Question

In: Statistics and Probability

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)

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

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)?
QUESTION 4: The returns for an asset are normally distributed. The mean return is 9.75% and...
QUESTION 4: The returns for an asset are normally distributed. The mean return is 9.75% and the standard deviation is 3.25%. a. What is the probability of earning a negative return? (3 points) b. What is the probability of earning a return between 6.5% and 16.25%? (3 points) c What is the probability of earning a return greater than 13%? (3 points)
Assume that a population is normally distributed with a population mean of μ = 8 and...
Assume that a population is normally distributed with a population mean of μ = 8 and a population standard deviation of s = 2. [Notation: X ~ N(8,2) ] Use the Unit Normal Table to answer the following questions. (I suggest you draw a picture of the normal curve when answering these questions.) 8. Let X=4 Compute the z-score of X. For that z-score: a. What proportion of the area under the Unit Normal Curve is in the tail? b....
For a random variable that is normally distributed, with μ = 80 and σ = 10,...
For a random variable that is normally distributed, with μ = 80 and σ = 10, determine the probability that a simple random sample of 25 items will have a mean between 78 and 85? a. 83.51% b. 15.87% c. 99.38% d. 84.13%
Assume that a population is normally distributed with a population mean of μ = 8 and...
Assume that a population is normally distributed with a population mean of μ = 8 and a population standard deviation of s = 2. [Notation: X ~ N(8,2) ] Use the Unit Normal Table to answer the following questions. (I suggest you draw a picture of the normal curve when answering these questions.) 8. Let X=7 Compute the z-score of X. For that z-score: a. What proportion of the area under the Unit Normal Curve is in the tail? b....
A set of observations that are normally distributed with μ = 35 and σ = 2.5...
A set of observations that are normally distributed with μ = 35 and σ = 2.5 is being studied. 1. What percent of the observations are below 32.5? 2. What percent of the observations are above 30? 3. What percent of observations are below 32?
The mass of an object is normally distributed with a mean of μ = 3480 grams...
The mass of an object is normally distributed with a mean of μ = 3480 grams and a standard deviation of σ = 550 grams. Find the 28th percentile in this population. a. 3161 grams b. 2834 grams c. 3050 grams d. 2824 grams Part B.) If five objects from the population are randomly selected, what is the probability the mean mass among them is less than 3229 grams? a.) 0.1539 b.) 0.4020 c.) 0.546 d.) 0.0250
Average for a normally distributed demand of a product is 35 units per day. Standard deviation...
Average for a normally distributed demand of a product is 35 units per day. Standard deviation of lead time demand is 10. Lead time is 3 days. Service level is 95%. a) Calculate reorder point and safety stock. b) Reconsider 10 units as daily standard deviation of demand and re-calculate reorder point. c) Reconsider that demand is constant, but lead time varies with a standard deviation of 1 day. Recalculate reorder point. d) Assume both demand and lead time are...
In a city, it is estimated that the maximum temperature in July is normally distributed with...
In a city, it is estimated that the maximum temperature in July is normally distributed with a mean of 23º and a standard deviation of 4°. Calculate the probability of having a maximum temperature between 20° and 28°     The amount of tea leaves in a can from a particular production line is normally distributed with μ (mean) = 110 grams and σ (Standard deviation) = 5 grams. If a sample of 9 cans is selected, what is the probability that...
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)
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT