Some customers do not plan ahead, so every day, the bakers at All About Cakes ba

Question

Some customers do not plan ahead, so every day, the bakers at All About Cakes bakery produce four cakes for last minute emergency orders. If the cakes are not sold within two days, they are thrown out. The probability distribution for the number of cakes sold out of each batch of four is given below. Find the standard deviation for the number of cakes sold out of four.

Do not round intermediate calculations. Enter your answer as a decimal rounded to three places.

Number of Cakes Sold

Probability

0

0.03

1

0.12

2

0.28

3

0.38

4

0.19

Standard deviation = _______ cakes

Number of Cakes Sold

Probability

0

0.03

1

0.12

2

0.28

3

0.38

4

0.19

Explanation / Answer

1.021567

Standard deviation = ____1.022___ cakes

Number of Cakes Sold Probability x* probability Probability*(x-mean)^2 0 0.03 0 0.199692 1 0.12 0.12 0.299568 2 0.28 0.56 0.094192 3 0.38 1.14 0.067032 4 0.19 0.76 0.383116 Mean 2.58 1.0436 Standard deviaton=sqrt(1.0436

1.021567

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