A french eatery offers a menu comprising of three unique canaps, two distinct soups, four unique servings of mixed greens, nine diverse fundamental courses, and five unique sweets.

a.) A fixed value lunch supper comprises of a decision of a canap, a plate of mixed greens and a principle course. What number of various fixed value lunch suppers are conceivable?

b.) A fixed-value supper feast comprises of a decision of a canap, a decision of a soup or a serving of mixed greens, a decision of a principle course and a sweet. What number of various fixed-value meals are conceivable?

As indicated by Masterfoods, the organization that makes M&M's, 12% of nut M&M's are earthy colored, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round your responses to 4 decimal spots where conceivable)

a. Figure the likelihood that an arbitrarily chosen nut M&M isn't blue.

b. Figure the likelihood that a haphazardly chosen nut M&M is yellow or red.

c. Figure the likelihood that two haphazardly chose nut M&M's are both earthy colored.

d. In the event that you arbitrarily select two nut M&M's, process that likelihood that neither of them are blue.

e. On the off chance that you arbitrarily select two nut M&M's, process that likelihood that at any rate one of them is blue.

For every Bernoulli interaction, track down the normal number of achievements:

Number of preliminaries =30 Probability of achievement =0.7.

Number of preliminaries =280 Probability of accomplishment =1/10.

Number of preliminaries =27 Probability of accomplishment =0.2

Number of preliminaries =21, Probability of disappointment =0.8

Number of preliminaries =49 Probability of disappointment =2/7

A director is attempting to conclude whether to get one machine or two. In the event that just one is bought and request ends up being unnecessary, the subsequent machine can be bought later. A few deals will be lost, notwithstanding, on the grounds that the lead time for delivering this kind of machine is a half year. Furthermore, the expense per machine will be lower if both are bought simultaneously. The likelihood of low interest is assessed to be 0.20. The after-charge net present worth of the advantages from buying the two machines together is $90,000 if request is low and $180,000 if request is high.

In the event that one machine is bought and request is low, the net present worth is $120,000. On the off chance that request is high, the chief has three choices. Doing nothing has a net present worth of $120,000; subcontracting, $160,000; and purchasing the subsequent machine, $140,000.

a. Draw a choice tree for this issue.

b. What number of machines should the organization purchase at first? What is the generally anticipated result for this other option?