Zadanie 8b
Find every time when the two contents are equal.
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Find every time when the two contents are equal.
Find the total time in[0,8] when B’s content increases faster than A’s.
(i) Expand (1 + a)3 in ascending powers of a. (ii) Use an appropriate substitution to show that .
You may use . (i) Show that for m>0. (ii) If and 0≤m≤π/2, find m.
Find the probability that a line-A piece has thickness below 117 μm.
Among 15 independently selected line-A pieces, find the probability that exactly 6 have thickness below 117 μm.
A piece is selected from the combined output. (i) Find the probability its thickness is below 117 μm. (ii) Given that its thickness is below 117 μm, find the probability it came from line A.
Line A is adjusted: its mean stays 120 μm but its standard deviation becomes σ>0. Line B and the output proportions are unchanged. The combined probability of thickness below 117 μm is now 0.18. Find σ.
Show that p=0.40 and q=0.25.
Find P(X>2).