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Chapter 6: Q. 1 (page 286)

What is a density curve, and why are such curves important?

Short Answer

Expert verified

The total probability under the density curve is equal to unity,

The probability distribution of body weights is depicted by the density curve above.

Step by step solution

01

Given Information 

The meaning of density curve and to give its importance.

02

Explanation 

Think about the density curve.

The probability is represented graphically by the density curve. Density curves come in a variety of shapes and sizes.

They don't have to be symmetrical.

In theory, it depicts the probability distribution of a continuous variable.

As a result, the probability curve is smooth. It can, however, be used to calculate the probability distribution of discrete variables.

The area beneath the density curve represents 100% of all probability.

As a result, the overall probability under the density curve is one.

The probability distribution of body weights is depicted by the density curve above .

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Most popular questions from this chapter

Briefly, for a normally distributed variable, how do you obtain the percentage of all possible observations that lie within a specified range?

Without consulting Table II, explain why the area under the standard normal curve that lies to the right of 0 is 0.5.

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Female College Students. Refer to Example 6.3 on page 256 .

a. The area under the normal curve with parameters 渭=64.4and蟽=2.4that lies to the left of 61is0.0783. Use this information to estimate the percentage of female students who are shorter than 61inches.

b. Use the relative-frequency distribution in Table 6.1 to obtain the actual percentage of female students who are shorter than 61 inches.

c. Compare your answers from parts (a) and (b).

Verbal GRE Scores. Refer to Problem 28, and fill in the following blanks.

a. Approximately 68%of students who took the verbal portion of the GRE scored between_______and________

b. Approximately 95%of students who took the verbal portion of the GRE scored between_______and________

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