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# Review Sheet for MATH 115A with Professor Wood at UA

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Arizona taught by a professor in Fall. Since its upload, it has received 21 views.

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Date Created: 02/06/15
WS 17 Review of Random Variable amp Expected Values Name 1 Let X be the random variable of the total number of heads there are when you ip a coin 3 times A Write the sample space of ipping a coin 3 times and recording the outcome B What are the possible values of X C Find the following probabilities if the coin is fair Calculate each one Recall PH 5 Each toss is independent so PX3PHPHPH555 PX 0 PX 1 PX 15 PX 2 PX 3 PX 4 PX 10 D Using the above information make a bar graph bars are not connected since input isn t continuous The probability is the vertical and Xvalues are on the horizontal Make an appropriate scale place values that make it easy to read the graph E Find the following Probabilities using your answers above PX lt 0 PX S 0 PX S l PX S 15 PX S 2 13033 PXS4 PX S 10 F Using the above information make a bar graph these bars are connected since the intervals are continuous Make an appropriate scale The vertical is the probability less than or equal to the input G Calculate the expected value 2 1 Let X be the random variable of the total number of heads there are when you ip a coin 3 times A this is the same sample space as 1 B The possible values of X is the same as 1 C Find the following probabilities if the coin is not fair The probability of getting a head is 70 Recall PH 7 Each toss is independent so PX3PHPHPH777 PX 0 PX 1 PX 15 PX 2 PX 3 PX 4 PX 10 D Using the above information make a bar graph bars are not connected since input isn t continuous The probability is the vertical and Xvalues are on the horizontal Make an appropriate scale place values that make it easy to read the graph E Find the following Probabilities using your answers above PX lt0 PX 0 PX 1 PXslj PX 2 PXS3 PXs4 PX S 10 F Using the above information make a bar graph these bars are connected since the intervals are continuous Make an appropriate scale G Calculate the expected value WS 17 Review of Random Variable amp Expected Values Name 3 A certain factory is producing resistors The factory has a defective rate of 4 on its resistors Let X be the random variable of how many defective resistors there are when 3 resistors are chosen Assume that a resistor is chosen and returned before the next is chosen And the events of choosing a resistor are independent A Write the sample space of choosing 3 resistors 71 7 nondefective and d 7 defective remember the sample space has 8 elements B What are the possible values of X C Find the following Probabilities Recall Pa 04 Each draw is independent so PX3Pa PdPd040404 Verify that the total sum of the probabilities equals 1 PX 0 PX 1 this can happen 3 di erem ways PX 2 this can happen 3 di erem ways PX 3 PX 4 PX 10 D Find the following Probabilities using your answers above PX lt 0 PX S 0 PX S l PX S 2 PX S 3 PX S 4 PX S 10 You do not have to make a graph E Calculate the expected value

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