The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose ? = 2.7 and ? = 220.(a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to four decimal places.) at most 250, less than 250, more than 300.
(b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.)
(c) What value is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.)hr

Step-by-step explanation:

Given that

,

The weibull distribution with parameters

where

Then,

A) The probability that a specimen's lifetime is at most 250 is

The probability that the specimen's life time is more than 300 is

= 0.0992

b)The probability of the specimen's lifetime is between 100 and 250

c) The value such that exactly 50% of all specimens have lifetimes exceeding that value is

x = 192.07

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.