Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of cards (which is made up of hearts, spades, diamonds, and clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of 16 cards and gotten her suit guesses for each. Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card.
(A) Est the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (ie.,the expectation of the relevant random variable).Do not round your response(b) Quantify the uncertainty of your est by giving the standard deviation.