* 86. A company produces certain type of sophisticated items bythree machines. The respective daily production figures : Machine A 300 units,Machine B 450 units and Machine C 250 units. Past experiènce shows that thepercentage of defective in the three machines are 0.1, 0.2 and 0.7 respectivelyfor the machines A, B and C. An item is drawn at random from a day'sproduction and is found to be defective. What is the probability that it is notproduced by machine C ?

Answered: 2 86. A company produces certain type…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

4. In operations management, you learn that intermittent systems produce a variety of products one at a time (or in batches) to customer order. These systems contrast with continuous systems, in which a large number of homogeneous products are produced. One feature of intermittent systems is that new orders arrive at irregular intervals. For example, orders for business letterhead may come into the Ben Franklin Print Shop at the rate of .5 per day. What is the probability that the time between two orders is less than one day?
Question 3 a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) (ii) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. Stating its parameter(s), what is the probability distribution of this variable? Compute the probability that 5 calls will arrive per minute. (iii) Compute the probability that 3 or more calls will arrive in a 3-minute interval?[
Task01
1. A beverage manufacturing company uses a pair of redundant pumps to transfer flavored syrups to the bottling line. Each pump has a À of 0.055 failures per year and ß of 0.05. What is the probability that both pumps will fail during a 45 day production run? a. 0.00004 b. 0.00034 c. 0.00038 d. 0.12
4. The number of students entering in the canteen at any given hour is represented by a random variable X. 40 50 70 80 X P(x) 60 0.1 0.2 0.4 0.1 0.2 Find the probability that at least 50 students enter in the canteen.
Question 5 in Images. Thank you
43. The daily demand for a spare engine part is a random variable with a distribution, based on past experience, given by Number of Demands per Day Probability .21 38 .19 1 2 3 .14 4 .08 The part is expected to be obsolete after 400 days. Assume that demands from one day to the next are independent. The parts cost $1,500 each when acquired in advance of the 400-day period and $5,000 each when purchased on an emergency basis during the 400-day period. Holding costs for unused parts are based on a daily interest rate of 0.08 percent. Unused parts can be scrapped for 10 percent of their purchase price. How many parts should be acquired in advance of the 400-day period? (Hint: Let D1, D2, . . , D400 represent the daily demand for the part. Assume each D; has mean µ and variance o². The central limit theorem says that the total demand for the 400-day period, ED;, is approximately normally distributed with mean 400µ and variance 400o².) ....
6. For an insurance coverage, claim counts follow a binomial distribution with m = 4. q varies by insured with the following probabilities: 0.1 0.2 0.3 Probability 0.5 0.25 0.25 An insured submits 0 claims in the first year and 3 claims in the second year. Calculate the predictive probability of the same insured submitting 0 claims in the third year.
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3
5. Based on recent records, the manager of a car painting centre has determined the following probability distribution for the number of customers per day: 1 3 4 P(X = x) 0.05 0.2 0.3 0.25 0.15 0.05 А. f the centre has the capacity to serve three customers per day, what is the probability that one or more customers will be turned away on a given day? В. What is the probability that the centre's capacity will not be fully utilized on a day? С. away is no more than 0.1? By how much the capacity must be increased so the probability of turning customer 2. il
3. Daily demand for lots of apples at the grocery store is given by the following probability distribution: 10 15 20 p(x) |0.30 0.55 0.15 The store buys a lot for $55 and sells it for $130 each. Any unsold lots at the end of the day are disposed at $45 each. Assuming that the stock level is restricted to one of the demand levels, how many lots should be stocked daily?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS