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The Normal Distribution Select one of the five buttons below to take you to a leveled question regarding the Normal Distribution and the Empirical Rule. Level 1 Level 4 Level 3 Level 2 Level 5 Question – Level 1 The amount of soap dispensed from a machine in a restroom is normally distributed with a mean of 0.05 ounce and a standard deviation of 0.001 ounce. If the machine is used 500 times how many times would it be expected to dispense more than 0.05 ounce? Press Here for the Solution Return to the Home Page of Questions Question – Level 2 A battery’s lifetime is normally distributed with a mean of 500 days and a standard deviation of 61 days. If you have 427 batteries how many would you expect to last between 439 and 561 days? Press Here for the Solution Return to the Home Page of Questions Question – Level 3 A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. How many students are at least 17 years old? Press Here for the Solution Return to the Home Page of Questions Question – Level 4 The incubation period for the eggs of a House Wren is normally distributed with a mean time of 336 hours and a standard deviation of 3.5 hours. What is the probability that an egg will take more than 346.5 hours to hatch? Press Here for the Solution Return to the Home Page of Questions Question – Level 5 The manufacturer of a light bulb is claiming that the life span of the bulb is normally distributed, with a mean of 2000 hours and a standard deviation of 250 hours. You test 50 light bulbs. How many of the tested bulbs lasted less than 1750 hours or over 2500 hours? Press Here for the Solution Return to the Home Page of Questions Solution – Level 1 Return to the Question Return to the Home Page of Questions Solution – Level 2 Return to the Question Return to the Home Page of Questions Solution – Level 3 Return to the Question Return to the Home Page of Questions Solution – Level 4 Return to the Question Return to the Home Page of Questions Solution – Level 5 Return to the Question Return to the Home Page of Questions