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
It is given that X be a random variable that follows a standard normal distribution (mean μ = 0 and standard deviation σ = 1).
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- 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 the probability of obtaining a reading between -1.582°C and -0.232°C. P(- 1.582 < Z < - 0.232)=Let X be the random variable of the normal distribution with mean (u) and standard .deviation (o) If P(u < x < u+4) = 0.37900 =then standard deviation (ơ)Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean µ = 70 and estimated standard deviation o = 39. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed. In USE SALT (a) What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.) 0.2209 (b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 6.1. O The probability distribution of x is approximately normal with u, = 70 and o, = 27.58. O The probability distribution of x is not normal. O The probability distribution of x is approximately normal with µ, = 70 and o, = 39. O The probability distribution of x is approximately normal with u, = 70 and o, = 19.50. What is the…
- Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 128.Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 124 The probability that a randomly selected adult has an IQ less than 124 is (Type an integer or decimal rounded to four decimal places as needed.)Assume the random variable x is normally distributed with mean μ=80 and standard deviation σ=5. Find the indicated probability. P(x<74)
- A normal distribution has a mean of µ = 100 with σ = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 110?Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 isAssume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
- Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 87th percentile.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 p
