Imagine an investment with 3 possible outcomes. there's a 10% chance you'll lose the $1,000 you put in. there's an 80% chance you'll earn a $100 profit, and a 10% chance you'll earn a $300 profit. what is the expected value of making the investment?

Using it's concept, it is found that the expected value of making the investment is $10.

The expected value is given by the sum of each outcome multiplied by it's probability.

In this problem:

Hence, applying the expected value concept:

The expected value of making the investment is $10.

A similar problem is given at link

In this case, the expected value of a discrete random variable is equal to the sum of the probability of occurrence of each event multiplied by the value of the result of said event.

Then, the possibilities of dollar gains multiply by their probability of occurrence and add up. In this way, the expected value in this problem is:

Finally, the expected value of making the investment is $ 10 net profit.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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