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Chapter 6: Q. 6.10 (page 377)

Use the information in Example 6.10 to answer the following questions.

  1. Find the 30thpercentile, and interpret it in a complete sentence.
  2. What is the probability that the age of a randomly selected smartphone user in the range 13to 55+is less than 27years old.

Short Answer

Expert verified
  1. The 30thpercentile is 29.61. This percentile value shows that the 30%of the total smart phones users of age 13to 55+years are almost age of 29.61
  2. The probability that the age of a randomly selected smartphone user in the range 13to 55+ is less than 27 years old is0.2382

Step by step solution

01

Given Information (Part a)

From the information given in the question, we obtain that X~N(36.9,13.9).

Where,

渭=36.9

蟽=13.9

02

Explanation (Part a)

We can compute the 30thpercentile as follow:

P(x<k)=0.30

Px鈭�渭蟽<k鈭�渭蟽=0.30

PZ<k鈭�36.913.9=0.30

k鈭�36.913.9=鈭�0.5244From standardnormal table

k鈭�36.9=鈭�0.5244脳13.9

k=鈭�7.28916+36.9

k鈮�29.61

03

Given Information (Part b)

The age of a randomly selected smartphone user in the range 13to 55+is less than27 years old.

04

Explanation (Part b)

We can compute the required probability as follow:

P(x<27)=Px鈭�渭蟽<27鈭�渭蟽

=PZ<27鈭�36.913.9

=P(Z<鈭�0.7122)

=0.2382From standardnormal table

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Most popular questions from this chapter

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