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Warm-Up Honors Algebra 2 3/27/19
The length of time it takes a teenager to respond to a Facebook update is (surprisingly) normally distributed with a mean of 4 hours and standard deviation of 23 minutes. What is the probability that a recorded time will not be in between 217 and 286 minutes?
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Example……Find the area under the curve between z = 0 and z = 1.52.
Look up z = 1.52 The area between z = 0 and z = 1.52 is
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You try…Find the area between z = 0 and z = 2.34.
Answer: .4904
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Find the area between z = 0 and z = -1.75.
Answer: .4599
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Find the area to the right of z = 1.11
Answer: whole is 1. Look up z = 1.11 to get an area of Final Answer: 1 – = 0.8665 1.0
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Now you try…… Find the area to the left of z = -1.93. Answer: 0.0268
Compare results with a neighbor, I walk around to keep on task.
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Find the area between z = 2.00 and z = 2.47.
Look up z = 2.47 to get Look up z = 2 to get Subtract the two areas: – = How can we do this? What should I do first? (Draw & Shade)
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You try…… Find the area between z = -2.48 and z = -0.83.
Answer: – =
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Find the area between z = -1.37 and z = 1.68.
The area for z = 1.68 is The area for z = =1.37 is Add the two areas together for the final answer: =
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Find the area to the left of z = 1.99.
The area for z = 1.99 is 0.9767
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Find the area to the right of z = -1.16.
The area for z = is The area for the entire distribution is 1.00. Subtract the areas : =
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Find the area to the right of z = 2.43 and to the left of z = -3.01.
The area for z = 2.43 is 1 – = The area for z = is Add the two areas together: =
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