17) Find the mean of the distribution shown. X 1 2 P(X) 0.32 0.68 17) A) 0.50 B) 1.17 C) 1.50 D) 1.68 18) Compute the probability of X successes. n = 4, X= 3, p = 0.1 18) A) 0.004 B) 0.1 C) 0.750 D) 0.996 19) If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices. A) 0.190 B) 0.218 C) 0.085 D) 0.162 19) 20) A coin is tossed five times. Find the probability of getting exactly three heads. 20) A) 0.125 B) 0.313 C) 0.156 D) 0.800 21) The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 12 adult dogs is studied. What is the mean number of dogs who weigh 65 1b or more? A) 12 B) 1.7234 C) 5.4 D) 2.97 21) 22) A multiple choice quiz consists of 100 questions, each with 4 possible answers. Find the mean for the number of correct answers, if a student guesses on each question. 22) A) 96.0 B) 4.0 C) 25.0 D) 50.0 23) A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed. A) 6.78 B) 36 C) 18 D) 4.24 23) 24) Find the sample standard deviation for the following data set: 23 27 12 17 16 24) A) 28.4 B) 35.5 C) 6 D) 5.3 25) According to Chebyshev's theorem, the maximum proportion of data values from a data set that are more than 1.5 standard deviations from the mean is A) 0.67 B) 0.17 C) 0.44 D) 1.33 25) 6B) Number of Heads X 0 123 4 Probability P(X) 1 1 3 1 1 16 8 4 16 4/8 3/8 Probability 2/8 1/8 0 0 Number of Heads 4 C) Number of Heads X 10123 4 Probability P(X) 1 1 3 1 1 16 4 8 4 16 4/16 3/16 Probability 2/16 1/16 0 0 Number of Heads 4 D) Number of Heads X 01 2 3 4 Probability P(X) 1 131 8 8 4/16 3/16 Probability 2/16 1/16 0 0 2 3 4 Number of Heads UT