Suppose that a candy company packages a bag of jelly beans whose weight is supposed to be 30 grams, but in fact, the weight varies from bag to bag according to a normal distribution with mean μ = 30 grams and standard deviation σ = 3 grams. If the company sells the jelly beans in packs of 9 bags, what can we say about the likelihood that the average weight of the bags in a randomly selected pack is 2 or more grams lighter than advertised?

The manager of a branch office of banco mexicali observed that during peak hours an average of 20 customers arrives per hour and that there is an average of 6 customers in the branch office at any time. how long does the average customer spend waiting in line and being serviced?

Shareholders of tesla recently expressed concerns that elon musk should give up some of his power on tesla's board by appointing two independent directors. which of the following is not a reason why elon musk is perceived to have significant power over tesla's board? 1. he is the founder of the firm and a successful entrepreneur, thus board members may be hesitant to challenge him.2. as the ceo and chairman of the firm he can easily determine what the board should discuss and how it should vote on strategic issues.3. all board members, except for kimbal, have been appointed to the board during elon's tenure.4. many of the firm's directors are outsider investment managers whose interests would not be aligned with those of firms' shareholders.

Abc factory produces 24,000 units. the cost sheet gives the following information: direct materials rs. 1,20,000direct labour rs. 84,000variable overheads rs. 48,000semi variable overheads rs. 28,000fixed overheads rs. 80,000total cost rs. 3,60,000presently the product is sold at rs. 20 per unit.the management proposes to increase the production by 3,000 units for sales in the foreign market . it is estimated that semi variable overheads will increase by rs. 1,000. but the product will be sold at rs. 14 per unit in the foreign market. however, no additional capital expenditure will be incurredq-1. what is present profit of the company ? q-2. what is proposed profit of the company in new market? q-3.what is suggestion for new makret proposal whether proposal accept or not