The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally distributed with μ = 1.2 and σ = 0.4. a) Find the mean lifetime. b) Find the probability that a component lasts between three and six days. c) Find the median lifetime. d) Find the 90th percentile of the lifetimes.

Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 %3D

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P42, the 42-percentile. This is the temperature reading separating the bottom 42% from the top 58%. P42 = °C

Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 85 and 125. Click to view page 1 of the table. Click to view page 2 of the table. ... The probability that a randomly selected adult has an IQ between 85 and 125 is (Type an integer or decimal rounded to four decimal places as needed.)

Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.

Find the mean and standard deviation for each Poisson: a. A = 6 (Round your standard deviation to 3 decimal places.) Mean Standard deviation b. A = 18 (Round your standard deviation to 3 decimal places.) Mean Standard deviation c. A = 3 (Round your standard deviation to 3 decimal places.) Mean Standard deviation

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P87, the 87-percentile. This is the temperature reading separating the bottom 87% from the top 13%.P87 = °C