F. Use Table It to nd each oftlte following. ln each case. draw a standard nomral distribution with the area of interest shaded. a] F'r'Z 1* 1.\"; b} Tlte value : such that 35% of' all observations are greater than :. E. A fast-food restaurant has just installed a new automatic ketchup dispenser for use in preparing its burgers. The amount ofketcltup dispensed by the macltine follows a normal distribution with mean 1.115 uid ounces and standard deviation {LUIS uid ounce. a} If'the restaurant's goal is to put between 1 and LI fluid ounces of ketchup on each burger. what percent ofthe time will this happen? Show your work. b} Find the 99'\" percentile of the distribution of amount of ketchup dispensed by the machine. Practice Test 1. An ecologist studying starsh populations records values for Cl'I oftlte following variables from randomly selected plots on a rock).r coastline. X= The number of'start'ish in the plot l"= The total weight of starfish in the plot W = The percent ofarea in the plot that is covered by barnacles ta popular food for starfish] T= The primary type of rock in the plot How man).r ofthese are continuous random variables and how many are discrete random variables? a] Two continuous, two discrete b} l[Zine continuous. three discrete c] Two continuous, one discrete. and one that is not a random variable d} lIiillne continuous. two discrete, and one that is not a random variable 2. I|I.'v."'hich of the following is closest to the 28'\" percentile in the standard nomral dislrihution'.J a} 41.52 in use cl ass a} as] 3. A hat holds a large number ofslips of paper. each with a single digit from 1 to 4 on it. Which one ofthe following is a possible probability distribution for X = the number of a randomly selected slip ofpaper'.'I 4. A private school has 25 students in each of grades 1 through 12. The principal randomly selects I student om each grade and records whether or not the student is over 5 feet tall. Let Jr'= the number of students in the sample who are over 5 feet tall. Which of the following requirements for a binomial setting is violated in this case'? a] There are two possible outcomes for each trial. b} The trials are independent. c] The probability of \"success\" is the same for each trial. d} The mrmber oftrials is xed