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.
Q: Assume the random variable x is normally distributed with mean μ=89 and standard deviation σ=5.…
A: Given X is normal Distributed with mean µ = 89.0 and standard deviation σ = 5.0 now will using…
Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find…
A: The objective of this question is to find the probability that a random variable x, which is…
Q: Let X be a random variable following a normal distribution with mean 14 and variance 4. Determine a…
A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…
Q: Assume the random variable x is normally distributed with mean μ=82 and standard deviation σ=4. Find…
A: Given the random variable x is normally distributed with mean μ = 82 and standard deviation σ =…
Q: Assume that the random variable X is normally distributed with mean = 62.6 and standard deviation =…
A: Given:- X is normally distributed. mean μ = 62.6 standard deviation = 2.88n = 25 we have to find…
Q: Assume the random variable x is normally distributed with mean μ=86 and standard deviation σ=5. Find…
A:
Q: Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=5. Find…
A:
Q: Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability,…
A:
Q: It is speculated that an impurity exists in 30% of all water refilling stations in Metro Manila. To…
A: The percentage of impurity exits in metro manila is 30%. The number of total refilling station are…
Q: Assume that women's heights are normally distributed with a mean given by μ=63.2 inches and a…
A: GivenMean(μ)=63.2standard deviation(σ)=2.5
Q: The probability distribution of x is approximately normal with Hã = 70 and o = 19.50. What is the…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: Let X be the scores on an achievement test given to a certain population of students, with the…
A: Population mean μ =500 Population standard deviation =20 Sample size n =25
Q: The average time taken to run 10km, X, follows a normal distribution with μ = 60 minutes and σ = 15…
A:
Q: Let X be a random variable that represents the level of glucose in the blood (milligrams per…
A:
Q: Let X be a random variable that represents the level of glucose in the blood (milligrams per…
A:
Q: t is known that a certain basketball player will successfully make a free throw 90.36% of the time.…
A: Given,p=0.9036n=13Let"x" no.of free throws by the basketball…
Q: The gestation period of humans follows a normal distribution with a mean of 266 days and a standard…
A:
Q: Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=5. Find…
A: Given X is normal Distributed with mean µ = 85.0 and standard deviation σ = 5.0 now will using…
Q: X is a normally distributed random variable with a mean of 20 and a standard deviation of 4.75. The…
A:
Q: Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard…
A: Solution: From the given information, X follows normal distribution with mean µ=65 and a standard…
Q: (d) Let X P(X < 1.4)? 25 25 X;. How would you use the central limit theorem to approximate
A: We want to find the probability by using central limit theorem.
Q: Assume the random variable x is normally distributed with mean u=80 and standard deviation =5. Find…
A: Given that: X is normal Distributed with mean µ = 80.0 and standard deviation σ = 5.0 now will using…
Q: et X be a random variable that represents the level of glucose in the blood (milligrams per…
A:
Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find…
A: It is given that the the random variable x is normally distributed with mean μ=50 and standard…
Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…
A:
Q: Let x be a continuous random variable that is normally distributed with a mean of 57 and a standard…
A: We have given that Let x be a continuous random variable that is normally distributed with a mean…
Q: Assume the random variable x is normally distributed with mean μ=84 and standard deviation σ=5.…
A:
Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find…
A:
Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…
A:
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).
Step by step
Solved in 3 steps
- 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 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 pLet X be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood). The distribution of X for a healthy person is normally distributed with men u = 85 and standard deviation o = 25. A person suffers from severe excess in insulin would have a lower level of glucose. A blood test with result of X < 40 would be used as an indicator that medication is needed. (a) What is the probability that a healthy person will be suggested with medication after a single test? (b) A doctor uses the average result of 2 tests for diagnosis, that is X. The second test will be conducted one week after the first test, so that the two test results are independent. For many healthy persons, each has finished two tests, find the expectation and standard error of the distribution of X. (c) The doctor suggests medication will be given only when the average level of glucoses in the 2 blood tests is less than 40, that is X < 40, so to reduce the chance of…
