A civil engineering student has delivered a cylinder of concrete for the "concrete strength competition" held between universities. The strength of the student's concrete cylinder is normally dispersed with N(4X0, 9X) kN (write the last number of your student number instead of X). For example, if the last number of your student number is 4, the normal distribution will be N(440.94). The student will compete in the last place in the competition and until that point the two highest strengths in the competition are 500 kN and 350 kN. What are the odds of the student coming second in the competition? The student's cylinder is being tested and under a load of 450 kN the cylinder has shown no signs of breaking. What are the chances of the student winning first place?
A civil engineering student has delivered a cylinder of concrete for the "concrete strength competition" held between universities. The strength of the student's concrete cylinder is normally dispersed with N(4X0, 9X) kN (write the last number of your student number instead of X). For example, if the last number of your student number is 4, the normal distribution will be N(440.94). The student will compete in the last place in the competition and until that point the two highest strengths in the competition are 500 kN and 350 kN. What are the odds of the student coming second in the competition? The student's cylinder is being tested and under a load of 450 kN the cylinder has shown no signs of breaking. What are the chances of the student winning first place?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A civil engineering student has delivered a cylinder of concrete for the "concrete strength competition" held between universities. The strength of the student's concrete cylinder is normally dispersed with N(4X0, 9X) kN (write the last number of your student number instead of X). For example, if the last number of your student number is 4, the normal distribution will be N(440.94). The student will compete in the last place in the competition and until that point the two highest strengths in the competition are 500 kN and 350 kN.
- What are the odds of the student coming second in the competition?
- The student's cylinder is being tested and under a load of 450 kN the cylinder has shown no signs of breaking. What are the chances of the student winning first place?
X =8
Tip: The possible results of this question are within the values given below.
|
0.5775 |
0.5838 |
0.5844 |
0.5793 |
0.5692 |
0.5544 |
0.5356 |
0.5134 |
0.4885 |
0.4616 |
|
0.4607 |
0.4887 |
0.5166 |
0.5443 |
0.5717 |
0.5987 |
0.6251 |
0.6508 |
0.6758 |
0.6999 |
Transcribed Image Text:Question 4) A civil engineering student has delivered a cylinder of concrete for the
"concrete strength competition" held between universities. The strength of the student's
concrete cylinder is normally dispersed with N(4X0, 9X) kN (write the last number of your
student number instead of X). For example, if the last number of your student number is 4,
the normal distribution will be N(440.94). The student will compete in the last place in the
competition and until that point the two highest strengths in the competition are 500 kN
and 350 kN.
a) What are the odds of the student coming second in the competition?
b) The student's cylinder is being tested and under a load of 450 kN the cylinder
has shown no signs of breaking. What are the chances of the student winning
first place?
X =8
Tip: The possible results of this question are within the values given below.
0.5775
0.5838
0.5844
0.5793
0.5692
0.5544
0.5356
0.5134
0.4885
0.4616
0.4607
0.4887
0.5166
0.5443
0.5717
0.5987
0.6251
0.6508
0.6758
0.6999
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