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Chapter 5: Q. 73 (page 352)

For each probability and percentile problem, draw the picture.

When age is rounded to the nearest year, do the data stay continuous, or do they become discrete? Why?

Short Answer

Expert verified

The data remains continuous because it cannot be approximated.

Step by step solution

01

Definition of probability and Percentile in Age 

Percentile and probability are the key components of statistical problems that are used in the interpretation of data. Age is also a type of data that requires the calculation of probability and percentile for gaining an understanding of people's life duration and various other aspects related to it. These calculations are used broadly in everyday life to calculate values for test score or indicates various health-related factors.

02

Calculation and Justification

Percentiles can be calculated using the formula n=(P/100)xN

Therefore, if the age is rounded to the year that is near to the age then the approximate value of it cannot be calculated. Thus, the data that are calculated from the equation remains continuous in nature.

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Most popular questions from this chapter

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as X~U(1.5,4.5).

Find the probability that a randomly selected home has more than 3,000square feet given that you already know the house has more than 2,000square feet.

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a. X ~ _________

b. Graph the probability distribution.

c. f(x) = _________

d. 矛 = _________

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g. P(2 < x < 31) = _________

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On average, a pair of running shoes can last 18 months if used every day. The length of time running shoes last is exponentially distributed. What is the probability that a pair of running shoes last more than 15 months? On average, how long would six pairs of running shoes last if they are used one after the other? Eighty percent of running shoes last at most how long if used every day?
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