The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X - NV 0³ ( Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted at least 229 days. 0.9944✔ or c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 229 and 252 days. 0.1530✔ Please show the following answer to the nearest day in the whole number. d. The 89th percentile pregnancy length in this village is days.

Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: normal distribution μ = 100σ = 15 P(108<x<132) = ?

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: Given that  Mean = 0 , Standard deviation = 1

Q: Assume the random variable X is normally distributed with mean μ =50 and standard deviation o=7.…

A: From the provided information,Mean (µ) = 50Standard deviation (σ) = 7

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those…

A: μ = 100σ = 15 X = 115

Q: A race director is preparing for an upcoming marathon and estimates that the mean time to finish is…

A:

Q: C. O D. of B.

A: Given: μ=0σ=1

Q: The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 6…

A: It is given that the mean and the standard deviation are 15 and 6, respectively.

Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

A:

Q: cores for men on the verbal portion of the​ SAT-I test are normally distributed with a mean of 509…

A: The mean is 509 and the standard deviation is 125.

Q: The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption…

A:

Q: A variable x has a mean, p, of 30 and a standard deviation, o, of 5. What is the standardized…

A: From the given information,   Mean = 30 Standard deviation = 5   The objective is to find the…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Suppose that the mean weight for men 18 to 25 years old is 168 pounds, and the standard deviation is…

A: Mean = 168 Standard deviation = 23

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Step 1: Sketch the regionSince we are making a graph for a bone density test score between -2.05 and…

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Here, µ=0°C, σ=1.00°C.

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: The graph on the IQ scores of the adults shows a Normal distribution.The mean is 100, and the…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: The mean and standard deviation are 0 and 1, respectively.

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: For the given problem, we need to find the probability that a given score is between -2.08 and 3.73…

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: GivenMean(μ)=0standard deviation(σ)=1

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: The given information is that the readings on thermometers are distributed normally with mean 0 and…

Q: You randomly select and weigh 12 samples of an allergy medicine. Assume the weights are normally…

A: Given that n =12, t0.99 = ?

Q: a. In a normal distribution, a = - (right or left) of the mean. b. -2, z = 6. This tells you that x…

A:

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: Use the normal distribution of fish lengths for which the mean is 8 inches and the standard…

A:

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Z score = -0.51( Left tailed )

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A:

Q: Psychology students at a university completed the Dental Anxiety Scale questionnaire. Scores on the…

A: Given that, mean = μ=12, and standard deviation =σ=3.5