If X is a normally distributed with mean 6 andstandard deviation 5.Find P(-6 < X < 18)a. 0.3849O b. 0.9054O c. 0.7698O d. 0.8976

Answered: Image /qna-images/answer/7019f4ac-6d97-40c1-8def-068ceeec9245.jpg

Answered: If X is a normally distributed with…

If X is a normally distributed with mean 6 and standard deviation 5. Find P(-6 < X < 18) O a. 0.3849 O b. 0.9054 O c. 0.7698 O d. 0.8976

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: Show that for +-distribution with n'dof., about meath 13 given by: √n [[(1-1)/2] / √5564/2 mean…

Q: Assume that the random variable X is normally distributed, with mean 50 and standard deviation of 7.…

A: Given : Assume that the random variable X is normally distributed, with mean 50 and standard…

Q: 6. A random variable X is normally distributed with a mean μ. In the following diagram, the shaded…

A: Normal distributionThe normal distribution is the probability distribution for continuous data, and…

Q: Q3: Let i be the observed mean of a random sample of size n from a distribution having mean u and…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 28. Let X have a Standard Normal Distribution. Find P(X > -0.25). B. 0.59871 A. 0.49871 C. 0.69871…

A: Given that: Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 By…

Q: Suppose X is normally distributed with a mean of 47 and a standard deviation of 23. a. Find P(X ≤…

A: Given that the random variable is normally distributed with mean of and a standard deviation of .

Q: 16.) Assume that X is normally distributed with a mean of 12 and a standard deviation of 4.…

A: Given: Formula:

Q: II. Assume X is nomally distributed with a mean of 10 and a standard deviation of 2. Determine the…

A: Given : X is normally distributed with mean of 10 and a standard deviation of 2 . Notation : X…

Q: A random variable x that is distributed normally with a mean of 5 and a standard deviation of 2. 1.…

A: Normal distribution z=x-μσ where μ is mean of the random variable σ is standard deviation of the…

Q: If x is normally distributed with mean 12 and standard deviation 2, then P(x<9) is P(z< 9/10).…

A: Given that Let X be the random variable with Mean =12 Standard deviation =2 Then we have to find…

Q: Let X be the mean of a random sample of size 50 drawn from a population with mean 114 and standard…

Q: 0.8888 0.9222 0.0778 0.4222

A: We see that the z has mean=0 and sd=1, hence z follows standard normal distribution. It is given…

Q: Suppose X has a normal distribution with mean 10 and standard deviation 2. In order for the Z-score…

A: Given data,μ=10σ=2If z=0X=?

Q: 54. The function for the standard normal distribution is f(x) = /2T Its graph is that of the bell…

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

Q: 43. Let X have a Standard Normal Distribution. Find P( – 1.27 < X < 2.05). A. 0.8777 В. 0.8977 С.…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: 1. The mean and standard deviation of a process are known to be μ = 200 and σ = 10. Calculate…

A: Specification limits in SQC refer to the range of values within which a product or process…

Q: Suppose that the length of research papers is uniformly distributed from 8 to 23 pages. We survey a…

A: For uniform distribution from a to b, Mean, = (a+b)/2 Here, a = 8 and b = 23 = (8 + 23)/2 = 15.5…

Q: 32. Let X have a Standard Normal Distribution. Find a such that P(X > a) = 0.80511 А. - 0.66 В. -…

A: Given that: X is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 now…

Q: 41. Let X have a Standard Normal Distribution. Find P(X < 1.46). В. 0.92785 A. 0.91785 С. 0.93785 D.…

A: According to the given information, we have X have a Standard Normal Distribution.

Q: Assume that the random variable x is normally distributed with mean u 70 and standard %D deviation o…

A: We have given that. X~N( μ , ?^2 ) μ = 70, ? = 10 Z-score =( x - μ )/?

Q: a. Determine the mean, variance, and standard deviation of X b. What is P (X < 2.5)?

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

A: Given:- X = number of ants in a randomly selected acre of the forestμ=43000σ=12359 a.…

Q: The number of ants per acre in the forest is normally distributed with mean 44,000 and standard…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Suppose X is normally distributed with mean 5. If P(X <3) = 0.3015 what is the standard deviation of…

A: According to the given information, we have Mean = 5 P-value = 0.3015

Q: If X is normally distributed with a mean of 22 and a standard deviation of 6. If you take a sample…

A: Mean = 22 Standard deviation = 6 Sample size = 25

Q: 29. Let X have a Standard Normal Distribution. Find P(- 1.27 < X < 2.05). A. 0.8777 B. 0.8977 C.…

A: According to the given information, we have Let X have a Standard Normal Distribution.

Q: = 10 and standard deviation 2.0, find If X is a normal with mean P(x > 13.0 ) = P( 11 < X< 14 ) =…

A: In probability theory, a normal distribution is a type of continuous probability distribution for a…

Q: Suppose x has an exponential distribution with 0 = 2.5. Find the following probabilities: a. P(x 5)…

A: Given X~ Exponential distribution with θ=2.5 we have to find P(X≤4)P(X>5)P(X≤2)P(X>3)

Q: Suppose that 70% of a breed of hogs is infected with trichinosis. If a random sample of 600 hogs is…

Q: Assume that z-scores are normally distr If P( – b < z < b) = 0.4488, find b.

