Let X be a random variable that follows a standard normal distribution (mean μ=0 and standard deviation σ=1). Find the probability that X lies between -1.5 and 1.2.
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Let X be a random variable that follows a standard
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- If a z-score is selected at random, find the probability the z-score is greater than 1.45 using the standard normal distribution. If a z-score is selected at random, find the probability the z-score is less than -0.57 using the standard normal distribution. If a z-score is selected at random, find the probability the z-score is between -0.57 and 1.45 using the standard normal distribution.Jumbo shrimp are defined as those that require 10 to 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1.5 and forms a normal distribution. Using the Distributions tool, find the probability of randomly picking a sample of n = 25 1-pound bags that average more than M = 13 shrimp per bag. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 012z.5000.50000.000 The probability of randomly picking a sample of n = 25 1-pound bags that average more than M = 13 shrimp per bag is pAssume that the random variable X is normally distributed with mean = 186.8 and standard deviation = 32. Let n = 50. Find P(195< < 200).
- A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter of blood. After a 12-hour fast, the random variable x will have a distribution that is approximately normal with μ = 85 and σ = 25. After 50 years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult under 50 years old, after a 12-hour fast, x is less than 130?Consider a random variable X that follows a normal distribution with a mean (μ) of 50 and a standard deviation (σ) of 5. Calculate the probability that X is less than 40.Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find the indicated probability. P(x> 36)
- Assume that variable z has a standard normal distribution in the population. Use the table of the standard Normal Distribution (attached) to find the probability of a z value in each of the following intervals: (a) 0 to 1.65; (b) 1.95 to ∞; (c) -1.30 to 0; (d) -∞ to 1.00.Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than -0.71.Let x be a continuous random variable that is normally distributed with a mean of 123.5 and a standard deviation of 12.3. FInd the probability that x assumes a value between 97.9 and 113.2.
- The gestation period of humans follows a normal distribution with a mean of 266 days and a standard deviation of 16 days. Solve for the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less. O P(Z > -1.68) = 0.9535 %3D O P(Z 1.68) = 0.0465 %3DAssume the random variable X is normally distributed with mean =50 and standard deviation =7. Compute the probability. P(X > 36)=Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, o = 2.8, find a value xo that represents the 80th percentile of the distribution. Answer should be accurate to two decimal places.