Suppose Z ~ N(0, 1). Use the standard Normal table or your calculator to find P(z  -2.30). 1.0.0107 2.0.0099 3.0.9893 4.0.9901 5.0.9898 10.

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Presentation transcript:

Suppose Z ~ N(0, 1). Use the standard Normal table or your calculator to find P(z  -2.30)

Suppose Z ~ N(0, 1). Use the standard normal table or your calculator to determine P(-2.25 < z < 1.77)

What is the 50 th percentile of the standard normal distribution? 1.z = z = z = z = z =

What is the 67 th percentile of the standard normal distribution? 1.z = z = z = z = z =

The SAT scores of incoming NCSU freshmen can be approximated by a normal model with mean 1775 and standard deviation 135 (2400 point scale). What proportion of incoming freshmen score between 1559 and 2072?

The SAT scores of incoming NCSU freshmen can be approximated by a normal model with mean 1775 and standard deviation 135 (2400 point scale). The scholarship office will offer scholarships to students who score in the top 2.28%. What is the lowest score a student can achieve and be eligible for a scholarship?

A box of Extreme Choco Loops cereal is marked “Net Wt. 12 oz.” If the actual weight can be approximated by a normal model with mean 12 oz. and standard deviation 0.2 oz, what is the probability that a box weighs less than 12 oz?

A box of Extreme Choco Loops cereal is marked “Net Wt. 12 oz.” If the actual weight can be approximated by a normal model with mean 12 oz. and standard deviation 0.2 oz, what weight will be exceeded by 2.5% of the boxes? oz oz oz oz. 10

The cholesterol levels of adult American women can be approximated by a normal model with mean 188 mg/dL and a standard deviation of 24. Approximately what cholesterol value is the cutoff for the first quartile of adult American women cholesterol levels?