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Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a
yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X.
Determine the mean and standard deviation of Y. Show your work

Company F sells fabrics known as fat quarters which are rectangles of fabric created by cutting a yard of fabric into four pieces Occasionally the manufacturing class=

Respuesta :

Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.

Calculating the mean.

Based on the information given, it should be noted that the probability distribution for y will be:

Y                   0        1.         2

Probability 0.63.   0.25.   0.12

The mean of Y will be:

= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)

= 0 + 0.25 + 0.25

= 0.49

The variance will be 0.4899. Therefore, the standard deviation will be:

= ✓0.4899

= 0.699

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