We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,

z = z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

$z=\frac{21.97-22}{0.016}$

$z=\frac{-0.03}{0.016}$

$z=-0.1875$

Let us find z-score of data point 22.03.

$z=\frac{22.03-22}{0.016}$

$z=\frac{0.03}{0.016}$

$z=0.1875$

Using probability formula $P(a$ , we will get:

$P(-0.1875$

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

6 0

4 years ago

I don’t understand how to do this question so can anyone help me?

nataly862011 [7]

Step-by-step explanation:

from the line above

P1 = -2

P2 = -1

P3 = 1/3

P4 = 2/3

P5 = 1 1/2 = 3/2

The product of P1 to P5,P

=> P = -2×-1×1/3×2/3×3/2 = 2/3

8 0

3 years ago

A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?

Reptile [31]

Answer: D hope this helps

5 0

3 years ago

Must a function this is decreasing over a given interval always be negative over the same interval? Explain

aleksklad [387]

It is certainly possible for a function decreasing over a certain interval to be negative, but no rule that says it must be. On the other hand, where the function is decreasing, the rate of change of the function must be negative.

4 0

3 years ago

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