Question

Due in 2 hours, 7 minutes. Due Wed 07/24/2019 11:59 pm A company produces steel rods. The lengths of the steel rods are normally distributed with a means of 212..ems and Show Intro/Instructions standard deviation of 2.1-cm. For shipment, 17 steel rods are bundled together Find the probability that the average length of a randomly selected bundle of steel rods is between 212 9.c and 213.2- P1212.9.cm 2 13.2-cm) - Enter your answer as a number accurate to 4 decimal places. Points possible: 10 This is attempt 1 of 5. Post this question to forum Submit

Answer 1

Solution:- The probability that the average length of a randomly selected bundled of steel rods is between 212.9 and 213.2 is 0.06.

Mean = 212.2, S.D = 2.1, n = 17

x₁ = 212.9

x₂ = 213.2

By applying normal distribution:-

$z = \frac{x-\mu }{\frac{\sigma }{\sqrt{n}}}$

z₁ = 1.374

z₂ = 1.963

P( 1.374 < z < 1.963) = P(z > 1.374) - P(z > 1.963)

P( 1.374 < z < 1.963) = 0.085 - 0.025

P( 1.374 < z < 1.963) = 0.06.