1. A normal distribution with mean $700 and standard deviation $150 will be used
ID: 3429981 • Letter: 1
Question
1. A normal distribution with mean $700 and standard deviation $150 will be used to model the monthly rental rate for 1 BR apartments in a college town.
a) Use the Empirical Rule to ESTIMATE the percent of 1 BR apartments renting between $550 and $850 per month. %
(b) The probability to the left of $1075 is 0.994. Use this information to answer the following questions.
(i) What is the probability that a 1 BR apartment selected at random will rent for more than $1075?
(ii) What is the probability that a 1 BR apartment selected at random will rent somewhere between $700 and $1075?
2. For the normal distribution shown below, find the probability that an observation falls in the shaded region.
Explanation / Answer
mean $700
standard deviation $150
z score for 550 = -1
z score for 850 = 1
a) percent required = 68.26%
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b) i) 1-0.994 = 0.006
c) 0.494
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2) P(Z>0.67) = 0.2514
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