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Suppose that you have 8 cards. 5 are green and 3 are yellow. The 5 green cards are numbered 1, 2, 3, 4, and 5. The 3 yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card. G = card drawn is green E = card drawn is even-numbered a. List the sample space. b. P (G) = c. P (G | E) = d. P (G AND E) = e. P (G OR E) = f. Are G and E mutually exclusive? Justify your answer numerically. Exercise 2 Refer to the previous problem. Suppose that this time you randomly draw two cards, one at a time, and with replacement. G1 = first card is green G2 = second card is green a. Draw a tree diagram of the situation. b. P (G1 AND G2) = c. P (at least one green) = d. P (G2 | G1) = e. Are G2 and G1 independent events? Explain why or why not. Exercise 3 Refer to the previous problems. Suppose that this time you randomly draw two cards, one at a time, and without replacement. G1= first card is green G2= second card is green a. Draw a tree diagram of the situation. b. P (G1 AND G2) = c. P(at least one green) = d. P (G2 | G1) =
Compute the mean median, and mode
Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.
And the rest of the people were from River City. Out of the sample, 19 people had some form of cancer. Thirteen of these people were from Laketown
first save this file to your computer. answer each of the following questions then resave the file along with your
Determine and interpret the sensitivity of mammography.
The researchers used the available survey data and summarised the nature of the car accidents and if a mobile phone was being used by the driver either during (or immediately before) the accident
Derive the expression for the PDF of X
Has there been a statistically significant change in the mean length of the bars?
Discuss the importance of obtaining a random sample.
A passage that contains a rhetorical fallacy
A sample of 9 production managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000.
Develop a second decision tree for Sonny and his team to reflect this new option of hiring the research firm prior to the possibility of developing the app
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