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Normal exampl

# Normal exampl - Normal distribution Examples 1 A physical...

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Normal distribution Examples 1) A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds. A) .5107 B) .0107 C) .4893 D) .9893 2) The amount of corn chips dispensed into a 20-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 20.5 ounces and a standard deviation of 0.2 ounce. What proportion of the 20 ounce bags contain more than the advertised 20 ounces of chips? A) 0.5062 B) 0.9938 C) 0.4938 D) 0.0062 3) The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 2.0 and 4.5 minutes to find a parking spot in the library lot. A) .2255 B) .7745 C) .0919 D) .4938 4) The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.54 ounces and a standard deviation of 0.36 ounce. The company receives complaints from consumers who actually measure the amount of soda in the bottles and claim that there was less than the advertised 12 ounces of soda. What proportion of the soda cans contain less than the advertised 12 ounces of soda? A) .4332 B) .5668 C) .9332 D) .0668 5) The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.36 ounces and a standard deviation of 0.24 ounce. The cans only hold 12.60 ounces of soda. Every can that has more than 12.60 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process?

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Normal exampl - Normal distribution Examples 1 A physical...

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