ? = 1   Z-score =( x - μ )/?

Q: In a standard normal curve, find the area from -2.64 to 2.64.

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Q: Determine the area under the standard normal curve that lies between  a) 1.48 and 2.72 b)-5.1 and…

A: we have to find  given  area..

Q: Sketch a standard normal curve and shade the area that lies between a. -2.13 and 1.36, b. - 3 and -…

A: Solution

Q: Evaluate the area under the normal curve between two z-scores, -1.12 and  1.14.

A: Let Z be the random variable from normal distribution the  we will find the area under normal curve…

Q: In each part, find the area under the standard normal curve that lies between the specied z-scores,…

A: a)The area under the standard normal curve that lies between –1 and 1 represents the area to the…

Q: For a standard normal distribution, find: P(z < c) = 0.0308 Find c rounded to two decimal places.…

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: Find the number z such that the proportion of observations that are less than z in a standard Normal…

A: To determine the real number z such that the probability  P(X&lt;z) = 0.5, where X is the random…

Q: For a standard normal distribution, find: P(z > c) = 0.5053 Find c.

A: Standard Normal Distribution: A continuous random variable Z is said to follow Standard Normal…

Q: Under the standard normal curve, the area above the mean is

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Q: For a standard normal distribution, find: P(-2.97 < z < -0.69)

A: We have given the standard normal distribution. We have to find- P (-2.97 &lt; z &lt; -0.69)

Q: Which proportion of a normal distribution is located bwteen z = --1.75 and z = +1.75?

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Q: For a standard normal distribution, find:P(z &lt; -2.1)Normal Calculator

A: From the standard normal table, the probability value corresponding with below -2.1 is 0.0179.

Q: "Given a standard normal distribution with mean =134 and standard deviation 38, find P(X>103)." A)…

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Q: In standard normal distribution, the area to the left of z = 1.02 is: a. .8461 b. .1539 c. .3849 d.…

A: We use Standard normal z table to calculate the area to the left of z=1.02. To be calculate :…

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

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Q: Find the area of the indicated region under the standard normal curve. -1.13 0 2.03

A: The normal distribution is converted to the standard normal curve if we substitute μ=0 and σ=1 for…

Q: sketch a standard normal curve and shade the area of interest for each problem: 1. Find the area…

A: Solution: 1. The given z-score is –1.07.

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

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.