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Q1) Which of the given can't be a probability?
i) 0
ii) 001
iii) -49
Q2) We have binomial experiment with p = .8 and n = 2.
1) Set up probability distribution by illustrating all x values and their associated probabilities.
i) List sample space of tossing a fair coin.
ii) Some students were asked if they carry credit card. Here are the responses.
Class
Credit Card Carrier
Not a Credit Card Carrier
Total
Freshman
33
27
60
Sophomore
6
34
40
39
61
100
Determine the probability that student is and does not carry a credit card?
A sample of n observations is taken from a population. When performing statistical inference about a population variance, the appropriate chi-square distribution has:
Create a 95% confidence interval for the population mean days absent for sickness based on this sample. Select the answer closest to your results.
Die with 4 sides {1, 2, 3, 4} is tossed 2 times. Let X equal maximum of two observations and let Y equal minimum. Determine joint pmf of X and Y, and correlation coefficient. Are X and Y independent?
Determine the standard deviation of difference between Sarah's and Richard's scores?
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
This model is fit to the data using the method of least squares using statistical software, and the following parameter estimates and their standard errors are obtained.
The number of passengers on the Carnival Sensation during one-week cruises in the Caribbean follows the normal distribution.
If a technical breakthrough occurred that raised the profit per unit of X 1 to $3, would this affect the optimal solution?
At the 0.10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
If she has chosen the first weeks rides, how many ways can she choose four more different rides for the second week? Assume that order does not matter.
Write introduction to SPC (STATISTICAL PROCESS CONTROL)? Describe the use of SPC tools used at D2D?
One state lottery has 1000 prizes of $1, 200 prizes of $5, 50 prizes of $25, 15 prizes of $150, 4 prizes of $500, and 1 prize of $2500. What is the lottery expected profit per ticket?
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