# Among all monthly bills from a certain credit card company, the mean amount billed was \$485 and…

Among all monthly bills from a certain credit card company, the mean amount billed was \$485 and the standard deviation was \$300. In addition, for 15% of the bills, the amount billed was greater than \$1000. A sample of 900 bills is drawn.

a. What is the probability that the average amount billed on the sample bills is greater than \$500?

b. What is the probability that more than 150 of the sampled bills are for amounts greater than \$1000?

Bags checked for a certain airline flight have a mean weight of 15 kg with a standard deviation of 5 kg. A random sample of 60 bags is drawn.

a. What is the probability that the sample mean weight is less than 14 kg?

b. Find the 70th percentile of the sample mean weights.

c. How many bags must be sampled so that the probability is 0.01 that the sample mean weight is less than 14 kg?

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