In the following random experiment, decide whether the random variable X is binomial or not:A sample of 4 cards is selected without replacement from a standard deck of 52-cards, in which there are 26 red and 26 black cards. Let X be the number of cards that are red. Binomial Not binomial

In the following random experiment, decide whether the random variable X is binomial or not:Approximately 1 in 10 people are left-handed. Let X be the number of people that are left-handed out of a random sample of 200 individuals. Although the individuals are sampled without replacement, it is assumed that we are sampling from such a vast population that the selections are virtually independent. Binomial Not binomial

Four cards are drawn, without replacement, from a deck of 52 cards. Write the probability distribution for the number of red cards drawn

Suppose that a card game uses a special deck of cards made of 30 cards, with 6 of them being each of 5 different colours, one of which is red. For examples there are 6 red cards, 6 green cards and so on for each colour.Suppose you randomly pick 2 cards from the deck without replacement.What is the probability that neither card is red?

4 cards are drawn at random (without replacement) from a pack of 52 cards. Find the probability that, 2 are black and 2 are red. (Enter the answer correct to two decimal places)

A binomial experiment with probability of success =p0.77 and =n6 trials is conducted. What is the probability that the experiment results in 4 or more successes?