Question

The number of surface flaws in plastic panels used in the interior of automobiles has a...

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.07 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

(c) If 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws? Round your answers to four decimal places (e.g. 98.7654).

Homework Answers

Answer #1

For a car, lets find a probability of flaw
Here, λ = 0.07*10 = 0.7 and x = 0
As per Poisson's distribution formula P(X = x) = λ^x * e^(-λ)/x!

We need to calculate P(X > 0) = 1 - P(X <= 0).
P(X > 0) = 1 - (0.7^0 * e^-0.7/0!)
P(X > 0) = 1 - (0.4966)
P(X > 0) = 1 - 0.4966 = 0.5034

Now,
Here, n = 10, p = 0.5034, (1 - p) = 0.4966 and x = 1
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X <= 1).
P(X <= 1) = (10C0 * 0.5034^0 * 0.4966^10) + (10C1 * 0.5034^1 * 0.4966^9)
P(X <= 1) = 0.0009 + 0.0092
P(X <= 1) = 0.0101

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The number of surface flaws in a plastic roll used in the interior of automobiles has...
The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.09 flaw per square foot of plastic roll. Assume an automobile interior contains 12 square feet of plastic roll. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that there are no surface flaws in an auto’s interior? (b) If 17 cars are sold to a rental company, what is the probability...
The number of surface flaws in a plastic roll used in the interior of automobiles has...
The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.09 flaw per square foot of plastic roll. Assume an automobile interior contains 8 square feet of plastic roll. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that there are no surface flaws in an auto’s interior? (b) If 15 cars are sold to a rental company, what is the probability...
The number of surface flaws in a plastic roll used in the interior of automobiles has...
The number of surface flaws in a plastic roll used in the interior of automobiles has a Poisson distribution with a mean of 0.09 flaw per square foot of plastic roll. Assume an automobile interior contains 8 square feet of plastic roll. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that there are no surface flaws in an auto’s interior? (b) If 20 cars are sold to a rental company, what is the probability...
The number of surface imperfections in plastic boards used in automotive interiors averages 0.05 imperfections per...
The number of surface imperfections in plastic boards used in automotive interiors averages 0.05 imperfections per square foot of plastic board. Suppose the interior of an automobile contains 12 square feet of plastic board. a) Based on such information, identify, define, and argue for the assumptions of the type of random variable you need to model the problem. For the following paragraphs, verbally describe how to reach the solution mentioning the statistical concepts, as well as the statistic or sample...
2. is used for the core of solid gypsum partitions. Predecorated Veneer plastic X-rock Coreboard 3....
2. is used for the core of solid gypsum partitions. Predecorated Veneer plastic X-rock Coreboard 3. has a special fire-resistant core encased in a moisture-repellent paper. Liner board Blue board Tapered gypsum Regular gypsum panels 4. has a core of Portland cement reinforced with a glass fiber mesh embedded in both sides Coreboard Drywall Wonder board Sheetrock 5. For laminating gypsum boards to each other adhesive is used. contact construction drywall drywall stud 6. When single-fastening gypsum panels, fasteners are...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on its 2015 compact model are defective. If 16 of these cars are independently sampled, what is the probability that at least 6 of the sample need new gas tanks? 2. Use the Poisson Distribution Formula to find the indicated probability: Last winter, the number of potholes that appeared on a 9.0-mile stretch of a particular road followed a Poisson distribution with a mean of...
Match terms to their definitions. Write the corresponding letters on the blanks. Not all terms will...
Match terms to their definitions. Write the corresponding letters on the blanks. Not all terms will be used. 1. the best appearing side of a piece of wood or the side that is exposed when installed a. backing b. eased edge 2. a wall finish applied partway up the wall from the floor c. face 3. a building product made by compressing wood fibers into sheet form d. gypsum board 4. an edge of lumber whose sharp corners have been...
Chapter 17: Wall Finish Matching Match terms to their definitions. Write the corresponding letters on the...
Chapter 17: Wall Finish Matching Match terms to their definitions. Write the corresponding letters on the blanks. Not all terms will be used. Chapter 17: Wall Finish Matching Match terms to their definitions. Write the corresponding letters on the blanks. Not all terms will be used. 1. the best appearing side of a piece of wood or the side that is exposed when installed a. backing b. eased edge 2. a wall finish applied partway up the wall from the...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...