Statistics and Probability

The NIH is creating a test for the Zika virus. The incidence of a Zika is low, 5 percent in the general population. There is a trial version, but it sometimes misses the disease. The probability of a false negative is 3 percent. Similarly, someone who does not have Zika, will sometimes get a positive reading. The probability of this is 10 percent. Fill in the tree diagram and ... Answer in percent to 2 decimal places. Marginal Conditional Probabilities Probabilities Joint Probabilities P(positive | D) P(D and positive) False negative P(D) P(negative | D) P(D and negative) False Positive P(no D) P(positive | no D) P(no D and positive) P(negative | no D) P(no D and negative) Calculate the probability that a positive test result means someone has Zika. An urn contains 5 blue, 7 yellow, and 3 gray marbles. Two marbles are randomly drawn from the N urn. Find the probability the two marbles are the same color. A survey of 147 persons was conducted at TCC, and it was found that 21 persons carried a W cell phone, 91 persons carried a tablet computer, and 3 carried both a cell phone and a tablet. a. How many people carried a cell phone or a tablet? b. How many people carried neither a cell phone nor a tablet? c. How many people carried a cell phone only? d. How many people carried a tablet but not a cell phone? A survey was conducted at a local ballroom dance studio asking students if they had ever competed S in the following dance categories: Smooth Rhythm Standard The results were then presented to the owner in the following Venn Diagram. Smooth Rhythm O 11 14 18 10 Standard 15 If a student is chosen at random, what is the probability that: Write your answers in percent form. Round to the nearest tenth of a percent. a) The student has competed in none of the categories?% b) The student has competed in all three of these categories?% c) The student has competed in Smooth or Standard, but not Rhythm?% d) The student has competed in Rhythm and Standard, but not Smooth?% e) The student has competed in Rhythm.%