Looking at histogram below you can see the random variable X is symmetric with mean 0 and median 0 Histogram of a variable X -5 -4 -3 -2 -1 0 1 2 3 4 5 What can you work out using the fact that X= - 3.56 is the 8.86 th percentile O a. None of the other choices are correct O b. 5.86% are less than -3.56 so11.86% are more than 3.56 and the middle 84.28 are between -3.56 and 3.56 O c. 11.86% are less than -3.56 so5.86% are more than 3.56 and the middle 81.28% are between -3.56 and 3.56 O d. 8.86% are less than -3.56 908.86% are more than 3.56 and the middle 82.28% are between -3.56 and 3.56 What is the population standard deviation of the numbers generated by the MS excel command = RANDARRAY(100,200,97,98,1} Hint the numbers have the distribution Casino profit X 97 98 Probability P(X) 0.5 0.5 also the population mean u =97.5 O a. 352.20 O b. None of the other options is correct O c. 351.20 O d. 349.20The daily demand for a group of Petrol stations has mean 141000L with standard deviation 10000L . What is the z-score on a day when the demand is 164000L O a. 17.30 O b. 12.00 O c. 0.30 O d. 2.30 Consider the following two way table Would buy Would not buy Total Sample proportion that would buy Male 710 290 1000 A Female 50 50 100 10.5 what is the value of A O a. 0.71 O b. None of the other choices is correct O c. 0.95 O d. 2.45