A satellite is powered by three solar cells. The probability that any one of the

Question

A satellite is powered by three solar cells. The probability that any one of these cells will fail is 0.15, and the cells operate or fail independently. Part I: In this part we want to find the least number of cells the satellite should have so that the expected value of the number of working cells is no smaller than 3. In this situation, n represents the number of cells, r is the number of successful or working cells, p is the probability that a cell will work, q is the probability that a cell will fail, and mu is the expected value that should be no smaller than 3. 1) What is the value of p? of q? 2) The expected value for the number of working cells is given by mu np. The expected value o the number of working cells should be no smaller than 3, so 3 snp. Solve for n. 3) Since n is between 3 and 4 should you round it to three or four to make sure mu is at least 3 ll: In this part, we want to find the smallest number of cells the satellite should have to be 97 there will be adequate power-that is, that at least three cells work. The letter r has been used to denote the number of successes. In this case, r repres number of working cells. We are trying to find the number n of cells necessary to e that (which is appropriate?) 1) a. P(r-3 ) = 0.97 b. P(r-3) = 0.97 2) 3) Try n-4. Then r = 3 or 4, what is the probability? Try n = 5. Then r = 3, 4, or 5, what is the probability?

Explanation / Answer

a) q=0.15 ; p=1-q=0.85

b)np=3

n*0.85=3

n=3.529

c) It should be rounded off to 4 f

Please repost the others individually

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