1.) A set of exam scores is normally distributed and has a mean of 76.6 and Standard deviation of 8.7. you choose a random score from the data set and the probability of getting a score less and or equal to this is 0.7939. what is the test score randomly chose? 2.)For standard normal distribution, find: P(z>-0.84) 3.)Suppose your manager indicates that for a normally distributed data set you are analyzing your company wants data points between z=-0.5 and z=0.5 standard deviations of the mean. What percent of the data points will fall in that range? 4.) A particular fruits weights are normally distributed with a mean of 441 grams and a standard deviation of 8 grams. If you pick one fruit at random, what is the probability that it will weight between 429g and 442g. 5.) A manufacturer knows that their items have a normally distributed lifespan with a mean of 3 years, and standard deviation of 0.8 years. If you randomly purchase one item what is the probability it will last linger than 3 years