# Project #29050 - Probability and Statistics Homework Problems

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

1. Get coefficients a and b

2. Find the mean μx

3. Find the variance σ2

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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