Statistic problems with normal, poission, exponential, chi-square, gamma distribution.
There are 2 parts. See attached files.
Questions from part 1:
Q1 Find an one order regression line (y=a+bx) to fit the data given in following Table
x |
2 |
3 |
5 |
7 |
8 |
9 |
11 |
13 |
15 |
19 |
y |
20 |
18 |
16 |
15 |
12 |
9 |
13 |
14 |
6 |
4 |
Get coefficients a and b
Find the mean μ_{x}
Find the variance σ^{2}
Q2 Suppose that you arrive at a single-teller office to find three customers waiting in line and one being served. If the service time is exponential with rate 2 minutes, calculate the probability that you will have to wait in line more than 10 minutes before being served. (Gamma)
Q3 A restaurant owner claims the percentage of his customer distribution is
Monday (10%), Tuesday (12%), Wednesday (10%), Thursday (15%), Friday (20%), and Saturday (33%). The restaurant closed on Sunday. IRS auditor’s observation is Monday (20 customers) Tuesday (18 customers), Wednesday (24 customers), Thursday (30 customers), Friday (45 customers), and Saturday (63 customers). Total customer number is 200. Please use 95% confidence Chi-square Table to evaluate the owner’s claim.
Subject | Mathematics |
Due By (Pacific Time) | 04/28/2014 12:00 pm |
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