Question

A certain grocery store in Tuscaloosa receives 20%, 40%, and 40% of its packaged salad from...

  1. A certain grocery store in Tuscaloosa receives 20%, 40%, and 40% of its packaged salad from Suppliers A, B and C, respectively. It is known that excess moisture (which causes a slimy texture) occurs in 12% of packaged salad from Supplier A, in 8% of packaged salad from Supplier B, and in 10% of packaged salad from Supplier C.

  1. What is the probability of randomly selecting a salad that is both from Supplier C and has excess moisture?
  2. Find the probability that a randomly selected packaged salad has excess moisture.
  3. If it is known that a packaged salad came from Bursitis Hospital, what is the probability that it has excess moisture?
  4. If it is known that a packaged salad has excess moisture, what is the probability that it came from Supplier A?

e.   If it is known that a packaged salad has excess moisture, what is the probability that it came from Supplier B?

f.    If it is known that a packaged salad has excess moisture, what is the probability that it came from Supplier C?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a) P(supplier C and excess moisture) = P(excess moisture | supplier C) * P(Supplier C) = 0.1 * 0.4 = 0.04

B) P(excess moisture) = 0.12 * 0.2 + 0.08 * 0.4 + 0.1 * 0.4 = 0.096

C) P(excess moisture | B) = 0.08

D) P(A | excess moisture) = P(Excess moisture | A) * P(A)/P(excess moisture) = (0.12 * 0.2)/0.096 = 0.25

E) P(B | excess moisture) = P(Excess moisture | B) * P(B)/P(excess moisture) = (0.08 * 0.4)/0.096 = 0.3333

F) P(C | excess moisture) = P(excess moisture | C) * P(C)/P(excess moisture) = (0.1 * 0.4)/0.096 = 0.4167

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A salesman in a department store receives household appliances from three suppliers: I, II, and III....
A salesman in a department store receives household appliances from three suppliers: I, II, and III. From previous experience, the salesman knows that 2%, 1%, and 3% of the appliances from suppliers I, II, and III, respectively, are defective. The salesman sells 35% of the appliances from supplier I, 25% from supplier II, and 40% from supplier III. If an appliance randomly selected is defective, find the probability that it comes from supplier III. Law of Total Probability must be...
4. A grocery store procures 4% of its eggs from Farm-H. Suppose 10% of the eggs...
4. A grocery store procures 4% of its eggs from Farm-H. Suppose 10% of the eggs that Farm-H supplies are rotten. And 5% of the eggs not obtained from Farm-H are rotten. a) Draw the probability tree, and indicate the known probabilities in it. b) What is the probability that a randomly selected egg is from Farm-H and rotten? Write the probability statement and show your steps in calculating the probability. c) What is the probability that a randomly selected...
A grocery store purchases bags of oranges from California to sell in their store. The weight...
A grocery store purchases bags of oranges from California to sell in their store. The weight of a bag of California oranges is normally distributed with a mean of 8.1 pounds and a variance of 1.21 pounds2. A bag of California oranges is randomly selected in the grocery store. (Round all probability answers to four decimal places.) a. What is the probability that a randomly selected California orange bag purchased by a customer weighs more than 8 pounds? b. What...
(12%) A small grocery store sells fresh produce, which it obtains from a local farmer. The...
(12%) A small grocery store sells fresh produce, which it obtains from a local farmer. The grocery store buys fresh organic strawberries weekly for $2.5 per pound and sells for $5 per pound. Excess cost has been $2 per pound. The manager believes that weekly demand can be approximated by a normal distribution with a mean of 40 pounds and a standard deviation of 10 pounds. a). How much should the store manager order (i.e., optimal stocking point)? b). Based...
A hospital receives 30% of its COVID-19 vaccine shipments from Ghana Health Service and the remainder...
A hospital receives 30% of its COVID-19 vaccine shipments from Ghana Health Service and the remainder of its shipments from neighbouring West African countries. Each shipment contains a very large number of vaccine vials. For GHS’s shipments, 8% of the vials are ineffective and for the neighbouring countries, 3% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and finds that one is ineffective. What is the probability that the shipment came from neighbouring...
A hospital receives 30% of its COVID-19 vaccine shipments from Ghana Health Service and the remainder...
A hospital receives 30% of its COVID-19 vaccine shipments from Ghana Health Service and the remainder of its shipments from neighbouring West African countries. Each shipment contains a very large number of vaccine vials. For GHS’s shipments, 8% of the vials are ineffective and for the neighbouring countries, 3% of the vials are ineffective. The hospital tests 30 randomly selected vials from a shipment and finds that one is ineffective. What is the probability that the shipment came from neighbouring...
A grocery store refrigerator contains 55 cartons of eggs. Of these, 40 cartons are fully intact...
A grocery store refrigerator contains 55 cartons of eggs. Of these, 40 cartons are fully intact while the rest contain at least one broken egg. A sample of 10 cartons will be selected (without replacement) from the 55 cartons in the refrigerator. Let X = number of cartons in the sample that are fully intact. (a) The probability that the sample will contain exactly 8 cartons that are fully intact is . (b) The expected value of X is ....
A grocery store refrigerator contains 55 cartons of eggs. Of these, 40 cartons are fully intact...
A grocery store refrigerator contains 55 cartons of eggs. Of these, 40 cartons are fully intact while the rest contain at least one broken egg. A sample of 11 cartons will be selected (without replacement) from the 55 cartons in the refrigerator. Let X = number of cartons in the sample that are fully intact. (a) The probability that the sample will contain exactly 8 cartons that are fully intact is __ . (b) The expected value of X is...
The masks supplier "Carrey" receives products from 2 textile factories. Factory A accounts for 40% of...
The masks supplier "Carrey" receives products from 2 textile factories. Factory A accounts for 40% of the goods and the rest supplied by factory B. Based on experience, 25% of factory A's masks are known to be defective. Factory B Works in 2 shifts around the clock. 70% of the masks are made on the day shift. 10% of these masks are defective. On the night shift, 30% of the masks are defective. a) Given that a musk turns out...
A restaurant receives 30% of its drinks from Company 1, 40% of its drinks from Company...
A restaurant receives 30% of its drinks from Company 1, 40% of its drinks from Company 2, and the remainder of its drinks from Company 3. From Company 1’s shipments, 5% of the drinks get damaged in shipping. From Company 2’s shipments, 4% of the drinks get damaged in shipping. From Company 3’s shipments, 1% of the drinks get damaged in shipping. A shipment of 200 drinks is delivered to the restaurant but we are not sure which company had...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT