Question

STA2023-TR 12.30-1451s8) Spg 2019 (2192 204 Suppose that we've decided to test Clara, who works at the Psychic Cenber, to see if she really has psychic abilities. While talking to her on the phone, we thoroughly shuffie a standard deck of 52 cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We ask Cars to name the suit (heart, spade, diamond, or dub) of the card we drew. Alter getting her quess, we'l returm the card to the deck, thoroughy shuffle the deck, draw another card, and get her guess for the sit of this second card, we'l repeat this process until we've down 츄 total of 14 guesses for each. ds and ten her sut Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card. a. Estimate the number of cards in the sample for which Clara cormectly guesses the suit by giving the mean of the relevant distributien (that is, the expectation of the relevant random variable). Do net round your response b. Quaneity the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places (1f necessary, consut a ist of formulas) 3

Answer 1