On average, Upstate Chevrolet sells 20 cars each week, with a standard deviation of 2.

How many cars sold represents 2 standard deviations above the mean?

How many cars sold represents 1 standard deviation below the mean?

Approximately 68% will fall between __ and __

Approximately 99.7% will fall between __ and __

What is the probability that the car lot will sell at least 18 cars? __%

What is the probability that a car lot will sell at most 26 cars?__%

Answer:

first question is 10 other question it doesn't sound right to me

The answers to the blanks are as follows:

1) 18 and 22

2) 14 and 26

3) 84%

4) 99.85%

'The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.'

According to the given problem,

Number of cars sold each week = 20

Standard deviation = 2

= 20 + (2*2)

= 18

68% : 18 and 22

99.7% : 14 and 26

P( x ≥ 18 ) = 50% + [tex]\frac{0.68}{2}[/tex]

                = 84%

P( x ≤ 26 ) = 1 - [tex]\frac{(1 - 0.99)}{2}[/tex]

                 = 99.85%

Hence, we can conclude that 68% will fall between 18 and 22 and 99.7% will fall between 14 and 26. We also concluded that the car lot will sell at least 18 cars is 84% and that they will sell at least 26 cars is 99.85%.

Learn more about statistics and standard deviation here: https://brainly.com/question/13142606

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