9379 36 (d) Suppose that although the rated capacity of a freezer is x, the actu

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9379 36 (d) Suppose that although the rated capacity of a freezer is x, the actual capacity is h(X)-X-0.00o, what is the expected actual capacity of the freezer purchased by the next customer? 158128 Need Help? l Red Teer Talk to·Tutor l 014 points Previous Answers Devorestat9 3 E 046 My Notes O Ask Your Teach Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(2; 8, 0.3) (b) b(5; 8, 0.6) (c) P(3 s X 5) when n 7 and p 0.55 (d) p(1 S X) when n-9 and p-0.15 Need Help?Read Talk to a Tutor ubmit ave ess actice Another 9.) 4/5 points Previous Answers DevoreStat9 3 E 079 Notes Ask Your T The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"t proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-iron pipe of a particular length, the expected number

Explanation / Answer

a)
b(2; 8, 0.3) = 0.296
Formula used: =BINOM.DIST(2,8,0.3,FALSE)

b)
b(5; 8, 0.6) = 0.279
Formula used: =BINOM.DIST(5,8,0.6,FALSE)

c)
P(3 <= X <= 5)
= P(X <= 5) - P(X <=2)
= 0.745
Formula used: =BINOM.DIST(5,7,0.55,TRUE)-BINOM.DIST(2,7,0.55,TRUE)

d)
P(1 <= X)
= 0.599
Formula used: =BINOM.DIST(1,9,0.15,TRUE)

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