Given a normal distribution with u= 100 and o = 4, and given you select a sample of n = 4, complete parts (a) through (d). %3! ... a. What is the probability that X is less than 94? P(X<94) =| (Type an integer or decimal rounded to four decimal places as needed)

Given a normal distribution with u= 100 and o = 4, and given you select a sample of n = 4, complete parts (a) through (d). %3! ... a. What is the probability that X is less than 94? P(X<94) =| (Type an integer or decimal rounded to four decimal places as needed)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The lengths of adult males' hands are normally distributed with mean 194 mm and standard deviation…

A: Given that: Population mean, μ=194 Population standard deviation, σ=7.1 Sample size, n=7

Q: For a normal population with ? = 70 and ? = 12, find the following. (a) What is the probability of…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: The random variable height of the individual is normally distributed. The population mean is 68. The…

Q: Suppose the age that children learn to walk is normally distributed deviation 1.2 month. 17 randomly…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: A normal distribution is a continuous type probability distribution.It is also known as a…

Q: Suppose you sample 2 students from every classroom where a class is being held at Harvard University…

A: If a random sample of size n is taken from a population having mean and standard deviation then,…

Q: Based on historical data, your manager believes that 34% of the company's orders come from…

A: Solution: Given information: n= 99 Sample size p= 0.34 Population proportion

Q: A study of the time spent shopping in a supermarket for 20 specific items showed an approximately…

A: Provided information is, a study of the time spent shopping in a supermarket for 20 specific items…

Q: The lengths of adult males' hands are normally distributed with mean 194 mm and standard deviation…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Suppose the age that children learn to walk is normally distributed with mean 13 months and standard…

A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with another…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: The mean of the sampling distribution of the sample proportion. The standard deviation of the…

Q: Question A survey asked adults how many different employers they thought they would have during…

A: List of formula : The mean of the probability distribution is , μ= ∑xP(x) The standard deviation…

Q: A poll is given, showing 46% are in favor of a new building project. Let X be the number of people…

A: The question is about discrete prob. distribution Given : Prop. of people in favor of a new building…

Q: a. What is the distribution of X? X N( b. Find the probability that the person is between 63.7 and…

A: a. The random variable X is height of the individual which follows normal distribution with mean 68…

Q: Suppose the age that children learn to walk is normally distributed with mean 13 months and standard…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Assuming a normal distribution, for a sample with M-40 and s=4, about 95% of the individuals will…

A: 32 and 48

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Solution

Q: The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: The probability of drawing from a normally distributed variable an observation that is exactly equal…

Q: 4. The length of pieces of wood (in feet) follow a N(µ = 8.1, σ = 0.1) distribution. Determine the…

A: 4. Given that µ = 8.1, σ = 0.1 33rd percentile of the lengths:…

Q: You intend to conduct a goodness-of-fit test for a multinomial distribution with 8 categories. You…

A: From the above data Are given that You intend to conduct a goodness-of-fit test for a…

Q: The number of ants per acre in the forest is normally distributed with mean 43,000 and standard…

A: a) Here, we are give with, Mean = 43,000 standard deviation =12,100 variance = (standard deviation)2…

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

Q: The number of ants per acre in the forest is normally distributed with mean 45,000 and standard…

A: a. The random variable X is number of ants in a randomly selected acre of the forest which follows…

Q: . The probability that a patient will recover from a rare blood disease is 0.4. If 12 people are…

A: Let X be the number of patient will recover from a rare blood disease.

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: Note: Since up to part (c) are already answered, we will answer the remaining parts d,e,f. Given,…

Q: If X has a normal distribution, which of the following is true about the shape (distribution) of the…

A: Given that, X has a normal distribution

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: The height for martin adult males is normally distributed. Mean (μ ) = 67 inches Standard deviation…

Q: a. What is the distribution of X? X - N( b. What is the distribution of x? x ~ NO c. What is the…

A: It is given asMean, μ = 11Standard deviation, σ = 1Sample size, n = 6Z-Score, Z = ( X - μ )/σwhere Z…

Q: The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL and…

A: Mean()=56standard deviation()=7sample size(n)=6

Question

100%

Given a normal distribution with u= 100 and o= 4 , and given you select a sample of n = 4, complete parts (a) through (d).
a. What is the probability that X is less than 94?
P(X < 94) =|
(Type an integer or decimal rounded to four decimal places as needed.)
View an example
Get more help -
Help me solve this
出
7
4+
144

Expert Solution

Step 1

Let X be the random variable from normal distribution with mean (μ) = 100 , standard deviation (σ) = 4 and sample size (n) = 4

Then,

We will find P(x̄<94) = ?

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A poll is given, showing 51% are in favor of a new building project. Let X be the number of people who favor the new building project when 28 people are chosen at random. a. What is the distribution of X? X - ? ✓ Please show the following answers to 4 decimal places. b. What is the probability that exactly 11 people out of 28 favor the new building project? c. What is the probability that at least 11 people out of 28 favor the new building project? d. What is the probability that more than 11 people out of 28 favor the new building project? e. What is the probability that between 7 and 16 (including 7 and 16) people out 28 favor the new building project?
Suppose that the efficacy of a certain drug is 0.43. Consider the sampling distribution (sample size n = 180) for the proportion of patients cured by this drug. What is the mean of this distribution? 0.43 What is the standard error of this distribution? Round your answer to two decimal places. 0.57 X Enter an integer or decimal number [more..]
17).
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- NO b. Find the probability that the person is between 64.4 and 67.3 inches. c. The middle 50% of Martian heights lie between what two numbers? Low: inches inches High:
24)
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the probability that the person is between 64.7 and 67.5 inches. c. The middle 30% of Martian heights lie between what two numbers? Low: inches High: inches
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 67 inches and a standard deviation of 2.5 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 67 2.5 b. Find the probability that the person is between 65.5 and 68,9 inches. -0.5021 c. The middle 50% of Martian heights lie between what two numbers? Low: inches High: inches
The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 7 mL. Suppose that 15 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of æ? a - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60.1 mL and 61.8 mL. d. For the group of 15 pancake eaters, find the probability that the average amount of syrup is between 60.1 mL and 61.8 mL. e. For part d), is the assumption that the distribution is normal necessary? O Nol NoO Yes