Q: 5.7 Solve for the mean and standard deviation of the following binomial distributions. a. n= 25 andp…

Q: Given that x is a normally distributed variable with mean equal to 40 and standard deviation equal…

A: P(x ≤ 45) = 0.8413

Q: Let X be a normal random variable with mean mu = 28 and standard deviation = 4.5. Find the…

A: Given, μ = 28σ = 4.5

Q: Let u = 19. A sample of 13 provided a sample mean xbar= 25 and a sample standard deviation s = 6.…

A: Solution: Following information is given to us. Population mean: u = 19 Sample size: n = 13 Sample…

Q: A Poisson distribution with λ =7.4 λ =7.4 and x=5 Use the probability distribution identified…

A: given data poisson distributionλ = 7.4x = 5for poisson distributionP(x=X) = e-λλxx!

Q: 6. a normal distribution has a mean of 65 and an SD of 20. For each of th compute the z score for…

A: Given that X~N( μ , ?) μ=65 , ?=20 Z-score =( M - μ )/(?/√n) NOTE:- According to bartleby…

Q: 31. Let X have a Standard Normal Distribution. Find a such that P(X < a) = 0.88877 А. 0.92 В. 1.02…

A: Given,P(X≤a)=0.88877

Q: Compute the probability. Be sure to draw a normal curve with the area corresponding to the…

A: X follows N(μ=50, σ= 7) then z=x-uσ= x-507 follows N(0,1)

Q: 14:34. Supposé thể Walst me and standard deviation 5 cms. Find the :number N of girls with waists-…

A: Givan Let X be a random variable with mean 66 Standard deviations= 5

Q: 46. Let X have a Standard Normal Distribution. Find a such that P(X > a) = 0.80511 A. – 0.66 В. —…

A: Answer is (C) -0.86

Q: S2. Assume that x₁,...,10 € R satisfy standard deviation of X1,.. ..., *10? (This question appeared…

A: Given that, ΣX= 3 ΣX2= 10 And sample size is n= 10

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

If X is a normally distributed with mean 6 and
standard deviation 5.
Find P(-6 < X < 18)
a. 0.3849
O b. 0.9054
O c. 0.7698
O d. 0.8976

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

5.65. Find the mean µ, variance o², and standard deviation o of each distribution: 2 3 8 (a) (b) X f(x) X f(x) 1/4 -2 1/3 1/2 1/4 -1 7 1/2 1/6
Suppose that X has a Weibull distribution with ß = 0.3 and 5 = 100 hours. Determine the following. Round the answers to 3 decimal places. (a) P (X 5000) = i
45. Let X have a Standard Normal Distribution. Find a such that P(X < a) = 0.88877 А. 0.92 В. 1.02 С. 1.12 D. 1.22
The number of ants per acre in the forest is normally distributed with mean 43,000 and standard deviation 12,019. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected acre in the forest has fewer than 40,019 ants. c. Find the probability that a randomly selected acre has between 44,766 and 55,777 ants. d. Find the first quartile. ants (round your answer to a whole number)
If X is normally distributed with mean of 60 and standard deviation of 5. What is the P(55
3. For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n= 65 and p = 0.7 a. Normal approximation is not suitable. b. Normal approximation is suitable.
Let u = 44. A sample of 15 provided a sample mean xbar = 41 and a sample standard deviation s = 3.7 . Find P (xbar = 41). a. 0.001 < P (xbar < 41) < 0.0025 b. 0.0025 < P (xbar < 41) < 0.005 c. 0.02 < P (xbar < 41) < 0.025 d. 0.05 < P (xbar < 41) < 0.10
If Z has standard normal distribution with mean 0 and standard deviation 1. Find P( Z > 1.96 ) a. 0.0250 O b. -0.5310 O c. 0.9332 O d. 0.4322
st K Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. S= n [Σ(+•x2)]- [Σ«•x)]2 n(n-1) Interval Frequency 20-29 1 30-39 4 40-49 5 ... Standard deviation = (Round to one decimal place as needed.) 50-59 3 60-69 8 70-79 32 80-89 C 39
If a random variable X follows normal distribution with mean 10 and standard deviation 50, write down its p.d.f. Also calculate P(X 10). -x? 2 e |Given: 4(1.96) = 0.975, þ(2.36) = 0.99, where (Z) = -dz] ov2n
1. Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 231.1 ft and a standard deviation of 5.6 ft.A tree of this type grows in my backyard, and it stands 230 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<230) = Enter your answer accurate to 4 decimal places. 2. Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−0.7<z<b)=0.7352P find b.b= (Round to two decimal places.) Do not round until the very last step. Any intermediate steps should include all decimal places.
If x is normally distributed with population mean=20.0 and population standard deviation = 4.0, determine P(16.0 less than/equal to x less than/equal to 24.0)