Question: Magnetic tape is slit into half-inch widths that are wound into cartridges. A slitter assembly contains 48 blades. Five blades are selected at random and

Magnetic tape is slit into half-inch widths that are wound into cartridges. A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day for sharpness. If any dull blade is found, the assembly is replaced with a newly sharpened set of blades.
(a) If 10 of the blades in an assembly are dull, what is the probability that the assembly is replaced the first day it is evaluated?
(b) If 10 of the blades in an assembly are dull, what is the probability that the assembly is not replaced until the third day of evaluation? [Hint: Assume the daily decisions are independent, and use the geometric distribution.]
(c) Suppose on the first day of evaluation, two of the blades are dull, on the second day of evaluation six are dull, and on the third day of evaluation, ten are dull. What is the probability that the assembly is not replaced until the third day of evaluation? [Hint: Assume the daily decisions are independent. However, the probability of replacement changes every day.]

Step by Step Solution

★★★★★

3.37 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let X denote the number of blades in the sample that are dull a PX211 PX0 PX0 PX11 PX0 ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-S (220).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Five cards are selected at random from a pack of cards without replacement. What is the probability that exactly three of them are picture cards (Kings. Queens, or Jacks)? If a hand of 13 cards is...

Suppose that a certain type of magnetic tape contains on the average three defects per 1000 feet. What is the probability that a roll of tape 1200 feet long contains no defects?

The garden shears shown consist of two blades and two handles. The two handles are connected by pin C and the two blades are connected by pin D. The left blade and the right handle are connected by...

A magnetic tape is slit into half-inch widths that are wound into cartridges. A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day for sharpness. If any...

RC Blake Co. This case is set in 1976 in a factory that produces adhesive tape products. The business issue is cost reduction through process technology changes. The focus of the case is how 10...

Allegheny Ludlum Steel! Question: What is your overall evaluation of Allegheny Ludlum Steel's productivity improvement program? Discuss the productivity improvement program at Allegheny Ludlum in...

In your digital system design, your design team have come with the following state diagram for FSM. How many Flip Flops are required to implement your state diagram? (Justify your answer clearly). So...

Write a function called odeRK4 which takes input parameters f, t and yo where: f is a function representing the right side of a differential equation y' = f(t, y) t is a NumPy array of 1 values ye is...

Cullumber Warehouse distributes hardback books to retail stores and extends credit terms of 4/10, n/30 to all of its customers. During the month of June, the following merchandising transactions...

On January 26, 1995, The Wall Street Journal reported that Compaq Computer Corp. posted record 1994 fourth-quarter results. Despite $20.5 million in losses from the Mexican currency devaluation, and...

John Martin, a highly skilled computer technician with a masters degree in computer science took a low profile evening job as a janitor at Kent Manufacturing Company. Since the position was low level...

A company begins the year with some debt. During the year the company makes a profit, spending half on dividends and half on new equipment purchases. It otherwise takes no action to alter its balance...

What important marketing activities fall under the heading of promotions?

Suppose that you perform a significance test and, based on the p-value, decide to reject the null hypothesis at the = 0.01 significance level. Th en suppose that your colleague decides to conduct...

Suppose that you perform a significance test using the = 0.05 significance level. a. For what p-values would you reject the null hypothesis? b. For what p-values would you fail to reject the null...

Suppose that you perform a significance test and obtain a p-value of 0.036. a. For what significance levels would you reject the null hypothesis? b. For what significance levels would you fail to...

The Harding Company manufactures skates. The companys income statement for 2013 is as follows: HARDING COMPANY Income Statement For the Year Ended December 31, 2013 Sales (11,100 skates @ $72 each) $...

Need both AW's and which is recommended!!! A firm must decide between two silicon layer chip designs from Intel. Their effective income tax rate is 39%, and MACRS depreciation is used. If the desired...

Anderson Company's last dividend was $2. The dividend growth rate is expected to be 10% for the next two years (Year 1 to Year 2), after which dividends are expected to grow at a constant rate of 5%...