Question 1 J In a standard normal curve, if P(z > k) = 54.38% then find the value of k. Question 2 2 Points A radar unit is used to measure the speed of cars at NLEX. NLEX records show that the measures of speed are normally distributed with a mean of 94 km/hr and a standard deviation of 12 km/hr. The speed of the top 15% drivers are considered over speeding and are apprehended. Therefore, for a driver of the car to be charged of over speeding, his speed should be a minimum of Blank 1 km/hr. Round off your answer to two (2) decimal places. Blank 1 Add your answerQuestion 3 A random variable X has the following probability distribution: III\" Find the value of k. Express your answer In 2 decimal places. k = Blank 1 Blank 1 Add your answer Question 4 Three marbles are in a jarone white, one blue and one green. Two marbles are picked one at a time with replacement. Let)! be the number of blue marbles picked. Construct the probability distribution by matching random variable to its corresponding probability. Prowl: Submitted Answers 0 1 O 213 2 H9 3 419 ' 5/9 Question 5 not a random variable Question 5 2 Points Two call center agents are considered to be awarded as "Employee of the Month." The team leader will base selection from the data given by the human resource office. The table shows the Probability of each employee to address and resolve a number of calls per week. Employee A number Probability of Employee B number Probability of of resolved calls per resolving X calls in a of resolved calls per resolving Y calls in a ... week week week week (X) P(X) (Y) P(Y) 5 0.16 5 0.20 10 0.33 10 0.25 15 0.25 15 0.22 20 0.20 20 0.21 25 0.06 25 0.12 If the team leader will give the "Employee of the Month" award to the employee with the highest expected resolved calls in a week, then Blank 1 (Employee A or Employee B) is to be awarded "Employee of the Month." But in terms of consistency, Blank 2 (Employee A or Employee B) is more consistent with the number of resolved calls in a week. Blank 1 Add your answer Blank 2 Add your answerSHOW YOUR COMPLETE SOLUTION. MUCH BETTER IF YOU'LL WRITE THE SOLUTION ON A PAPER