A Web ad can be designed from four different colors, three font types, five font sizes, three images, and five text phrases. How many different designs are possible? Consider the hospital emergency department data given below. Let A denote the event that a visit is to hospital 1, and let B denote the event that a visit results in admittance to any hospital.
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Consider the well failure data given below. Let A denote the event that the geological formation has more than wells, and let B denote the event that a well failed. Are these events independent? A Web ad can be designed from four different colors, three font types, five font sizes, three images, and five text phrases. A specific design is randomly generated by the Web server when you visit the site.
Let A denote the event that the design color is red, and let B denote the event that the font size is not the smallest one. Are A and B independent events? Explain why or why not. Consider the code 39 is a common bar code system that consists of narrow and wide bars black separated by either wide or narrow spaces white. Each character contains nine elements five bars and four spaces.
The code for a character starts and ends with a bar either narrow or wide and a white space appears between each bar. The original specification since revised used exactly two wide bars and one wide space in each character.
For example, if b and B denote narrow and wide black bars, respectively, and w and W denote narrow and wide white spaces, a valid character is bwBwBWbwb the number 6. Suppose that all 40 codes are equally likely none is held back as a delimiter. Let A and B denote the event that the first bar is wide and B denote the event that the second bar is wide.
Assume the probability of a gate failure is p and that the failures are independent. The integrated circuit fails to function if any gate fails. Determine the value for p so that the probability that the integrated circuit functions is 0.
Applied Statistics and Probability for Engineers