(d) 0%) Determine if the following scenarios is a mutually exclusive event or not mutually exclusive event. (i) A story book contains fteen pages. You randomly open to a page. The page number is four or ten. (1 mark) (ii) A box of candies contains six red candies and four green candies. Two of the red candies and one of the green candies contains nuts inside. You randomly select a candy to eat. It is a red candy or it contains nuts inside. (1 mark) Peter writes his name on 5 black cards and Parker writes his name on 6 white cards. Illll EIEEEE One of the eleven cards is chosen at random. Find the probability that (i) the letter on the card is R. (1 mark) (ii) the card is white. (1 mark) (iii) the card is white or the letter on the card is R. (1 mark) (iv) the card is white and the letter on the card is P. (1 mark) (v) the card is white and the letter on the card is T. (1 mark) Hazel has a box of sweets with different coloured wrappers. The table below gives the probability of the colour of a randomly chosen sweet. mmwmm "nun-n (i) What is the value of the missing probability? (2 marks) If a sweet is picked randomly from the box, what is the probability that (ii) it will be a sweet wrapped in orange or purple wrapper. (1 mark) (iii) it will not be a sweet wrapped in green wrapper. (1 mark) (iv) it will not be a sweet wrapped in red, pink or blue wrapper. (2 marks) [TOTAL: 25 MARKS] (b) The table below shows the number of books read by 40 students in a given week. WWW Calculate: (i) the mean number of books read in a week. (3 marks) (ii) the standard deviation of the number of books read in a week