Question

Of the cartons produced by a​ company, 3% have a​ puncture, 10% have a smashed corner,...

Of the cartons produced by a​ company, 3% have a​ puncture, 10% have a smashed corner, and 0.7% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner.

Homework Answers

Answer #1

TOPIC:Events and probability.

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
A company that makes cartons finds that the probability of producing a carton with a puncture...
A company that makes cartons finds that the probability of producing a carton with a puncture is 0.06 ​, the probability that a carton has a smashed corner is 0.1 ​, and the probability that a carton has a puncture and has a smashed corner is 0.006 . Answer parts​ (a) and​ (b) below. ​(a) Are the events​ "selecting a carton with a​ puncture" and​ "selecting a carton with a smashed​ corner" mutually​ exclusive? Explain. A. ​No, a carton cannot...
The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces...
The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces and a standard deviation of 0.5 ounce. ​(a) What is the probability that a randomly selected carton has a weight greater than 8.12 ​ounces? ​(b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 8.12 ​ounces? ​(a) The probability is nothing. ​(Round to four decimal places as​ needed.)
The amount of water in a carton is normally distributed with a mean of 312ml and...
The amount of water in a carton is normally distributed with a mean of 312ml and a standard deviation of 10ml. Every bottle of water is labeled with the serving size as 300 mL. What is the probability that a randomly selected carton has less than the labeled serving? Determine the amount of water in a carton for which only 2% of cartons fall below this amount. Suppose that the water company sells cartons of water as a pack of...
A poultry farm owner estimated that about 3% of egg cartons are getting damaged (at least...
A poultry farm owner estimated that about 3% of egg cartons are getting damaged (at least one broken egg) during transportation to various retailers. Suppose a retailer bought 80 cartons of eggs from the poultry farm. Let X denote the number of damaged cartons among the 80 cartons. a. How many damaged cartons does the retailer expect to have among 80? b. Find the probability that at most 3 damaged cartons among 80? c. Would it be unusual if 5...
The profits of a mobile company are normally distributed with Mean of R.O (20 x 10)...
The profits of a mobile company are normally distributed with Mean of R.O (20 x 10) and a standard deviation of R.O (20). a. Find the probability that a randomly selected mobile has a profit greater than R.O ((20x10) +10). b. Any mobile phone which profit is greater than R.O ((20x10) +10) is defined as expensive. Find the probability that a randomly selected mobile has a profit greater than R.O ((20x10) +20) given that it is expensive. c. Half of...
Of 10,000 students at a university, 2,500 have a MasterCard card (M), 4,000 have a Visa...
Of 10,000 students at a university, 2,500 have a MasterCard card (M), 4,000 have a Visa card (V), and 4,000 have neither card. A. Find the probability that a randomly selected student has both cards? B. Find the probability that a randomly selected student has at least one of these two cards? C. Find the probability that a randomly selected student has a MasterCard but not a Visa card? D. [What proportion of students who have a MasterCard also have...
The profits of a mobile company are normally distributed with Mean of R.O (D x 10)...
The profits of a mobile company are normally distributed with Mean of R.O (D x 10) and standard deviation of R.O (D). a. Find the probability that a randomly selected mobile has a profit greater than R.O ((Dx10) +10). b. Any mobile phone which profit is greater than R.O ((Dx10) +10) is defined as expensive. Find the probability that a randomly selected mobile has a profit greater than R.O ((Dx10) +20) given that it is expensive. c. Half of expensive...
3. 95% of the radios produced by a company are known to have no defects. Three...
3. 95% of the radios produced by a company are known to have no defects. Three radios are tested at random and the number of defective radios is recorded. a) Define and name the random variable in this problem. (1 mark) b) Find the probability distribution for this random variable. Express all probabilities correctly rounded to 4 decimal places. c) What is the expected number of non-defective radios? d) Determine the probability of at most 2 defective radios.
The following discrete probability distribution shows the probability of having the indicated number of cracked eggs,...
The following discrete probability distribution shows the probability of having the indicated number of cracked eggs, X, in each carton of 12 eggs purchased in a certain grocery chain. X 0 1 2 3 4 P(X) 60% 17% 11% 10% 2% Tip "At least 5" means "5 or more" "At most 5" means "5 or less" Find each of the following probabilities: a. P(X < 3) = b. P(X > 4) = c. P(1 < X < 4) = d....
Suppose that 4% of produced computers by a company have defects, and defects occur independently of...
Suppose that 4% of produced computers by a company have defects, and defects occur independently of each other. a) Find the probability of exactly 2 defective computers in a shipment of fifty computers. b) Find the probability that a computer support specialist needs to test at least 10 computers in order to find one defective computer.