(a) A manager at a local hospital learnt that during the Friday peak period of 8.00 a. m. – 9.00 a. m. there were, on average, three operations carried out in Ward A. Calculate the probability that on a particular Friday between 08.00 a. m. and 09.00 a. m.: (i) There are three to five operations carried out in Ward A. (5 marks)

(ii) There are at least two operations carried out in Ward A. (5 marks)

(iii) Calculate the standard deviation for this distribution. (1 mark)

(b) A professional basketball player scores 85% of the free throws he tries. Assuming this percentage will hold true for future attempts:

(i) Find the probability that in the next random eight (8) tries, the number of free throws he will score ranges from six to nine. (7 marks)

(ii) Describe the shape of the distribution. Justify your answer.

The table represents a function f(x). what is f(3)? a.-9 b.-1 c.1 d.9

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.

If the average of x, y and z is 15 what is their sum