Question

Math

Posted 5 months ago

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Ebru is an entrepreneur. She plans to start 2 different very small businesses in the next year. Both businesses are independent of each other, and each business has a $50 \%$ chance of being successful and a $50 \%$ chance of failing.
Each business will make Ebru $\$ 200$ if it succeeds or lose her $\$ 200$ if it fails.
if $X$ is a random variable that represents Ebru's profit from starting these 2 businesses, drag the bars to graph the probability distribution for all possible values of $X$.
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Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

Identify the possible outcomes for Ebru's profit from starting two independent businesses

step 2

Calculate the probability for each outcome using the rules of probability for independent events

step 3

Construct the probability distribution for the random variable $X$ representing Ebru's profit

1 Answer

The probability distribution graph for $X$ will have bars at $-400$, $0$, and $400$ with respective probabilities calculated in step 2.

Key Concept

Probability Distribution of Independent Events

Explanation

The probability distribution for the sum of independent random variables is found by considering all possible outcomes and their associated probabilities.

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