Question: (b) An assembled product is made up from three components, X, Y and Z. The length of each component is normally distributed with the following

(b) An assembled product is made up from three components, X, Y and Z. The length of each component is normally distributed with the following characteristics :

Component X : mean = 122 cm, standard deviation = 11 cm

Component Y : mean = 36 cm, standard deviation = 6 cm

Component Z : mean = 24 cm, standard deviation = 4 cm

Find the percentage of finished products with length less than 180 cm.

(6 marks) [Total : 20 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Question 10 For the standard normal probability distribution, the area to the left of the mean is (a) None of the above (b) 0.5 (c) Greater than 0.5 (d) Less than 0.5 Question 11 The travel time for...

i need help coding this in java! For each method: Design the signature of the method. Write Javadoc-style comments for that method. Write the body for the method. Write one or more tests that check...

how do i code the class and test in junit for this problem? all in hava please! Vectors are commonly used in Math and physics. A vector (in 3D) is signified by a direction and a length (magnitude)....

answer these questions, thanks. Question 2 10 points Save Ans' Globe Industries manufactures a product used In the Telecom Industry. Ted Dawson, the company's purchasing manager, Is currently...

Items 1 and 2 are based on Kingston Company, which needs 10,000 units of a certain part to be used in its production cycle. If Kingston buys the part from Utica Company instead of making it Kingston...

1. While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75.0 m north, 250 m east, 121 m at an angle 0 = 30.0 north of east, and 169 m south. Find the...

Total Cost per unit per unit Gadgets Ltd. specialising the household gadgets, has just perfected and test marketed a modified version of a popular gadget. It has three components X, Y and Y one of...

QUESTION 42 Wheel Company makes a product, K9. It has a production capacity of 1,000 units, and it can sell 900 units in the regular market. The regular selling price is $60 each. Wheel has received...

Could you please answer all the options? 2. A manufacturing company has an order for 300 units of a product for delivery at the end of day 45. The product consists of three components. Components Y...

Solve urgent and properly! 2. A manufacturing company has an order for 300 units of a product for delivery at the end of day 45. The product consists of three components. Components Y and Z form the...

A certain radio station broadcasts at a frequency of 1150 kHz; A red beam of light has a frequency of 4.70 x 10 14 Hz ; and an ultraviolet ray has a frequency of 2.4 x 10 16 Hz. Which has the highest...

During the observation of a client's physical inventory count, the auditor noted that the client had changed the numbering system used to identify inventory products. In your observations, you...

Question 1 4 ( 1 0 points ) Forward Contracts ( choose all that apply ) : a ) Are agreements to buy or sell an asset on some future date, at a predetermined price. b ) Are usually traded on exchanges...

Classic Bicycles Inc . makes moderately expensive bikes and very high end custom bikes. The moderately expensive bikes sell for $600 apiece whereas the high end bikes sell for $8,000 apiece. The...