Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with a mean of $2,025 per hour and a standard deviation of $220. What is the operating cost for the lowest 10 percent of the airplanes? (Round z value to 2 decimal places)
Given that,
P(Z < -1.28) = 0.10
z = -1.28
Using z-score formula,
x = z *
+
x = -1.28 * 220 + 2025 = 1743.4
Operating cost = 1743.4
Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with...
The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,475 per month and a standard deviation of $290 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 45 one-bedroom apartments and finding the mean to be at least $2,365 per month? (Round z value to 2 decimal places and final answer to...
The life expectancy of sport utility vehicles follows a normal distribution with a mean of 145.8 thousands of miles and a standard deviation of 25.32 thousands of miles. a) Find P(x ≥ 150), the probability an SUV will last 150 thousand miles or higher. Round the z-score to 2 decimal places. Don't round the final answer. b) The cut-off life expectancy of a SUV that represents the 27th percentile (lowest 27% of all SUV life expectancies). Round answer to 2...
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
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Assume that x has a...
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The random variable Z follows a normal distribution with a mean of 0 and a standard deviation of 1. 1. What is P(Z ≤ -1.54)? Include 4 decimal places in your answer. 2. What is P(Z ≥ 0.45)? Include 4 decimal places in your answer. 3. What is P(-1.25 ≤ Z ≤ 0.65)? Include 4 decimal places in your answer. 4. What is the 45th percentile of Z? That is, what is the value of Z where the cumulative probability...
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
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