The retail price of a medium-sized box of a well-known brand of cornflakes ranges from $3.17to $3.60. Assume these prices are uniformly distributed.

Values are uniformly distributed between 184 and 264. *( Round your answers to 3 decimal places, as. 0.253.} \"(Round your answer to 1 decimal place, as. 1.2.) (a) What is the value of x) for this distribution? * (b) Determine the mean of this distribution: ** (c) Determine the standard deviation of this distribution: * (ti) Probability of (x > 248) = = (e) Probability of (192 sx s 236] = a (f) Probability of (x s 204) = a The retail price of a medium-sized box of a well-known brand of cornakes ranges from $3.17 to $3.60. Assume these prices are uniformly distributed. "(Round your answer to 3 decimal places, e3. 2.531.) \"*(Round your answer to 4 decimal places, 3.3. 0.2531.) (3] What is the average price in this distribution? |:| ** (b) What is the standard deviation of prices in this distribution? |:| ** (c) If a price is randomly selected from this list, what is the probability that it will be between $3.36 and $3.44? According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this gure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed. {a} What proportion of tax returns show a refund greater than $2,100? (b) What proportion of the tax returns show that the taxpayer owes money to the government? ((2) What proportion of the tax returns show a refund between $150 and $620? (Round the values of: to 2 decimal places, ea. 2.53. Round your answers to 4 decimal places. 8.3. 0.2531.) (3) Plx > $2,100) = (b) P(x