A population of values has a normal distribution with μ=236.5μ=236.5 and σ=68σ=68. A random sample of size n=235n=235 is drawn. Find the probability that a sample of size n=235n=235 is randomly selected with a mean less than 243.6. Round your answer to four decimal places. P(M<243.6)=

A population of values has a normal distribution with μ=158.8μ=158.8 and σ=91.9σ=91.9. You intend to draw a random sample of size n=141n=141.Inverse Normal CalculatorFind P10, which is the score separating the bottom 10% scores from the top 90% scores.P10 (for single values) = Find P10, which is the mean separating the bottom 10% means from the top 90% means.P10 (for sample means) = Enter your answers as numbers accurate to 1 decimal place.

Assume the random variable X is normally​ distributed, with mean μ=42 and standard deviation σ=9. Find the 9th percentile. The 9th percentile is ______                                                                                                                  (Round to two decimal places as needed)

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 the probability of obtaining a reading between -1.967°C and 0.422°C. P(-1.967 Next Question

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between −2.09 and −0.96 and draw a sketch of the region.    What is the probability?

The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. Systolic blood pressure for males follows a normal distribution.   a. Calculate the z-scores for the male systolic blood pressures 102 and 149 millimeters. Round your answers to 2 decimal places.     z-score for 102 millimeters:       z-score for 149 millimeters:     Find the probability that a randomly selected male has a systolic blood pressure between 102 and 149. Round your answer to 4 decimal places.

The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question

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 the probability of obtaining a reading between -2.857°C and 0.928°C. P(- 2.857 Next Question M hp

Assume that the probability of a being born with Genetic Condition B is �=17/30. A study looks at a random sample of 286 volunteers.Find the most likely number of the 286 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let � represent the number of volunteers (out of 286) who have Genetic Condition B. Find the standard deviation for the probability distribution of �.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=122, p=0.25 The mean, μ, is 30.5. (Round to the nearest tenth as needed.) The variance, a², is 7.62. (Round to the nearest tenth as needed.)