Question

In: Math

It is known that the length of a certain product X is normally distributed with μ...

It is known that the length of a certain product X is normally distributed with μ = 37 inches. How is the probability P(X > 33) related to P(X < 33)?

Solutions

Expert Solution

P(X > 33) = 1 - P(X < 33). Because of symmetry

                                                                                                                                                                                                                                                                                       

milcah answered 1 year ago
Next > < Previous

Related Solutions

6. The length of life in months of a certain product is approximately normally distributed with...
6. The length of life in months of a certain product is approximately normally distributed with a mean of 92 and a standard deviation of 17. For each question below, draw a picture indicating what you know you need to find. (3 points) a. the manufacturer decides to guarantee the product for five years. What percentage of items will fail before the warranty expires? b. If the manufacturer wanted to replace only 1% of the product due to failure under...
Suppose that a population is known to be normally distributed with μ =2,400 and σ=220. If...
Suppose that a population is known to be normally distributed with μ =2,400 and σ=220. If a random sample of size n=88 is​ selected, calculate the probability that the sample mean will exceed 2,500 ​P(x > 2,500​)= ​(Round to four decimal places as​ needed.)
The life in hours of a certain type of lightbulb is normally distributed with a known...
The life in hours of a certain type of lightbulb is normally distributed with a known standard deviation of 10 hours. A random sample of 15 lightbulbs has a sample mean life of 1000 hours. What would the 99% lower-confidence bound L on the mean life be, rounded to the nearest integer?
The lifetimes of a certain electronic component are known to be normally distributed with a mean...
The lifetimes of a certain electronic component are known to be normally distributed with a mean of 1,400 hours and a standard deviation of 600 hours. For a random sample of 25 components the probability is 0.6915 that the sample mean lifetime is less than how many hours? A)1345 B)1460 C)1804 D)1790
The length of pain relief from the drug Tramadol is known to be normally distributed. The...
The length of pain relief from the drug Tramadol is known to be normally distributed. The pharmaceutical company that makes Tramadol claims that the average pain relief lasts longer than 4 hours. A random sample of 15 patients on Tramadol had a mean of 4.28 hours and a standard deviation of 0.5 hours. a) State the hypotheses b) State the rejection region for 훼=0.025 c) Perform a Student’s T-test and state your conclusion. d) The p-value for this sample will...
The length of zebra pregnancies is normally distributed, with mean μ = 380 and standard deviation...
The length of zebra pregnancies is normally distributed, with mean μ = 380 and standard deviation σ = 10. A random sample of 11 random pregnant zebras is chosen. Find P(x⎯⎯⎯x¯ < 375) for n = 11. Enter your answer as an area under the curve with 4 decimal places.
Cherry trees in a certain orchard have heights that are normally distributed with mean = μ...
Cherry trees in a certain orchard have heights that are normally distributed with mean = μ 106 inches and standard deviation = σ 17 . (a) What proportion of trees are more than 109 inches tall? (b) What proportion of trees are less than 92 inches tall? (c) What is the probability that a randomly chosen tree is between 90 and 105 inches tall? Round the answers to four decimal places.
Question 4. The demand for a new product is estimated to be normally distributed with μ...
Question 4. The demand for a new product is estimated to be normally distributed with μ = 200 and σ = 40. Let x be the number of units demanded, and find the following probabilities: a. P(180≤ x ≤220) b. P(x ≥ 250) c. P(x ≤ 100) d. P(225≤ x ≤250)
Suppose a population of scores x is normally distributed with μ = 16 and σ =...
Suppose a population of scores x is normally distributed with μ = 16 and σ = 5. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.) Pr(16 ≤ x ≤ 18.6)
Suppose a population of scores x is normally distributed with μ = 16 and σ =...
Suppose a population of scores x is normally distributed with μ = 16 and σ = 5. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.) Pr(16 ≤ x ≤ 18.3) You may need to use the table of areas under the standard normal curve from the appendix. Also, Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT