Sales delay is the elapsed time between the manufacture of a product and its sale. According an article it is quite common for investigators to model sales delay using a lognormal distribution. For a particular product, the cited article proposes this distribution with parameter values μ = 2.01 and ² = 0.07 (here the unit for delay is months). USE SALT (a) What are the variance and standard deviation of delay time? (Round your answers to two decimal places.) months² months variance 2.72 standard deviation 1.65 x X (b) What is the probability that delay time exceeds 12 months? (Round your answer to four decimal places.) 0.0217 X (c) What is the probability that delay time is within one standard deviation of its mean value? (Round your answer to four decimal places.) 0.6942 X

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Sales delay is the elapsed time between the manufacture of a product and its sale. According an article it is quite common
for investigators to model sales delay using a lognormal distribution. For a particular product, the cited article proposes this
distribution with parameter values μ = 2.01 and ² = 0.07 (here the unit for delay is months).
USE SALT
(a) What are the variance and standard deviation of delay time? (Round your answers to two decimal places.)
months²
variance
2.72
standard deviation 1.65
(b) What is the probability that delay time exceeds 12 months? (Round your answer to four decimal places.)
0.0217
X
x
X months
(c) What is the probability that delay time is within one standard deviation of its mean value? (Round your answer to four
decimal places.)
0.6942
X
(f)
(d) What is the median of the delay time distribution? (Round your answer to two decimal places.)
8.00
x months
(e) What is the 99th percentile of the delay time distribution? (Round your answer to two decimal places.)
12.75
x months
Among 10 randomly selected such items, how many would you expect to have a delay time exceeding 9 months?
(Round your answer to three decimal places.)
items
Transcribed Image Text:Sales delay is the elapsed time between the manufacture of a product and its sale. According an article it is quite common for investigators to model sales delay using a lognormal distribution. For a particular product, the cited article proposes this distribution with parameter values μ = 2.01 and ² = 0.07 (here the unit for delay is months). USE SALT (a) What are the variance and standard deviation of delay time? (Round your answers to two decimal places.) months² variance 2.72 standard deviation 1.65 (b) What is the probability that delay time exceeds 12 months? (Round your answer to four decimal places.) 0.0217 X x X months (c) What is the probability that delay time is within one standard deviation of its mean value? (Round your answer to four decimal places.) 0.6942 X (f) (d) What is the median of the delay time distribution? (Round your answer to two decimal places.) 8.00 x months (e) What is the 99th percentile of the delay time distribution? (Round your answer to two decimal places.) 12.75 x months Among 10 randomly selected such items, how many would you expect to have a delay time exceeding 9 months? (Round your answer to three decimal places.) items
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