1. True or False? A random variable picks up text values
2. True or False? A Bernoulli random variable picks up only two binary values.
3. True or False? A random variable following a Bernoulli distribution is continuous.
4. If the probability that Nana shows up given that Rob does not show up is 0.85 and the probability that Nana shows up given that Rob also shows up is 0.85. Is the event of Nana showing up dependent on the event of Rob showing up?

a. yes, the event is dependent

b. no, they seem to be independent events

c. can't be determined

5. If the probability that Nana shows up given that Rob does not show up is 0.80 and the probability that Nana shows up given that Rob also shows up is 0.85. Is the event of Nana showing up dependent on the event of Rob showing up?

a. yes, the event is dependent

b. no, they seem to be independent events

c. can't be determined

6. In a coin toss game, the probability of getting a heads is 0.5 and that of getting a tails is 0.5. In a toss of coin twice, what is the probability of getting a tails, given that a heads is obtained in the first toss?

a. 0.5

b. 0.25

c. 0.75

d. 1

please give the explanation of your answers. thanks