Assume the random variable X is normally distributed with meanμ=50and standard deviationσ=7.Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>39) LOADING...Click the icon to view a table of areas under the normal curve.Which of the following normal curves corresponds toP(X>39)? A. 3950 A normal curve has a horizontal axis with two labeled coordinates, 39 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 39 and 50. The area under the curve to the left of the left vertical line segment is shaded. B. 3950 A normal curve has a horizontal axis with two labeled coordinates, 39 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 39 and 50. The area under the curve to the right of the left vertical line segment is shaded. C. 3950 A normal curve has a horizontal axis with two labeled coordinates, 39 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 39 and 50. The area under the curve between the vertical line segments is shaded. P(X>39)=nothing(Round to four decimal places as needed.)

It is given that the mean is 50 and standard deviation is 7.

Answered: ssume the random variable X is normally…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume the random variable X is normally distributed with mean

μ=50

and standard deviation

σ=7.

Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(X>39)

Click the icon to view a table of areas under the normal curve.

Which of the following normal curves corresponds to

P(X>39)?

A normal curve has a horizontal axis with two labeled coordinates, 39 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 39 and 50. The area under the curve to the left of the left vertical line segment is shaded.

P(X>39)=nothing

(Round to four decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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