Question: Question 2 [Total: 25 marks] (a) The hypermarket manager order 100 cartons of fruits from supplier A and 50 cartons of fruits from supplier B.

Question 2 [Total: 25 marks]

(a) The hypermarket manager order 100 cartons of fruits from supplier A and 50 cartons of fruits from supplier B. 5% of the cartons of fruits supply by supplier A are spoiled and 93% of the cartons of fruits supply by supplier B are good. (i) Draw a well-labelled tree diagram to illustrate this situation, then calculate all the joint probabilities. [5 marks]

(ii) Calculate the total number of cartons of fruits which are spoiled. [3 marks]

(iii) Given that a random selected carton of fruits is spoiled, calculate the probability that the carton of fruits is supply by supplier A. [3 marks]

(b) A large batch of toys contains 20% defectives. They are sold in packets each containing six toys. Find the probability that a purchaser will receive a packet containing. (i) two or more defectives toys, [4 marks]

(ii) at most five defectives toys. [3 marks]

(c) The weight of a particular brand of cereal in a packet can be approximated to a normal distribution with a mean of 500 grams and a standard deviation of 10 grams. (i) What is the percentage that a randomly selected packet will contain between 505 and 515 grams of cereal? [4 marks]

(ii) Determine the minimum weight of cereal exceeded by 10% of the packets.[3 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Mathematics Questions!

QUESTION 37 For the next 4 questions suppose the following holds: Consider the following probability distribution for Stock Fund (S) and Bond Fund (B). State Probability Return on Bond Fund Return on...

how to draw tree diagram with hypermarket manager order 100 cartons of fruits from supplier A and 50 cartons of fruits from supplier B. 5% of the cartons of fruits supply by supplier A are spoiled...

ANSWER ALL THE QUESTIONS Question 1 Khaki & Sons Limited (KSL) is a family business that deals in car spare parts. It is one of the largest dealers in car spare parts in Uganda. Since inception in...

Question 3 (Total 20 marks) Tesla Motors is assessing which of the two windscreen suppliers has a better environmental design for disassembly. Based on the data shown in the tables below. select...

QUESTION 1 Part A Glam Bridal Company, a wedding planner company, commences their business operation as of 1 January 2020. Throughout the month of January 2021, several transactions occurred as...

Question 1 2pts (CO 4) Consider the following table: Age GroupFrequency 18-2998330-3978440-4968650-5963260-6954170 and over527 If you created the probability distribution for these data, what would...

QUESTION # 1 50 MARKS SC Consulting, a supply chain consulting firm, must decide on the location of its home offices. Its clients are located primarily in the 16 states listed in Table. There are...

Case Study: Amazon.com, Inc: Driving Disruptive Change in US grocery market. Answer all question based on mark given; 1) State the case? ( 20 marks) 2) Identify the problem and its symptoms based on...

Please answer questions 1-10 based on the case. Please answer questions 1-10 In March 2011, Vishal Ramani, the inventory manager of sales and distribution for Toffee Inc., a confectionery company,...

answer these questions, thanks. Question 2 10 points Save Ans' Globe Industries manufactures a product used In the Telecom Industry. Ted Dawson, the company's purchasing manager, Is currently...

CASE 03 Whole Foods Market in 2014: Vision, Core Values, and Strategy Arthur A. Thompson The University of Alabama ounded in 1980, Whole Foods Market had evolved from a local supermarket for natural...

For maximumloading of hemoglobin with oxygen at the lungs, the a)PO2 should be about70 mm Hg. b) pH should beslightly acidic. c) BPG levels in thered blood cells should be high. d) PCO2 should...

A project with a cash outlay now is followed by positive expected cash flows in the future and a payback period less than its economic life. Is its net present value positive or negative? Explain....

In strategic management, both the short 4 e m and long - term perspectives need bo be considered because Multiple Choice shareholder value is only measumed by shor sems seturn. shareholders only cave...

On May 1, 2016, Love Corporation declared a $50,000 cash dividend to be paid on May 31 to shareholders of record on May 15. Required a. Record the events occurring on May 1, May 15, and May 31 in a...

Elroy Corporation repurchased 4,000 shares of its own stock for $30 per share. The stock has a par of $10 per share. A month later Elroy resold 900 shares of the treasury stock for $32 per share....

An automotive workers union, in conjunction with top management, is negotiating a new hourly pay policy for union workers based on three variables: (1) job class, (2) years with the company, and (3)...

A researcher interviews 50 employees of a large manufacturer and collects data on each workers hourly wage (Wage), years of higher education (EDUC), experience (EXPER), and age (AGE). The entire data...

Gunny Stores, Inc., one of the nation's largest grocery retailers, reported the following information (adapted) in its comparative financial statements for the fiscal year ended January 31, 2015:...

what were the three alternatives DE had for developing the Hardware and software capabilities to become a digital firm. Use a numbered list and answer in full sentences for full credit.

5.2 Describe four quantitative and two qualitative techniques used to forecast human resources demand.

5.3 Discuss briefly the four strategies used to forecast internal human resources supply and three types of market conditions assessed when forecasting external human resources supply.

2. The owner of the business has heard that qualitative methods produce the best job descriptions. Would you attempt to persuade him otherwise? agency that has an established presence in the northern...