ThebeEL TLCards are selected at random and with replacement from an ordinary deck of 52 cards. Define therandom variable X as the number of trials until we obtain the first ace. Give the probability massfunction of X and compute the probability that we need four trials to get the first ace.level boolbegeJemion to neizausall elcLet W be a Poisson random variable with P(W = 1) = P(W = 3). Find P(W = 6).JinUxenbs

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Light bulbs are tested for their life-span. It is found that 16% of the light bulbs are rejected. A random sample of 50 bulbs is taken from stock and tested. The random variable X is the number of bulbs that are rejected. What is the probability that the value of X is at least 5?
Assume that adults with smartphones are randomly selected, 48% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphone in meetings or classes. The probability is? Round to four decimal places as needed.
Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag. Oliver performs the experiment 23 times. The results are shown below: A pineapple chew was selected 17 times. A lemon chew was selected 4 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number.
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A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. X P(X = x) 2 0.015 If you were to randomly draw two coins from this jar, how many cents do you expect to have on average? (Averages of discrete things CAN be decimals!)
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An average of 1 package is sent to a server in 1 second. The server, on the other hand, uses the 5 packages that come to it.is preparing a document. The time between packets is modeled as an exponential random variable. X of the serverLet it be a random variable expressing the time it takes to prepare a document. Passing for the preparation of a documentyour timea. Find the probability that it is more than 10 seconds.b. Find the probability that it is between 5 seconds and 10 seconds.

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Cards are selected at random and with replacement from an ordinary deck of 52 cards. Define the random variable X as the number of trials until we obtain the first ace. Give the probability mass function of X and compute the probability that we need four trials to get the first ace.