A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 163.8-cm and a standard deviation of 1.7-cm. Find the probability that the length of a randomly selected steel rod is between 167.4-cm and 167.7-cm. P(167.4-cm < X < 167.7-cm) =
1. A company produces steel rods. The lengths of the steel rods are
Find the probability that the length of a randomly selected steel rod is between 167.4-cm and 167.7-cm.
P(167.4-cm < X < 167.7-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
2. Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 233.9 ft and a standard deviation of 68.4 ft.
Find the probability that the height of a randomly selected tree is between 49.2 ft and 76.6 ft.
P(49.2 < X < 76.6) =
3. An electronic product takes an average of 9 hours to move through an assembly line. If the standard deviation of 1 hours, what is the probability that an item will take between 6 and 7 hours to move through the assembly line? Do not round until you get your your final answer, and then round to 3 decimal places.
4. The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters, and standard deviation of 6 liters.
A) What is the probability that daily production is between 19.5 and 25.8 liters? Do not round until you get your your final answer.
Answer= (Round your answer to 4 decimal places.)
5.A population of values has a normal distribution with μ=34.1μ=34.1 and σ=69.7σ=69.7. You intend to draw a random sample of size n=97n=97.
What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=
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