Consider randomly selecting a single individual and having that person test drive 3 different vehicles. define events a1, a2, and a3 by a1 = likes vehicle #1 a2 = likes vehicle #2 a3 = likes vehicle #3. suppose that p(a1) = 0.55, p(a2) = 0.65, p(a3) = 0.70, p(a1 ∪ a2) = 0.80, p(a2 ∩ a3) = 0.50, and p(a1 ∪ a2 ∪ a3) = 0.84. (a) what is the probability that the individual likes both vehicle #1 and vehicle #2? (b) determine p(a2 | a3). (round your answer to four decimal places.) p(a2 | a3) =

The given dot plot represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september. if the dot plot is converted to a box plot, the first quartile would be drawn at __ , and the third quartile would be drawn at __ link to graph: .

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below.correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance.what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?

Which of the following could be the ratio of the length of the longer leg 30-60-90 triangle to the length of its hypotenuse? check all that apply. a. 313 6 b. 3: 215 c. 18: 13 d. 1: 13 e. 13: 2 of. 3: 15