Question: 3. (16 points) Consider the integer numbers 1 thru 10. If we define the event A as a number less than 7 and the

3. (16 points) Consider the integer numbers 1 thru 10. If we

3. (16 points) Consider the integer numbers 1 thru 10. If we define the event A as a number less than 7 and the event B as a number which is even then: (a) Construct the Venn diagram showing these 10 numbers and how they are located in both the events A and B (b) If each of the numbers 1 thru 10 are equally likely then construct the the Venn diagram from part showing only probabilities (c) Calculate and show in proper notation the probability of being in the event A or B. Sketch the VENN diagram and shade in this area. (d) Calculate and show in proper notation the probability of being in the event A and B. Sketch the VENN diagram and shade in this area. (e) Calculate and show in proper notation the probability of being in the event A or (not B). Sketch the VENN diagram and shade in this area. (f) Calculate and show in proper notation the probability of being in the event (not A) and B. Sketch the VENN diagram and shade in this area. (g) Calculate and show in proper notation the probability of an even number being less than 7. (h) Calculate and show in proper notation the probability of a number less than 7 being even.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solution 13 a PA 1 2 3 4 5 6 6 10 b A d A PB 2 4 6 8 10 5 To PA both B 2 4 6 3 10 15 3 3 To AB PA ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Events A and B are pictured in the Venn diagram at right. a. Are the two events mutually exclusive? Explain. b. Are the two events independent? Assume P(A) and P(B) . Explain.

The Venn diagram in Fig. 4 shows the probabilities for its four basic regions. Find (a) Pr (E) (b) Pr (F) (c) Pr (E | F) (d) Pr (F | E). Figure 4 S E F

Consider the hypothetical reaction B E + F which is assumed to occur by the mechanism Where B* represents a B molecule with enough energy to surmount the reaction energy bar70. Consider the following...

A cost function is a mathematical expression of how cost drivers affect a particular cost. However, an intuitive understanding of cost functions is just as important as being able to write the...

How can a company reduce its cash conversion cycle ? Discuss.

Using Fig. 4.89 , design a problem to help other students better understand source transformation. Apply source transformation to determine v o and i o in the circuit in Fig. 4.89 . R, vo R2

What is the difference between the body and the mind?

Erica Stone works in an accounts payable department. She has attempted to convince her boss to take the discount on the 3/10 net 45 credit terms most suppliers offer, but her boss argues that giving...

1. Use the balance sheet below to answer the following questions: Assets Short-Term Consumer Loans (one- year maturity) Long-Term Consumer Loans (five- year maturity) 125 Demand Deposits Passbook...

The Stone River Textile Mill was inspected by OSHA and found to be in violation of a number of safety regulations. The OSHA inspectors ordered the mill to alter some existing machinery to make it...

Nastya's makes risky investments with 25% of her portfolio and invests the rest of the portfolio in low-variance investments. This is an example of: (a) Attention Anomalies (b) Dis-junction Effect...

A thyroid cancer patient ingests a single dose of radioactive iodine-131 to kill the cancer cells. Iodine-131 has an effective half-life of approximately 7.71 days--some is lost to radioactive decay,...

Question 9 3 pts Currently, the Bright Ltd is an all-equity company. Earnings before interest and taxes (EBIT) for the company is expected to be $73,084 forever, and the cost of capital is currently...

A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could...

QUESTION 4 The following Trial Balance was extracted from the books of Mega Enterprise as at 31 December 2020. Particulars Debit (RM) Credit (RM) Capital 215,000 Duty on purchases 2,300 Insurance...

As the safety manager on a construction site, you have many roles. At the site, we are working we must approve the trenching and excavation plans for the subcontractors performing the work. Looking...

Problem 16-04A Rivera Company has several processing departments. Costs charged to the Assembly Department for November 2020 totaled $2,297,376 as follows. Work in process, November 1 Materials...

Illini Company, Inc. Balance Sheet as of 12/31/20X0 Assets Current Assets: Cash $1,500,000 Accounts receivable, net 18,000 Inventory 50,000 Total current assets 1,568,000 Equipment 90,000 Goodwill...

Yolanda is a cash basis taxpayer with the following transactions during the year: Cash received from sales of products........................................................................$65,000...

Patty Bayan is a single taxpayer living at 543 Space Drive, Houston, TX 77099. Her Social Security number is 466-33-1234. For 2012, Patty has no dependents, and her W-2 from her job at a local...

Indicate whether each of the items listed below would be included (I) in or excluded (E) from gross income for the 2012 tax year. ________a. Welfare payments ________b. Commissions ________c. Hobby...

31. How does Antabuse workpg78

2. The research on sensitization of the nucleus accumbens has dealt with addictive drugs, mainly cocaine. Would you expect a gambling addiction to have similar effectspg78 How could someone test this...

24. If incoming serotonin axons were destroyed, LSD would still have its full effects. However, if incoming dopamine axons were destroyed, amphetamine and cocaine would lose their effects. Explain...