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an electrical systess in given in the dagm bo The se voks if de of each compone

ID: 3335832 • Letter: A

Question

an electrical systess in given in the dagm bo The se voks if de of each compone i 0.9 0.95 0.9 10. A fast food restaurant chain has 610 outlets in the Unined States. The folowing tale canegoeines cities by sine and location and presenes the number cach category. A restaueant is to be chosen at random from d style of chicken. (20 points) the 610 so test market a new NE 5000-3000 Over a If the restaurant is located in a city with a population over 500000, what is the peobabiliry that it is in the Northease? b. If the resaurant is located in the Southeast, what is the peobability that i is in a city with a population under 50, c If the restaurane is located in the Southwest, what is the probability that it is in a city with a population of $00,000 or less? d If the restaurant is located in a city with a population of 500,000 or less,what is the probabiiry that it is in the Southwest

Explanation / Answer

9) Probability that the system will work = P(A or B working) and P(C working) and P(D or E working)

= [1 - P(both A and B not working)] x P(C working) x [1 - P(both D and E not working)]

= [1 - (1-0.9)(1-0.9)] x 0.95 x [1 - (1-0.8)(1-0.9)]

= [1 - 0.1x0.1] x 0.95 x [1 - 0.2x0.1]

= 0.99 x 0.95 x 0.98

= 0.9217

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