statistics

.Questionz . | Suppose that the random variable 2, shown below, represents the number of speeding tickets a person received in a three-year period. 13(2) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. I) What is the probability that a randomly selected person has received ve tickets in a three-year period? \"use: b) What is the probability that a randomly selected person has received four tickets in a three-year period? Pu==[:::::::j c) What Is the probability that that a randomly selected person has received more than four tickets In a three~year period? \"we: (I) What is the probability that that a randomly selected person has received one or less tickets In a three-year period? Page: 3. A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the probability that at least one will have a defect? 4. Suppose a jar contains 15 red marbles and 27 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. 5. Suppose that the value of a stock varies each day from $8.82 to $24.17 with a uniform distribution. Find the upper quartile; 25% of all days the stock is above what value? (Enter your answer to the nearest cent.) 6. The lengths of a runners workout has a continuous uniform distribution between 49.29 min and 55.55 min. If one such workout is randomly selected. find P5. Suppose that a box contains 6 cameras and that 5 of them are defective. A sample of 2 cameras ls selected at random. Define the random variable X as the number of defective cameras in the sample. Write the - robablli distribution for X