Number of Cars Sold over 10
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Car Prices
A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to s
over the next
4
10 years.
How would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars priced from $45,000 to
$50,000 and projects sales of 200 cars in each category?
O.A.
The distribution will exhibit symmetry.
B.
The distribution will exhibit a positive skew.
C.
The distribution will exhibit a negative skew.
D.
The distribution will be uniform throughout.
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Q Search
I am trying to figure out what the distribution will exhibit as far as symmetry positive skew ect.

Respuesta :

Answer: B. The distribution will exhibit a positive skew.

Step-by-step explanation:

If the salesman decides to also deal in cars priced under $5,000 and in cars priced from $45,000 to $50,000, each projected to sell 200 cars, it would add additional sales at the lower and higher ends of the price spectrum.

Adding 200 cars each in the lower and higher price categories would likely make the distribution exhibit a positive skew. This is because the additional sales at the higher end (priced from $45,000 to $50,000) would extend the right tail of the distribution, causing it to skew towards the higher prices. Meanwhile, the additional sales at the lower end (under $5,000) would also contribute to the positive skew by slightly extending the left tail, although to a lesser extent.

Therefore, the answer is:

B. The distribution will exhibit a positive skew.