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Snezhnost
3 months ago
12

Statisticians for a roadside assistance company interviewed 50,000 randomly selected United States (US) households. Of those, 15

,595 reported that they had traveled 50 or more miles from home between December 23 and January 4. If there are 115,000,000 US households, approximately how many of them do the interviews suggest traveled 50 or more miles from home at that time?
Mathematics
1 answer:
lawyer [12.5K]3 months ago
8 0

Answer:

35,868,500 people

Step-by-step explanation:

To calculate how many individuals traveled more than 50 miles, we need the probability. Here n=50000 and p=15595:

P(X\geq 50)=\frac{15595}{50000}\\\\=0.3119

The total population of the US is 115000000. We find the proportion of the population that traveled over 50 miles:

E(X)=np, N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\\\=35868500

Thus, it can be concluded that approximately 35,868,500 individuals traveled more than 50 miles.

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