Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

a company produces steel rods. the lengths of the steel rods are normally distributed with a mean of 155.1-cm and a standard deviation of 1.4-cm. for shipment, 30 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is greater than 155.8-cm. p(m > 155.8-cm)

Sagot :

The probability that the average length of a randomly selected bundle of steel rods is 155.8 then P = 0.174 cm

Given sample size 'n' = 30 steel rods

Mean of the Population = 155.1 cm

Standard deviation of the Population = 1.4 cm

Given x⁻ be the random variable of Normal distribution

Let x₁⁻ =  155.8cm

The probability that the average length of a randomly selected bundle of steel rods is  155.8-cm.

P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)

                      = P(Z <Z₂) - P(Z<Z₁)

                     = 0.5 +A(1.629) - (0.5 +A(0.7541)

                     = A(1.629) - A(0.7541)

                     = 0.4474 - 0.2734

                     = 0.1

The probability that the average length of a randomly selected bundle of steel rods is 155.8 cm = 0.174

learn more about of probability here

https://brainly.com/question/16752717

#SPJ4

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.