course.work X Search Results | Course Hero X + C course.work/#!/students/61cddcdb6caaab00169e30c1/do G course.work My Account Student Log Out C How many languages do you speak? Let's define the random variable X as the number of languages in which a student at UM can carry on a conversation. Suppose the following probabilities reflect the number of languages in which a student at UM can carry on a conversation. X =Number of Languages 2 3 5 6 7 Probability 0.542 0.280 0.071 0.040 0.034 0.028 0.005 Use the probability distribution for X to answer the following questions. Question 8 Subquestions 8.a 1 point(s) Based on these results, what is the probability that a randomly selected student at UM speaks less than 3 languages? O P(X 2) = 0.04course.work X Search Results | Course Hero X + C course.work/#!/students/61cddcdb6caaab00169e30c1/do G course.work My Account Student Log Out C 8.b 1 point(s) Among all UM students who speak 2 or more languages, what is the probability that they speak a total of 4 languages? O P(X = 4| X > 2) = 0.04 P(X = 4 | X 2 2) = 0.458 P(X = 4 | X 2 2) = 0.0873 P(X = 4 |X 2 2) = 0.0393 O P(X = 4| X2 2) = 0.018 8.C TBD Based on the probability distribution provided, if we take a random sample of 650 students, would you be surprised if 78 students in the sample points speak 2 or more languages? Why or why not? No answer entered. Click above to enter an answer. 8.d TBD Assume we take a random sample of 800 students. How many of these 800 students would likely speak only one language based on the probability points distribution provided? Provide reasonable values and explain your results. No answer entered. Click above to enter an answer. 8.e TBD Based on the probability distribution provided, what is a reasonable value for the average number of languages spoken by a student at UM? coursework H Search Results | Course Hero X l + O