Accept that the time (in hours) until disappointment ot a semiconductor is an irregular variable X

(a) Find the likelihood that 15.

(b) Find the likelihood that X > 110.

EXP(IOO).

(c) It is seen following 95 hours that the semiconductor actually is working. Track down the contingent likelihood

that X > 110. How does this contrast with (a)? Clarify this outcome

(d) What is Var(X)?

34..

The snrar strength (in pounds) ot a spot weld is a Weibull appropriated arbitrary variable, X

wagoo, 2/3).

(a) Find PIX> 410].

(b) Find the contingent likelihood hatchet > 410 | X > 390]

(c) Fit-ld E(X)_

(d) Find Var(X).

35..

The distance (in meters) that a om hits trom the middle ot an objective region is an arbitrary variable X

WEI(IO, 2).

(a) Find the likelihood that the om nits in any event 20 meters trom the middle ot the objective

(b) Sketch the grapn ot the pdt ot X

(c) Fit-ld E(X) and var(X).

36..

The RocQeIl hardness ot a metal example is controlled by dazzling the outside of the

example witn a solidified point, and afterward estimating the profundity ot penetratiom The hardness ot a

certain combination is typically circulated witn mean ot 70 units and standard deviation ot 3 units.

(a) It an example is adequate just it its hardness is beeen 66 and 74 units, what is the

likelihood that a haphazardly picked specmen is adequate?

(b) It the worthy reach is 70 c, peak what esteem ot c would 95% ot all examples be

satisfactory?