QB passing record is represented by normal distribution line

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Reference no: EM132306076

A Quarterback has to throw accurately for the receiver to have a chance at catching the pass.

The reciever at right will catch the ball 100% of the time if it is thrown within 3 feet of his body centerline, which the edges of the photo represent. Edge to edge of the image is thus 6 feet. The receiver catches 0% of passes thrown beyond 3 feet of his centerline in either direction

a. If the receiver is the quarterback's customer, what are the spec limits the receiver set for the QB?

b. The QB passing record is represented by the normal distribution lines overlaying the receiver, right. This data represents over a 1000 points measured across a season in practice and game situations.

Consider the midpoint (average) = "0" feet - i.e. when the pass is "Dead-On Accurate."

The target success rate set by the coach is 99.7%. The passer's standard deviation is 1 foot.

Has the QB met process cabability. I.e. is the passer capable of meeting the coach's requirements?

How do we know (explain).

c. At the end of the season, the QB is pretty beaten up by all the previous games. Due to minor injuries he can play with, his accuracy diminishes and now his std deviation is of pass accuracy goes from 1 foot to 1.25 feet. The Receiver's condition is fine, he still can catch +/- 3 feet of his centerline.

What is the success rate, now?

Reference no: EM132306076

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