Answered: X has a normal distribution with the…

X has a normal distribution with the given mean and a standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 102, σ = 15, find P(114 ≤ X ≤ 135)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 3 Calculate the Standand deviationA 25 vand to hundredths. 16/719

A: Concept : The standard deviation of a data is σ = 1N∑i=1i=Nxi-μ2 where xi is given data and N is…

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: e. The probability that the jump's round off error is greater than 2.24 is P(x > 2.24) =

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

A: Mean = 0 Standard deviation = 1

Q: Find the area to the left of z = -1.5 Solution: Dr sh

A: P(Z<-1.5)=?

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64…

A: Let X: speed of a vehicles(miles per hour)X has bell shaped distribution.given mean(x¯) = 64 miles…

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

A: given data, normal distributionμ=0σ=1we have to find out the given probability for the given data.

Q: Solve using R calculator. Show all work.

A: The probability shows how likely an event occurs.

Q: ssume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation…

A: given mean μ=0 standard deviation σ=1

Q: The English statistician Karl Pearson (1857-1936) introduced a formula for the skewness of a…

A: Solution is given below:-

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

A: For the distribution of the readings (in) on the thermometers, it is given as:the mean, , and the…

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

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

A: The following information has been provided: The population mean is μ=100. The population standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Let "X" be the IQ score of the adults.

Q: Write the normal probability for the shaded region of the graph and find its value. Select the…

A: Given,n = 16p = 0.55q = 0.45

Q: Assume the heights of women are normally distributed with a mean of 67.5 inches and a standard…

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

A: Given that, Z score = -0.51 Left tailed test

Q: Determine a z-score to the nearest 0.01 for each of the test scores. Which is the better score? Rour…

A: Given data,For TEST A:Mean=670sd=80Test score=950For TEST B:Mean=2.7sd=0.4Test score=4.6

Q: 1C. What amount of time would place a student using the elliptical at the UCF gym in the bottom…

A: It is given that Mean, μ = 18.9 Standard deviation, σ = 2.15

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

A: (c ) Obtain the probability that the round off error for a Jumper’s distance is exactly 2. The…

Q: A distribution of values is normal with a mean of 199.9 and a standard deviation of 82 Find the…

A: Here, µ = 199.9, σ = 82.

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

A: Given that, test score is normally distributed with mean 0 and S.D 1. Z~N(0,1)

Q: m. Choose the correct graph below. 27 Q ecimal places as needed.) B. A 0.27 Q

A: Given that. X~N( 0 , 1 ) μ=0 , ?=1 (for standard normal distribution) Z-score =( x - μ )/?

Q: The distribution of actual weights of 8-ounce chocolate bars is approximately normal with a mean of…

A: Given: X~N8.1,0.1 Where X denotes the actual weight.

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

A: We have to find correct answer of graph and probability...

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

A: Solution-: Let, Z- be the random variable Given: μ=0,σ=1 We want find, P(Z<-1.93)=?

Q: 38 he mean is 43 ed on the graph of this normal distribution, he median is 48 he mode is he standard…

A: The given graph is normal distributed. NOTE:- According to bartleby guidelines expert can solve…

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 thermometer readings are normally distributed with a mean of 0°C and a standard…

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: Suppose you are conducting an experiment to measure the concentration of a certain compound in a…

A: In the question, data is provided. The question's purpose is to determine the mean and st. dev and…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.6 kg. Suppose…

A: b) standard deviation of uniform distribution =(b-a)^2 /12 b= 3.6 a=2.3 =1.69/40 = 0.140

Q: The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Calculate the standard deviation by filling-in the missing information below. (X-M) M- 5²- S- .2 2…

A: X(X-M)(X-M)22(2-6)=-4(-4)2=162(2-6)=-4(-4)2=1614(14-6)=8(8)2=64M=6ss=96Mean(M)=M=M=M=6

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

X has a normal distribution with the given mean and a standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 102, σ = 15, find

P(114 ≤ X ≤ 135)

Video Video

Expert Solution

Step 1

$\mathbf{Solution}$

$\mathrm{\mathbf{given}:}$

$\mathrm{Population\;mean\;(\mu)=102}$

$\mathrm{Population\;standard\; deviation\;(\sigma)=15}$

$\mathbf{formula:}$

$\mathrm{Z=\frac{X-\mu}{\sigma}}$

Where,

$\mathrm{X\rightarrow Raw\;score}$

Step by step

Solved in 2 steps with 17 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

✅❎♦️♦️♦️❎❎❎♦️
Find the probability that someone scores between 11 and 16 on the dental anxiety scale. Round to 4 decimal places as needed.
The heights (in inches) of 10adult males in an office are listed below. a. Find the standard deviation. Show the table (two columns) with all entries and the formula with appropriate entries. E(x-x)² S = 70 72 71 70 69 73 69 68 70 60 n-1
solve fast and correct . i will rate accordingly.
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score between 1.83 and 1.83. Sketch the region. Choose the correct graph below. O A. -1.83 1.83 B. -1.83 *** 1.83 O C. -1.83 1.83 O D. -1.83 1.83
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than - 1.59. Sketch the region. Choose the correct graph below. OA. -1.59 B. Q C. AAAA -1.59 1.59 ... The probability is (Round to four decimal places as needed.) S O D. 1,59 -1.59
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the casebelow, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.25 and 1.25 Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... Draw a sketch. Choose the correct graph below. A. z=0.25z=1.25 A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. The region between the 2 lines is shaded. Moving from left to right, the z-axis below the first line is labeled "z=0.25". The z-axis below the second line is labeled "z=1.25". B. z=0.25z=1.25 A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. Moving from left to right,…
Assume that a distribution has a mean of 26 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 26 and 34? Use the 68-95-99.7 rule. A. 5% B. 47.5% C. 25% D. 95%