Suppose that 10% of the engines manufactured on a certain assembly line are defective. if engines are randomly selected one at a time and tested, (1) (2 points) calculate the probability that exactly two good engines will be tested before a defective engine is found. (2) (2 points) calculate the probability that at least three good engines will be tested before a defective engine is found. (3) (2 points) calculate the expected value of the number of good engines tested before a defective engine is found.

During the first month of operations, martinson services, inc., completed the following transactions: jan 2 martinson services received $65,000 cash and issued common stock to the stockholders. 3 purchased supplies, $1,000, and equipment, $12,000, on account. 4 performed services for a customer and received cash, $5,500. 7 paid cash to acquire land, $39,000. 11 performed services for a customer and billed the customer, $4,100. martinson expects to collect within one month 16 paid for the equipment purchased january 3 on account. 17 paid for newspaper advertising, $600. 18 received partial payment from customer on account, $2,000. 22 paid the water and electricity bills, $430. 29 received $2,600 cash for servicing the heating unit of a customer. 31 paid employee salary, $2,900. 31 declared and paid dividends of $1,800. requirements 1. record each transaction in the journal. key each transaction by date. explanations are not required. 2. post the transactions to the t-accounts, using transaction dates as posting references. label the ending balance of each account bal, as shown in the chapter. 3. prepare the trial balance of martinson services, inc., at january 31 of the current year. 4. mark martinson, the manager, asks you how much in total resources the business has to work with, how much it owes, and whether january was profitable (and by how much)?

Three pounds of material a are required for each unit produced. the company has a policy of maintaining a stock of material a on hand at the end of each quarter equal to 30% of the next quarter's production needs for material a. a total of 35,000 pounds of material a are on hand to start the year. budgeted purchases of material a for the second quarter would be:

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?