Permutation versus combination: With a permutation: (order matters): Think of Permutation as Position With a combination: (order does not matter): Think of Combination as Committee. For example, evaluate: P 53 = P22,6 = C53 = C 22,6 =Part 2: Find the following probabilities. (Round all answers to 2 decimal points.) Problem #1: Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false results. 3] Fill in the table below: Screening for Marijuana Use Positive test result Negative test result TOTAL Subject uses Marijuana Subject does not use Marijuana TOTAL by How many subjects are included in the study? c) How many subjects did not use Marijuana? d) Find the probability that a randomly selected subject did not use Marijuana? el Find the probability of selecting a subject who had a positive test result or uses Marijuana._ Are these events disjoint or not disjoint ? f) Find the probability of selecting a subject who had a negative test result or does not use Marijuana. Are these events disjoint or not disjoint ?Part 2: solve the following problems. (Round to 3 decimals] Problem #2: 2. Which of the following cannot be a probability? A. 1/2 B. 0 C. 1 D. -1 Problem #3: in a genetics experiment on peas, one sample of offispring contained 364 green peas and 284 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green? Problem #4: If you drew one card from a standard deck, would it be "unusual" or "usual "to draw a 52. Thinking process* : What is the total number of cards ? _ (this is your sample space) How many 5 are in the deck of cards ? (this is the number of outcome) What is the Probability of randomly selecting a 5? is this number less than 0.05 ? Problem #5: 1010 United States adults were surveyed and 202 of them were smokers. It follows that: P(Smoker)= P( Not a smoker]=_ Problem #6: The Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.428. Find the probability that in a given year it will not snow on January 1st in that town. Instructor. A. Emerick Chapter 4: Class Worksheet Due: Sunday 10/10 A) D.748 B) 2.336 C) 1 428 D) 0.572Problem #2: The data below lists drive-thru order accuracy at popular fast food chains. Mcdonald's Burger King Taco Bell Wendy's TOTAL Order Accurate 329 264 249 145 Order Not Accurate 33 54 31 13 TOTAL If two orders are selected, find the probability that they are both from Taco Bell: (round to 4 decimals] 3) Assume the selections are made with replacement. Are the events Independent? bj Assume the selections are made without replacement. Are the events Independent? If two orders are selected, find the probability that they are both Not Accurate: (round to 4 decimals) aj Assume the selections are made with replacement. Are the events Independent? by Assume the selections are made without replacement. Are the events Independent