Lesson Performance Task On a computer screen, lengths and widths are measured not in inches or millimeters but in pixels. A pixel is the smallest visual element that a computer is capable of processing. A common size for a large computer screen is 1024 x 768 pixels. (Widths rather than heights are conventionally listed first.) For the following, assume you're working on a 1024 x 768 screen. 1. You have a photo measuring 640 x 300 pixels and you want to enlarge it proportionally so that it is as wide as the computer screen. Find the measurements of the photo after it has been scaled up. Explain how you found the answer. 1024 pixels 768 pixels 2. a. Explain why you can't enlarge the photo proportionally so that it is as tall as the computer screen. b. Why can't you correct the difficulty in (a) by scaling the width of the photo by a factor of 1024 + 640 and the height by a factor of 768 ÷ 300? 3. You have some square photos and you would like to fill the screen with them, so there is no overlap and there are no gaps between photos. Find the dimensions of the largest such photos you can use (all of them the same size), and find the number of photos. Explain your reasoning.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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