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A daily simulation has three independent trials. A flagged record earns 7 audit credits and a clear record earns 2. Let X be the day’s total credits. Its possible values are 6,11,16,21. The probabilities for 6 and 16 are respectively 64/125 and 12/125. After n…
For a randomly selected type-R battery find the probability that its duration is (i) below 224 minutes; (ii) between 224 and 242 minutes; (iii) between 224 and 242 minutes given it exceeds 224 minutes.
For type S, P(S<200)=0.30854 and P(200<S<224)=0.62465. Find μ and σ.
For type S, P(S<200)=0.30854 and P(200<S<224)=0.62465. Independently select one battery of each type. Find the probability that at least one lasts more than 224 minutes.
Solve f(x)=g(x) on the stated domain.
Sketch both graphs on one set of axes, labelling all intersections.
The positive intersection x-coordinates are a<b. Find the area enclosed by the curves between a and b.
(i) Find μ,σ. (ii) Find P(15<T<22).
There are 24 registrations. Find (i) the probability that at least 16 attend; (ii) given that at least 16 attend, the probability that more than three fail to attend.
A horizontal pull requires 240 N. Show that A=240.