Module 1, Ch 2, Exercises
Enviado por a4b3c2d1 • 4 de Julio de 2014 • 791 Palabras (4 Páginas) • 1.426 Visitas
Student 041201
Module 1, Ch 2, Exercises
2-14
A student taking Management Science 301 at East Haven University will receive one of the five possible grades fro the course: A, B, C, D, or F. The distribution of the grades over the past two years is as follows:
Grade Number of Students
A 80
B 75
C 90
D 30
F 25
Total 300
If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course?
2-16
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn. What is the probability of
(a) a white chip on the first draw?
(b) a white chip on the first draw and a red on the second?
(c) two green chips being drawn?
(d) a red chip on the second, given that a white chip was drawn on the first?
2-19
The Springfield Kings, a professional basketball team, has won 12 of its last 20 games and is expected to continue winning at the same percentage rate. The team’s ticket manager is anxious to attract a large crowd to tomorrow’s game but believes that depends on how well the Kings perform tonight against the Galveston Comets. He assesses the probability of drawing a large crowd to be 0.90 should the team win tonight. What is the probability that the team wins tonight and there will be a large crowd at tomorrow’s game?
2-23
Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection. If the lathe is out of adjustment, however, the probability of a good part being produced is only 0.2. A part randomly chosen is inspected and found to be acceptable. At this point, what is the posterior probability that the lathe tool is properly adjusted?
2-26
The Northside Rifle team has two markspersons, Dick and Sally. Dick hits a bull’s-eye 90% of the time and Sally hits a bull’s-eye 95% of the time.
(a) What is the probability that either Dick or Sally or both will hit the bull’s-eye if each takes one shot?
...