The life span of a certain insect in days is uniformly distributed over the interval (20,36). What is the probability the insect
will live 24 days or less? Possible Answers a) .24 b) .25 c) .20 d) .75
1 answer:
Answer:
b) 0.25
Step-by-step explanation:
The required probability is ...
(24 -20)/(36 -20) = 4/16 = 1/4 = 0.25
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<em>Comment on the attached graph</em>
The red line is the probability distribution function (pdf) for this uniform distribution. The green line is the cumulative distribution function (cdf) for this uniform distribution. It is the integral of the pdf.
The probability of interest is the value of the cdf at x=24. That value is 0.25, meaning the area under the pdf curve to the left of x=24 is 1/4 of the total area under the pdf curve. That proportion is what is calculated above.
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Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
