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statisticians for a roadside assistance company interviewed 50{,}00050,00050, comma, 000 randomly selected United States (US) households. Of those, 15{,}59515,59515, comma, 595 reported that they had traveled 505050 or more miles from home between December 232323 and January 444. If there are 115{,}000{,}000115,000,000115, comma, 000, comma, 000 US households, approximately how many of them do the interviews suggest traveled 505050 or more miles from home at that time

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Answer:

The answer is "35,868,500 people".  

Step-by-step explanation:

In this question, the chance of people that have traveled above 50 miles is calculated. The chance of success is the probability.

[tex]n=50000\\\\ p=15595[/tex]

[tex]\to P(x\geq 50)=\frac{15595}{50000}=0.3119[/tex]

The population of the United States is at 1150000.

Let's determine that portion of the current population has gone more than 50 miles:

[tex]\to E(X)=np,N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\=35868500[/tex]

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