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 ask Clara to name the suit (heart, spade, diamond,clubs) of the cards we drew. After getting her guess , we'll return the card back to the deck, thoroughly shuffle the deck, draw another card, and get her to guess for the suit for the second card. We'll repeat this process until we've drawn a total of 15 cards and gotten her suit guesses for each. Assume Clara is not clairvoyant, this is, assume that she randomly guesses each card. Answer the following a ). Estimate the number of cards in the sample which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the revelant random variable). Do not round your response. (b). Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least 3 decimal places.