Question

he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution is approximated by a normal distribution since approximately an equal number of parts are above or below average, and most parts are very close to the mean value. A part will be discarded is it has a diameter of greater than 3.5 inches or less than 3 inches. What proportion of parts are discarded from the production line

Answer 1

Answer:

The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

Step-by-step explanation:

$Mean = \mu = 3.25 inches$

Standard deviation = $\sigma = 0.15 inches$

We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more

$P(Z \geq 3.5)=1-P(z$

Refer the z table for p value

$P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525$

Hence  the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525