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Homework 3 - HW 3 Solutions 1 The first digit of a parts...

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HW 3 Solutions 1. The first digit of a part’s serial number is equally likely to be any of one of the digits 0 through 9. Let X be the random variable denoting the first digit of the serial number on a randomly selected part from a large batch. a. What is the probability distribution of X? Here , 10 1 ) ( x f x = 0,1,2,..,9 0 o.w. b. Find the probability that the first digit of the serial number on a randomly selected part is at least one. P(1 X)=1-P(X=0)=1-1/10=9/10 2. A fire detection device utilizes 4 temperature-sensitive cells working independently of each other such that any one or more of the cells may activate the alarm. Each cell has a probability 0.8 of activating the alarm when a temperature of 200 Farenheit or more is reached. a. Find the distribution of the no. of cells activating the alarm when the temperature of 200 degrees or more is reached. Let X be the no. of cells activating the alarm when the temperature of 200 degrees or more is reached.
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