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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

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

Considering only the cars less than 7.5 years old, find the probability that a randomly chosen car in the lot was less than four years old.

a. Sketch the graph, shade the area of interest.

b. Find the probabilityP(x<4x<7.5)=

A customer service representative must spend different

amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be

modelled by the following distribution:X~Exp(0.2)

Find P(2<x<10).

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).

What is P(2<x<3)?

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.

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

a. Graph the probability distribution

b. Identify the following values:

i. Lowest value forx¯=

ii. Highest value for localid="1648215651207" x¯=

iii. Height of the rectangle:

iv. Label for x-axis (words):

v. Label for y-axis (words):
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