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1)The breaking strength of a certain brand of steel cable is normally distributed with a mean =2500poundsand a standard deviation =250pounds. If a construction company

1)The breaking strength of a certain brand of steel cable is normally distributed with a mean =2500poundsand a standard deviation =250pounds.

If a construction company buys 100 cables, what is the probability that they will have a mean breaking strength of at least 2,300 pounds?

Please show work

2)The breaking strength of a certain brand of steel cable is normally distributed with a mean =2500poundsand a standard deviation =250pounds.

What is the probability that if one random steel cable is selected from this population of steel cables that it will be greater than 2,300 pounds?

Please show work

3) Find the z-score for an IQ test score of 142 when the mean is 100 and the standard deviation is 15.

Please show work

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