West virginia has one of the highest divorce rates in the nation with an annual rate of approximately 5 divorces per 1000 people (centers for disease control and prevention website, january 12, 2012). the marital counseling center, inc. (mcc) thinks that the high divorce rate in the state may require them to hire additional staff. working with a consultant, the management of mcc has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.

west virginia has one of the highest divorce rates

a. is this probability distribution valid?
selectyesnoitem 1

explain.

f(x) selectgreater than or equal to 0less than or equal to 0greater than or equal to 1less than or equal to 1item 2
? f(x) selectequal to 1not equal to 1greater than 1less than 1item 3
b. what is the probability mcc will obtain more than 30 new clients (to 2 decimals)?

c. what is the probability mcc will obtain fewer than 20 new clients(to 2 decimals)?

d. compute the expected value and variance of x.

expected value clients per year
variance squared clients per year

You are a manager at asda. you have been given the demand data for the past 10 weeks for swim rings for children. you decide to run multiple types of forecasting methods on the data to see which gives you the best forecast. if you were to use exponential smoothing with alpha =.8, what would be your forecast for week 22? (the forecast for week 21 was 1277.) week demand 12 1317 13 1307 14 1261 15 1258 16 1267 17 1256 18 1268 19 1277 20 1277 21 1297

Read the following paragraph, and choose the best revision for one of its sentences.dr. blake is retiring at the end of the month. there will be an unoccupied office upon his departure, and it is big in size. because every other office is occupied, we should convert dr. blake’s office into a lounge. it is absolutely essential that this issue is discussed at the next staff meeting. (a) because every other office is occupied, it’s recommended that we should convert dr. blake’s office into a lounge. (b) because every other office is filled, we should convert dr. blake’s office into a lounge.

Alpha company uses the periodic inventory system for purchase & sales of merchandise. discount terms for both purchases & sales are, 2/10, n30 and the gross method is used. unless otherwise noted, fob destination will apply to all purchases & sales. the value of inventory is based on periodic system. on january 1, 2016, beginning inventory consisted of 350 units of widgets costing $10 each. alpha prepares monthly income statements. the following events occurred during the month of jan.: dateactivitya.jan. 3purchased on account 350 widgets for $11 each.b.jan. 5sold on account 400 widgets for $30 each. paid freight out with petty cash of $150.c.jan. 10purchased on account 625 widgets for $12 each.d.jan. 11shipping cost for the january 10 purchased merchandise was $400 was paid with a cheque by alpha directly to the freight company.e.jan. 12returned 50 widgets received from jan. 10 purchase as they were not the correct item ordered.f.jan. 13paid for the purchases made on jan. 3.g.jan. 21sold on account 550 widgets for $30 each. paid freight out with petty cash of $250.h.jan. 22authorize credit without return of goods for 50 widgets sold on jan. 21 when customer advised that they were received in defective condition.i.jan. 25received payment for the sale made on jan. 5.j.jan. 26paid for the purchases made on jan. 10.k.jan. 31received payment for the sale made on jan. 21.use this information to prepare the general journal entries (without explanation) for the january events. if no entry is required then enter the date and write "no entry required."