WoodenTwistmanufactures wooden turntables for different retailers. The number of days it takes to manufacturea wooden table as per the requirement and the probability that it will take that number of days are in the table. (Refer the Dataset 'Wood') a.) State the random variable. (1 mark) b.) Draw a histogram of the number of days to manufacture a table (1 mark) c.) Find the mean number of days to manufacture. (1 mark) d.) Find the variance for the number of days to manufacture. (1 mark) e.) Find the standard deviation for the number of days to manufacture. (1 mark) f.) Find probability that a lens will take at least 15 days to make a table. (1 mark) g.) Is it unusual for a lens to take 15 days to make a table? (1 mark) h.) If it does take 15 days, what would you think? (1 mark) A 1 Number of Days 2 WN 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 1234 2 467 5 8 10 11 12 13 14 15 16 == 17 18 B Probabilities in Percentages 24.5 13.1 3 11.23 10.8 7.01 10 3.76 4.6 1.9 0.7 0.3 0.4 0.1 2.3 1.2 4.5 0.6 C