Astore manager did a study to determine the amount of money the first 50 customers spent in her store. the data are approximately normally distributed with a mean of $29.60 and a standard deviation of $10.50. the formula for normalizing data is: z= (x−μ / σ) z is the normal score x is a discrete data value μ is the mean σ is the standard deviation determine the probability that a customer spent over $35. enter your answer as a decimal to the hundredths place.

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.