Quiz four is up tomorrowHomework 4 is due FridayContinuous probability distribution- probability of any particular value is zero, you have probability values of rangesslide 45: the area under the curve is the same for all the graphs, area under any probability density functions is one (this helps when you’re doing the last problem on the homework)most likely values are around the same spotDifferent shapes to the probability density functions, continuous probability distribution (one is called the exponential function)Most important: normal distributionslide 46 top right- exponential, peak at the far left, most likely values are on the far left of the scale; the rate at which these values decrease varies among each of the curves on this graph.Bimodal continuous probability distribution- slide 46 bottom left graphAnswer to slide 47: A, 0.8 percent of the probability is between -5 and 00.25 means ¼ of the probability on the graph was in between -5 and 0, but that’s false, there is less0.1 it's more than 1 percentAs the bin size gets smaller and smaller- histograms start to be described by a smooth curveprobability of getting a person in any given slice of the distribution- probability distributionReview:random process- can't know in advance what the outcomes will belaw of large numbers- as you run a random process more and more, the proportion of times that a certain outcome occurs will converge on that probabilityprobabilities sum to oneHomework 4:the time between when steve presses his lever follows an exponential distributionrate of 3= the number of times steve presses the lever in one hourprobability distribution of the amount of time until he presses the lever low values are likely, he’s likely to press the lever quicklyneither press the lever in one hour: assume lever pressing is independent of each otherQ14: sketch bob's first lever press, add steve's also. two prob. density functions on the same graph, area underneath needs to be the same Basics of Probability 02/24/2014Quiz four is up tomorrowHomework 4 is due Friday-Continuous probability distribution- probability of any particular value is zero, you have probability values of ranges -slide 45: the area under the curve is the same for all the graphs, area under any probability density functions is one (this helps when you’re doing the last problem on the homework)-most likely values are around the same spot-Different shapes to the probability density functions, continuous probability distribution (one is called the exponential function)-Most important: normal distribution-slide 46 top right- exponential, peak at the far left, most likely values are on the far left of the scale; the rate at which these valuesdecrease varies among each of the curves on this graph. -Bimodal continuous probability distribution- slide 46 bottom left graph-Answer to slide 47: A, 0.8 percent of the probability is between -5 and 0-0.25 means ¼ of the probability on the graph was in between -5 and 0, but that’s false, there is less-0.1 it's more than 1 percent-As the bin size gets smaller and smaller- histograms start to be described by a smooth curve-probability of getting a person in any given slice of the distribution- probability distribution-Review:-random process- can't know in advance what the outcomes will be-law of large numbers- as you run a random process more and more, the proportion of times that a certain outcome occurs will converge on that probability-probabilities sum to one-Homework 4:-the time between when steve presses his lever follows an exponential distribution-rate of 3= the number of times steve presses the lever in one hour-probability distribution of the amount of time until he presses the lever low values are likely, he’s likely to press the lever quickly-neither press the lever in one hour: assume lever pressing is independent of each other-Q14: sketch bob's first lever press, add steve's also. two prob. density functions on the same graph, area underneath needs to be the
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