A test was given to a group of students. The grades and gender are summarized below Male Female Total . 5 AS27 B542 15 11 9 29 20 14 C If one student is chosen at random from those who took the test, Find the probability that the student got a 'C' GIVEN they are female. Question Help: Video Submit Question Total 31 25 56

Given P(A) = 0.47, P(B) = 0.29, P(A or B) = 0.17, what is P(A and B)?

A survey of 1900 commuters in New York City showed that 1180 take the subway, 650 take the bus, and 170 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway?(b) How many commuters take only the subway?

P(a)=7/10 p(b)=3/5 p(a and b)=? P(a)=13/20 p(a and b)=13/50 p(b)

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A survey of 145 college students was done to find out what elective courses they were taking. Let A=the set of those taking art, B= the set of those taking basketweaving, and C= the set of those taking canoeing. The study revealed the following information.n(A)= 45n(B)= 55n(C)=40n(AnB)= 12n(AnC)= 15n(BnC)= 23n(AnBnC)= 2 How many students were not taking any of these electives?

Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction None Mild Strong Column Total Within 5 Minutes After 5 Minutes 391 65 44 500 66 341 93 500 Row Total 457 406 137 1000 Let's use the following notation for the various events: W= washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)

Explain how you would know whether to use combinations or permutations. You can use examples to make your point.

If P(A) = 0.6 and P(B) = 0.25, and P(A and B) = 0.3, determine P(A or B)

A bank has recently acquired a new branch and thus has customers in this new territory. They are interested in the default rate in their new territory. They wish to test the hypothesis that the default rate is different from their current customer base. The sample 73 files in area A, their current customers, and find that 50 have defaulted. In area B, the new customers, another sample of 89 files shows 68 have defaulted on their loans. What is the Test Statistic to test the Null Hypothesis H0 : pA = pB against the alternative Ha : pA≠ pB?