A bakerman sells 5 types of cakes. Profit due | vedclass

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(A) The expected profit per cake is calculated using the formula for the expected value: $E(X) = \sum p_i x_i$.Here,$x_i$ represents the profit for ea

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Rs $1.725$

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(A) The expected profit per cake is calculated using the formula for the expected value: $E(X) = \sum p_i x_i$.Here,$x_i$ represents the profit for each type of cake and $p_i$ represents the probability (demand) of each type.Given values:$x_1 = 2, p_1 = 0.20$$x_2 = 2.5, p_2 = 0.05$$x_3 = 3, p_3 = 0.10$$x_4 = 1.5, p_4 = 0.50$$x_5 = 1, p_5 = 0.15$Expected Profit $= (2 	imes 0.20) + (2.5 	imes 0.05) + (3 	imes 0.10) + (1.5 	imes 0.50) + (1 	imes 0.15)$$= 0.4 + 0.125 + 0.3 + 0.75 + 0.15$$= 1.725$Therefore,the expected profit per cake is $Rs \ 1.725$.

$A$ bakerman sells $5$ types of cakes. Profit due to sale of each type of cake is respectively $Rs \ 2$,$Rs \ 2.5$,$Rs \ 3$,$Rs \ 1.5$ and $Rs \ 1$. The demands for these cakes are $20 \%$,$5 \%$,$10 \%$,$50 \%$ and $15 \%$ respectively. Then the expected profit per cake is:

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