Question

Each of 14 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 9 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let Xbe the number among the first 6 examined that have a defective compressor. Calculate P(x 4) and P(X s P(X=4) = 0.4196 P(X 4) 10.8012 (a) 4). (Round your answers to four decimal places.) (b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to four decimal places.) 0.9207 Enter a number (c) Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 10 randomly selected refrigerators that have defective compressors, describe a less tedious way to calculate (at least approximately) P(X 2) than to use the hypergeometric pmf. distribution if the population size We can approximate the hypergeometric distribution with the -Select and the number of successes are large. Here n = and p = M/N= Approximate P(X 2) using that method. (Round your answer to three decimal places.)

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Each of 14 refrigerators of a certain type has been returned to a distributor because of...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Each of 12 refrigerators of a certain type has been returned to a distributor because of...

    Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 8 of these refrigerators have a defective compressor and the other 4 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X = 5) and PCX S 5). (Round your answers to...

  • Each of 15 refrigerators of a certain type has been returned to a distributor because of...

    Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 12 of these refrigerators have a defective compressor and the other 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 11 examined that have a defective compressor. (a) Calculate P(X = 9) and P(X ≤ 9).  (Round your answers to...

  • 5. -9.09 points DevoreStat8 3.E.069 My Notes Ask Your Each of 12 efrigerators of a certain...

    5. -9.09 points DevoreStat8 3.E.069 My Notes Ask Your Each of 12 efrigerators of a certain type has been returned to distributor because of an audible, high-pitched, oscillating noise when the efrigerators are running. Suppose that 7 of these efrigerators ha defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor (a) Calculate P(X4) and PX S...

  • A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version....

    A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 14 of these cameras, of which 8 have 3-megapixel resolution. Suppose that 3 of these cameras are randomly selected to be stored behind the counter; the other 11 arc placod in a storeroom. Let X = the number of 3-megapixel cameras among the 3 selected for behind-the-counter storage. (a) What kind of distribution does X have...

  • eeR papers as stableah No Question to instructor! If you belive t statement; use your assumption to solve the problem. Breaking the e Prob-1 Probability that cars have been assembled in a part...

    eeR papers as stableah No Question to instructor! If you belive t statement; use your assumption to solve the problem. Breaking the e Prob-1 Probability that cars have been assembled in a particular plant as follows: Pl plant I )-20% , P(plam2)-24% , P(plant3)-25% , P(plant4)-31 % Total number of cars manufactuted by all plants: 1.2 million/year Number of cars of no warranty claims manufactured by plantl: 223200/year ty claim rate of the cars assembeled in plantl? Ans: Prob-2 The...

  • Suppose that when a transistor of a certain type is subjected to an accelerated life test,...

    Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 20 weeks and standard deviation 10 weeks (a) What is the probability that a transistor will last between 10 and 20 weeks? (Round your answer to three decimal places.) (b) What is the probability that a transistor will last at most 20 weeks? (Round your answer to three decimal places.) Is the median...

  • An air conditioning contractor has kept detailed records on the lifetimes of a random sample of...

    An air conditioning contractor has kept detailed records on the lifetimes of a random sample of 250 compressors. She plans to use the sample mean lifetime, x, of those 250 compressors as her estimate for the population mean lifetime, u, of all such compressors. If the lifetimes of this brand of compressor have a standard deviation of 45 months, what is the probability that the contractor's estimate will be within 7 months of the true mean? The probability is (Round...

  • Suppose that when a transistor of a certain type is subjected to an accelerated life test,...

    Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks. (a) What is the probability that a transistor will last between 12 and 24 weeks? (Round your answer to three decimal places.) (b) What is the probability that a transistor will last at most 24 weeks? (Round your answer to three decimal places.) Is the median...

  • Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint...

    Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ = 6 ml and standard deviation σ = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.) (b) P(x < 6.2)= (d) P(5.6 < x...

  • A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of...

    A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT