Suppose that the foot length of a randomly chosen adult male s a normal random variable with mean u = 11 and standard deviation o = 1.5. With this information complete the following. 1. Sketch the probability distribution. Click to view hint 2. What is the probability that a randomly chosen adult male will have a foot length between 8 and 14 inches? P(8 v) = 0.025 Click to view hint 14 5. What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8

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Empirical Rule: Real World Examples
Suppose that the foot length of a randomly chosen adult male s a normal random variable with mean u = 11
and standard deviation o = 1.5. With this information complete the following.
1. Sketch the probability distribution. Click to view hint
2. What is the probability that a randomly chosen adult male will have a foot length between 8 and 14 inches?
P(8 <r < 14) =
♥ % Click to view hint
.95
V or
95
3. An adult male is almost guaranteed (0.997 probability) to have a foot length between what two values?
P 6.5
V <r<
) = 0.997 Click to view hint
15.5
4. The probability is only 2.5 % that an adult male will have a foot length greater than how many inches?
P(r > 14
V) = 0.025 Click to view hint
5. What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches?
P(8 <r < 12.5) =
x or
x %. Click to view hint
Objective Check
Transcribed Image Text:Empirical Rule: Real World Examples Suppose that the foot length of a randomly chosen adult male s a normal random variable with mean u = 11 and standard deviation o = 1.5. With this information complete the following. 1. Sketch the probability distribution. Click to view hint 2. What is the probability that a randomly chosen adult male will have a foot length between 8 and 14 inches? P(8 <r < 14) = ♥ % Click to view hint .95 V or 95 3. An adult male is almost guaranteed (0.997 probability) to have a foot length between what two values? P 6.5 V <r< ) = 0.997 Click to view hint 15.5 4. The probability is only 2.5 % that an adult male will have a foot length greater than how many inches? P(r > 14 V) = 0.025 Click to view hint 5. What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 <r < 12.5) = x or x %. Click to view hint Objective Check
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