the (d) If 1.6 thousand gallons are in stock at the beginning of decimal places.
ID: 3355804 • Letter: T
Question
the (d) If 1.6 thousand gallons are in stock at the beginning of decimal places.) week and no new supply is due in during the week, how much thousand gallons 5· ,/6 points DevoreStat9 4E040 An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with -43 and =5.5. (a) What is the probability that yield strength is at most 40? Greater than 647? (Round your answers to four decimal places.) at most 40 greater than 64 b) what yield strength value separates the strongest 75% from the others? (Round your answer to three decimal places.) ksi You may need to use the appropriate table in the Appendix of Tables to answer this question. 6. 12 points DevoreStat9 4.E.069 A system consists of five identical components connected in series as shown: As soon as one components fails the entire system will fail. Suppose each component has a lifetime that is exponentially distributed with are independent events. Let X = the time at which the system fails that is, the shortest minimum lifetime among the five components (a) The event (X 2 ty is equivalent to what event involving A,. As? O A1 U A2 U A3 U A4 U AsExplanation / Answer
Q5.
the PDF of normal distribution is = 1/ * 2 * e ^ -(x-u)^2/ 2^2
standard normal distribution is a normal distribution with a,
mean of 0,
standard deviation of 1
equation of the normal curve is ( Z )= x - u / sd ~ N(0,1)
mean ( u ) = 43
standard Deviation ( sd )= 5.5
a.
P(X > 40) = (40-43)/5.5
= -3/5.5 = -0.5455
= P ( Z >-0.5455) From Standard Normal Table
= 0.7073,
P(X < = 40) = (1 - P(X > 40)
= 1 - 0.7073 = 0.2927
b.
P(X > 64) = (64-43)/5.5
= 21/5.5 = 3.8182
= P ( Z >3.8182) From Standard Normal Table
= 0.0001
c.
UPPER/TOP
P ( Z > x ) = 0.75
Value of z to the cumulative probability of 0.75 from normal table is -0.6745
P( x-u / (s.d) > x - 43/5.5) = 0.75
That is, ( x - 43/5.5) = -0.6745
--> x = -0.6745 * 5.5+43 = 39.2903
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.