Question

Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.3 millimeters and standard deviation 0.08 millimeters. (a) What proportion of the diameters are less than 24.2 millimeters? (b) What proportion of the diameters are greater than 24.5 millimeters? (c) To meet a certain specification, a ball bearing must have a diameter between 24 and 24.5 millimeters. What proportion of the ball bearings meet the specification? Round the answers to at least four decimal places.

Answer #1

Proportion

A process manufactures ball bearings with diameters that are
normally distributed with mean 25.1 millimeters and standard
deviation 0.08 millimeter.
(a) What proportion of the diameters are less than 25.0
millimeters?
(b) What proportions of the diameters are greater than 25.4?
(c) To meet a certain specification, a ball bearing must have a
diameter between 25.0 and 25.3 millimeters. What proportions of the
ball bearings meet specification?
(d) Find the 95th percentile of the diameters.

The diameters of ball bearings are distributed normally. The
mean diameter is 125 millimeters and the standard deviation is 3
millimeters. Find the probability that the diameter of a selected
bearing is greater than 127 millimeters. Round your answer to four
decimal places.

The diameters of ball bearings are distributed normally. The
mean diameter is 106 millimeters and the standard deviation is 4
millimeters. Find the probability that the diameter of a selected
bearing is greater than 111 millimeters. Round your answer to four
decimal places

The diameters of ball bearings are distributed normally. The
mean diameter is 120120 millimeters and the standard deviation is
44 millimeters. Find the probability that the diameter of a
selected bearing is greater than 125125 millimeters. Round your
answer to four decimal places.

The diameters of ball bearings are distributed normally. The
mean diameter is 120 millimeters and the standard deviation is 4
millimeters. Find the probability that the diameter of a selected
bearing is greater than 125 millimeters. Round your answer to four
decimal places.

The diameters of ball bearings are distributed normally. The
mean diameter is 96 millimeters and the standard deviation is 6
millimeters.
Find the probability that the diameter of a selected bearing is
between 89 and 105 millimeters. Round your answer to four decimal
places.

The diameters of ball bearings are distributed normally. The
mean diameter is 89 millimeters and the variance is 9. Find the
probability that the diameter of a selected bearing is between 83
and 91 millimeters. Round your answer to four decimal
places.

The diameters of ball bearings are known to be normally
distributed with mean 6.15 cm standard deviation 0.72 cm. Find the
probability that a randomly selected ball bearing has a diameter
less than 6.25 cm. Find the probability that a randomly selected
ball bearing has a diameter greater than 6.50 cm. Find the
diameters a and b such that the middle 80% of ball bearing
diameters are between a and b.

The diameters of ball bearings are distributed normally. The
mean diameter is 135millimeters and the variance is 9. Find the
probability that the diameter of a selected bearing is between 137
and 139millimeters. Round your answer to four decimal places.

An industrial sewing machine uses ball bearings that are
targeted to have a diameter of 0.75 inch.The lower and upper
specification limits under which the ball bearings can operate are
0.74 inch and 0.76 inch, respectively. Past experience has
indicated that the actual diameter of the ball bearings is
approximately normally distributed, with a mean of 0.753 inch and a
standard deviation of 0.004 inch. What is the probability that a
ball bearing is
A.
between the target and...

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