1. Speeding: On a stretch of Interstate-89, car speed is a normally distributed

Question

1. Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 67.7 mph and a standard deviation of 4.1 mph.

You are traveling at 73 mph. Approximately what percentage of cars are traveling faster than you? Enter your answer as a percentage with 1 decimal place.

2.Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 68.1 mph and a standard deviation of 3.3 mph.

Suppose you are a police officer on this stretch of road and only have time to ticket 2% of the cars that go by you. How fast should someone be traveling before you pull them over? Round your answer to 1 decimal place.
mph

3. Bass - Samples: The bass in Clear Lake have weights that are normally distributed with a mean of 1.9 pounds and a standard deviation of 0.9 pounds.

(a) If you catch 3 random bass from Clear Lake, find the probability that the mean weight is less than 1.0 pound. Round your answer to 4 decimal places.


(b) If you catch 3 random bass from Clear Lake, find the probability that the mean weight it is more than 3 pounds. Round your answer to 4 decimal places.

Explanation / Answer

Question 1. Mean = 67.7 SD=4.1

P(x>73)= P(z>(73-67.7)/4.1)= P(Z>1.29)

1-P(z<1.29)

From normal distribution table this is 1-0.9015=0.0985

Per Chegg guidelines I have answered first question

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