1. Tallula's Fine Foods produces pickled peppers. They are sold in glass jars with a mean volume of 590 mL and a standard deviation of 25 mL. Calculate the probability that a randomly-chosen jar will have a volume between 568 ml and 593 mL.Give answer as a decimal to 4 places 2. Tallula's beauty product incorporated produces bars of soap. The mass of soap is normally distributed with a mean of 91.7 g and a standard deviation of 4.3g. Calculate the probability that a randomly-chosen bar of soap will have a mass between less than u (mu)-3sigma Give answer as a decimal to 4 places. 3. Tallula medical supplies inc. produces pacemakers. The mass of pacemaker is 60 g. The probability that pacemaker is defective is 25% . The number of defective pacemakers in a fixed number of pacemakers can be modelled by a binomial random variable. Use a. Normal distribution to approximate the probability that in a production run of 75 pacemakers, more than 13 are defective. Give answer as a decimal to 4 places. Remember to use a continuity correction. 4. Tallula's juice Factory produces orange juice in plastic bottles. The volume of the bottles is normally distributed with a mean of 1.450L and a standard deviation of 0.050L. Calculate the probability that a randomly-chosen bar of juice will have a volume between less than 1.519L. Give answer as a decimal to 4 places. 5. The no. Of flaws in Tallula's brand optical cable follows a Poisson distribution with a mean of 1.2 flaws per 50 metres of cable . Use a normal distribution to approximate the probability that 1500 m of cable contains more than 46 flaws.Give answer as a decimal to 4 places. Remember to use a continuity correlation 6 Tallula's beauty product incorporated produces moisturising cream in pump dispensers with volume 750 ml. Stearic acid is main ingredient. The volume of stearic acid in a bottle of moisturising cream is normally distributed with a mean of 55.2 ml and a standard deviation of 1.3 ml. the probability that a randomly-chosen bottle will contain less than a 52.8 ml of stearic acid is given by (z). What is the value of z? Give answer as a decimal to 4 places