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Chapter 6: 5 (page 385)

齿词狈(鈥�4,1)

What is the median?

Short Answer

Expert verified

It is comprehended that the value of the mean, median, and mode are equal to each other when the distribution is normal. Since the value of u is (-4), hence the value of the median will also be (-4)

Step by step solution

01

Given Information

齿词狈(鈥�4,1) What is the median

02

Step 2: Explanation

It is shared that,

X ~N(-4,1)

Compare the above random variable X from the general random variable for normal distribution, which is shared as below:

X~N(渭,蟽)

Hence, on approximating the above general expression to the provided term, it is clear that the value of渭is (-4).

It is comprehended that the value of the mean, median, and mode are equal to each other when the distribution is normal. Since the value of 渭is (-4), hence the value of the median will also be (-4)

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Most popular questions from this chapter

齿词狈(鈥�4,1)

What is the median?

In a normal distribution, x = 6 and z = 鈥�1.7. This tells you that x = 6 is ____ standard deviations to the ____ (right or left) of the mean.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

a. If X=distance in feet is for a fly ball, then X~

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis XShade the region corresponding to the probability. Find the probability.

c. Find the 80ithpercentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

A The distance of fly balls hit to the outfield in baseball is denoted as: N~N(250,50)

B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by P(x<220)=0.2743

X~N(鈥�3,4)

Find the probability that x is between one and four.

Terri Vogel, an amateur motorcycle racer, averages 129.71seconds per 2.5mile lap (in a seven-lap race) with a standard deviation of 2.28seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps.

a. In words, define the random variable X.

b. X~,

c. Find the percent of her laps that are completed in less than 130seconds.

d. The fastest 3%of her laps are under

e. The middle 80%of her laps are from seconds to seconds.
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