Answer:
a) 2.5% b) 50%
Step-by-step explanation:
1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.
The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.
The equation is(√7)^6x = 49x - 6
This equation can be solved by iteration.
Rearranging:
x = ( (√7)^6x + 6 )/49
We start with a value of x = 3.
This value can be substituted to the right side and new value of x can be obtained. This new value can be substituted again to the right side of the equation and another new value for x is obtained. This process is repeated until the old and new values of x are the same.
The result is,x = 0.5
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