Question

A manufacturing process makes rods that vary slightly in length but follow a normal distribution with...

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.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Songs on iTunes have a mean length of 3.54 minutes with a standard deviation of 0.25...

    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...

    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...

    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...

    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...

    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...

    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...

    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...

    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...

    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...

    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...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT