Binomial Probability Answers

A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. Explain why this is an independent or a dependent event.a.Independent - the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second eventc.Independent - the sample space changes from the first event to the second eventb.Dependent - the first paper clip is replaced, the sample space of 12 paperclips does not change from the first event to the second eventd.Dependent - the sample space changes from the first event to the second event

In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q.A die is rolled 30 times. What is the probability of getting x even numbers?a.Binomial probability; n = 0.5, p = 0.5, q = 30b.Binomial probability; n = 30, p = 0.5, q = 0.5c.Binomial probability; n = 0.5, p = 30 , q = 0.5d.Not a binomial probability

In a randomly generated sequence of 24 binary digits (0s and 1s), what is the probability that exactly half of the digits are 0?a.1352078b.1.295c.0d.0.1612