Question 29 (Mandatory) (3 points) The probability distribution of the number of patients ( X) with headsthe at a clinic in a day is to follows x 10 1 2 3 P(x) 10.11 0.41 10.24 0.18 10.06 Determine the mean of the random variable X O 2.50 O1.08 1.67 O 2.00 1.20 Question 30 (Mandatory] (3 points) The probinlily deanbulion of the number of patients (X) with be 10 2 13 P() 10.11 0.41 0.24 10.18 10.06 Determine the standard deviation of the random variable X. 1.08 O 250 120 O187 2.00 Question 31 (Mandatory) (4 points) Suppose you are dealt (dealt implies without replacement) 2 cards from a shuffled deck of 52 cards. What is the probability you were dealt 2 out of the 10 spades? 0.0755 0.0588 0.0625 0.0577 O0.0633