What is the probability that an engine is unacceptable and that it was

# What is the probability that an engine is

This preview shows page 2 - 9 out of 9 pages.

6.What is the probability that an engine is unacceptable and that it was manufactured eithe a)0.04%b)3.93%c)67.86%d)71.79%P(U ∩ [M1 M2) ] = P(U ∩ M1) + P(U ∩ M2) = 30/1400 + 25/1400 =55/14
efective?
ured at M1 or M2? ptable? er at factory M1 or M2? 400
Questions 7-13 joint D 0.1 nD 0.9 A/D 0.1 0.01 B/D 0.2 0.02 C/D 0.7 0.07 A/nD 0.6 0.54 B/nD 0.3 0.27 C/nD 0.1 0.09 P(A) 0.55 P(B) 0.29 0.16 7) b) 0.16 P© 8) c) 0.84 P(AorB) 9) e) 0.4375 10) c) 0.0563 0.5625 11) c) 0.9437 0.05631351 12) c) 0 P(A) 0.8 P(D) 0.05 13) a) 0.76
Questions 14-19 Last year Days 3 Shots 2 Value 5000 Answer Shots/day 0.6666667 lambda 14) c) Expected rev 3333.3333 15) b) Poisson 0.1443048 right 0.1140927 wrong 16) e) SD=sqrt(lambda)*\$ 4082.4829 17) d) 2*SD 8164.9658 18) c) Risk of 4 days 0.6123724 Risk of 1 day 1.2247449 Ratio 2 even if they get the SD wrong in (3), this answ 19) c) Rev-Cost 11333.333
wer should be OK
Questions 20-29 20. Given n 7 p 0.75 Solution: d 21. Expected Value Binomial, therefore: E(X)=np 5.25 1.75 Solution: b 22. Standard Deviation q 0.25 sd 1.14564392 Solution: b 23. Probability x 3 p(x=3) 0.058 0.058 Solution: b 24. Approach Solution: Poisson c) 25. Probability - 5 min l 6 x 1 p(x=0) 0 0.002 p(x=1) 1 0.015 0.017 Solution: 0.017 c) 26. Probability - 2 min l 2.4 x 3
p(x=0) 0 0.091 p(x=1) 1 0.218 p(x=2) 2 0.261 p(x=3) 3 0.209 0.779 0.779 Solution: 0.221 c) Normal Question 27. Given: x 7.5 mu 7.2 sd 2.3 Solution: c 28. z calculationa0.130b-0.130c-3d3

#### You've reached the end of your free preview.

Want to read all 9 pages?

• Fall '05
• EL
• Probability theory, Hungary, M3 Half-track, M2 Browning machine gun