STATS 250 Lecture 9: STATS 280 NOTES 10:6

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tanlocust856

13 Feb 2017

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P(a) = # (cid:3042)(cid:3033) (cid:3046) (cid:3002) (cid:3030)(cid:3041) (cid:3043)(cid:3043)(cid:3032)(cid:3041) P(a | b) = (cid:4666)(cid:3002) (cid:3041)(cid:3031) (cid:3003)(cid:4667) (cid:4666)(cid:3003)(cid:4667) P(a and b) = p(b)*p(a | b) = p(a)*p(b | a) P(a or b) = p(a) + p(b) p(a and b) Independence: a and b are independent if: Mutually exclusive: a and b are mutually exclusive if. P(2nd card is a king) = 4/52. Alternative: p(1st is a king)*p(2nd is a king | 1st is a king) + p(1st is not a king)*p(2nd is a king | 1st is not a king) P(2nd is king) = p[(2nd is king and 1st is king) or (2nd is king and 1st is not king)] = p(2nd is king and 1st is king) + p(2nd is king and 1st is not king) =p(1st is king)*p(2nd is king | 1st is king) + p(1st is not king)*p(2nd is king | 1st is not king) Say you roll two dice what is: p(either is 2)

Related Questions

Suppose that the probability of being tutored in Statistics is 0.55, while the probability of being tutored in Physics is 0.32, and the probability of being tutored in both Statistic and Physics is 0.09.

(a) What is the probability of being tutored in Statistics or Physics?

(b) What is the probability of not being tutored in Statistics nor Physics?

Explain.

A random sample of soil specimens was taken from a large geographic area. The specimens can be assumed to be independent. The amount of organic matter, as a percent, was determined for each specimen. The data are below:
0.14, 0.32, 1.17, 1.45, 3.5, 5.02, 5.09, 5.22
A soil scientist wants to know whether the population mean percent organic matter is different than 4%. A
significance level of α = 0.05 is chosen.

1. (a) State hypotheses appropriate to the research question.
2. (b) Graph the data as you see fit. Why did you choose the graph(s) that you did and what does it (do they) tell you?
3. (c) Regardless of your conclusion from (b), use the bootstrap to perform a test of the hypotheses you stated in (a). Use B = 8000 resamplings. Compute the p-value, and make a reject or not reject conclusion. Then state the conclusion in the context of the problem. In other words, does it seem the mean organic matter level is different than 4%?
4. (d) Regardless of your conclusion from part (b), use a T -test to perform a test of the hypotheses you stated in (a). Compute the p-value, and make a reject or not reject conclusion. Then state the conclusion in the context of the problem. In other words, does it seem the mean organic matter level is different than 4%?. (I recommend doing this part with a hand calculator and statistical tables as practice for exam conditions, but you may check your answers using R if you wish.)
5. (e) Compare your answers from parts (c) and (d). Which method do you think is better? Are you surprised at the similarity or dissimilarity? What do you think explains this?

cyaneagle689

A from with unlimited funds must evaluate five projects. Projects 1 and 2 are independent and project 3,4, and 5 are mutually exclusive. The projects are lited with their returns.

A ranking of the projects on the basis of their returns from the best to the worst according to their acceptability to the firm would be.............

A ranking of the projects on the basis of their returns from the best to the worst according to their acceptability to the firm would be........

(a) 4, 1, 2 or 5, and 3

(b) 4, 1, and 2

(d) 4, 1, 5, and 3

sangriabee527

STATS 250 Lecture 9: STATS 280 NOTES 10:6

STATS 250 Full Course Notes

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