I'm having trouble answering these questions for math. I don't understand the concepts.

Help is greatly appreciated!

D Question 7 10 pts Suppose that Juan can choose to get home from work by car or bus. 0 When he chooses to get home by car, he arrives home after 7 pm. 14 percent of the time. c When he chooses to get home by bus, he arrives home after 7 pm. 62 percent of the time. 0 Because the bus is cheaper, he uses the bus 83 percent of the time. What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 pm? 0 96% O 66% o 54% o 12% D Question 9 10 pts Two events are independent. The P(A) = 0.34 and the P(A and B) = 0.085. What is the P(B)? (Express your answer as a decimal) [ ,| Question 3 10 pts Determine if the events are independent or dependent. P(A) = 0.65 P(B) = [ Choose ] 0.25, P(A and B) = 0.40 P(A) = 0.22 P(B) = [ Choose ] V 0.45, P(A and B) = 0.099 P(A) = 0.42 P(B) = [ Choose ] V 0.62, P(A | B) = 0.2604 You roll a pair of [ Choose ] dice at the same time. You choose two [ Choose ] marbles from a bag, without replacement.QUQSln'OR Ll Let A represent going to the movies on Friday and let B represent going bowling on Friday night. The P(A) = 0.58 and the P(B) = 0.36. The P(A and B) = 0.22. Lauren says that both events are independent because P(A) - P(B) = P(A and B) Shawn says that both events are not independent because P(A)P(B) at P(A and B) Which statement is an accurate statement? 0 Shawn is incorrect because the product of the two events is equal to the probability of both events occurring. 0 Lauren is incorrect because the difference of the two events is not equal to the probability of both events occurring. 0 Shawn is correct because two events are independent if the probability of both occurring is not equal to the product of the probabilities of the two events. 0 Lauren is correct because two events are independent if the probability of both occurring is equal to the difference of the probabilities of the two events. D Question 10 10 pts Tyler rolled a six-sided number cube, recorded the results, and then rolled again. What is the probability that the rst roll was an odd number and the second roll was a number less than 3? O 1/4 0 1/6 0 1/8 0 3/8 Question 8 10 pts The probability that VSU and KSU both win a basketball game in the same week is 47%. The probability that VSU wins is 50%. What is the probability that KSU will win given that VSU has already won? O 0.235 O 0.94 O 0.064 O 0.97Question 1 10 pts A box contains cards number 1-10. A card is drawn at random, without replacement, and a second card is drawn. What is the probability that the first number is a multiple of five and the second number is a multiple of three? O 1/15 3/50 O 1/2 O 8/15D Question 2 10 pts A computer technician notes that 45% of computers fail because of the hard drive, 15% because of the monitor, 22% because of a disk drive and 18% because of the microprocessor. If the problem is not because of the disk drive, what is the probability that it is in the hard drive? 0 0.58 o 0.48 o 0.82 o 0.10 Question 5 10 pts Ross has two bags. The first bag has six red, two silver, seven yellow and ten orange coins. The second bag contains four red, twelve silver, five yellow, and three orange coins. What is the probability that he pulls an orange coin from both bags? O 40% 52.5% O 5% O 26.5%D Question 6 10 pts Suppose that among the 5000 students at a high school, 1200 are taking an online class and 1700 prefer watching basketball to watching football. Taking an online class and preferring basketball are independent. How many students are taking an online course and prefer basketball to football? To receive full credit for this response, show or explain your process. You can show your work in this box or attach it to the last question. 12ptv Paragraphv B I Q E