A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm?
P(X<22)=P(Z< ) =
Round your z-score and probability to four decimal places.
The time a song plays on the radio varies from song to song. The time songs play varies according to a normal distribution with mean of 3.2 minutes and a standard deviation of 1.32. What is the probability that a randomly selected song will play longer than 4.5 minutes?
P(X>4.5) = P(Z> ) =
Round your z-score and probability to four decimal places.
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with...
Songs on iTunes have a mean length of 3.54 minutes with a standard deviation of 0.25 minute? If the distribution of song lengths follows a normal distribution, what percentage of songs are shorter than 4 minutes between 4.4 and 4.6 minutes?
Steel rods are manufactured with a mean length of 23 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normal distributed with a standard deviation of 0.08 Click the icon to view a table of areas under the normal curve (a) What proportion of rods has a length less than 22.9 cm? 0.0478 (Round to four decimal places as needed) (b) Any rods that are shorter than 22 87 om or longer than...
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 209.5-cm and a standard deviation of 1.7-cm. For shipment, 50 steel rods are bundled together. Round all answers to four decimal places if necessary. A. What is the distribution of X ? X ~ N( , ) B.What is the distribution of ¯ x x ¯ ? ¯ x x ¯ ~ N( , ) C. For a single randomly selected steel...
3. Suppose that the length of iron rods from a certain factory follows the normal distribution with known standard deviation o = 0.2 m but unknown mean u. Construct a 88% confidence interval for the population mean u if a random sample of n = 16 of these iron rods has sample mean of 6 m. Z= E = CI:
i need help now please i dont get it. !!! Question Help o Steel rods are manufactured with a mean length of 25 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Complete parts (a) to (d) (a) What proportion of rods has a length less than 24.9 cm? (Round to four decimal places as needed.) (b) Any rods that are shorter than 24...
QUESTION PART A: A population of values has a normal distribution with μ=156μ=156 and σ=43.2σ=43.2. You intend to draw a random sample of size n=135n=135. Find the probability that a single randomly selected value is greater than 146.7. P(X > 146.7) = Find the probability that a sample of size n=135n=135 is randomly selected with a mean greater than 146.7. P(M > 146.7) = PART B: A company produces steel rods. The lengths of the steel rods are normally distributed...
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 170.1-cm and a standard deviation of 1.5-cm. For shipment, 16 steel rods are bundled together. Find the probability that the average length of the rods in a randomly selected bundle is between 169.8-cm and 170-cm. P(169.8-cm < ¯¯¯ X < 170-cm) = Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 136.9-cm and a standard deviation of 2.2-cm. For shipment, 29 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 137.8-cm and 138.1-cm. P(137.8-cm < M < 138.1-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3...
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 95.4-cm and a standard deviation of 1.1-cm. For shipment, 11 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 95.1-cm and 95.3-cm. P(95.1-cm < M < 95.3-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3...
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 212-cm and a standard deviation of 2.2-cm. For shipment, 11 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 213.6-cm. P(M < 213.6-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...