3. In a carnival booth, you win a stuffed giraffe if you tossed a coin into a small dish. The dish is on the shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point. If you toss the coin with a velocity of 6.4m/s at an angle of 60° above the horizontal, the coin lands in the dish. You can ignore air resistance. 6,4 m/a 60 2.1 m (a) What is the height of the shelf above the point where the coin leaves your hand? (b) What is the vertical component of the velocity of the coin just before it lands in the dish?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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