Answered: Let x be a normally distributed random…

Let x be a normally distributed random variable with the following parameters: μ = 135.628 σ = 28.622 12 What is the probability that x will be below 100 ? a 0.1343 b 0.1243 c 0.1151 d 0.1066

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: Let the random variable Y have a geometric distribution with a mean of 3. The probability that…

A: From the provided information,Y have a geometric distribution with a mean of 3 that is Y~G(3)Since,

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

Q: Data were collected from a survey given to graduating college seniors on the number of times they…

Q: Fill in the P(x=x) values to give a legitimate probability distribution for th discrete random…

Q: For a normally distributed random variable x with u = 100 and o = 16, use technology to find each…

Q: Find the mean. (Answer in 3 decimal places.) Answer: Blank 1 b. Find the standard deviation

A: It is given that X is discrete random variable. The mean of X is defined as E(X) = ∑x. P(X = x) And…

Q: Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random…

Q: P b. 0.9 C. Od. 0.5

A: It is an important part of statistics. It is widely used.

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.38%. A random sample of 32 of…

A: The probability of the mean childhood asthma prevalence for the sample is greater than 2.7% is…

Q: Given a pmf of a random variable X 1 3 4 p(x) 0.05 0.2 0.15 0.15 0.1 0.35 The median of X is O a. 3…

A: Introduction - Median M=X1+X22where,X1=the largest value of X such that P(X≤X1)≤0.5X2=the…

Q: Let X₁, X2, X3, X4 be independent gamma random variables, each with scale parameter 2. Let the shape…

A: Here, given that X1, X2, X3, X4 be independent gamma distribution with given parameters.Then, we…

Q: please ask a and

A: a)PX is even∪X≥7=PX=2+PX=4+PX=6=f2+f4+f6=0.25+0.1+0.1=0.45 Therefore, the probability that X is…

Q: Find the following probability for the standard normal random variable z. e. P(z 20) f. P(-2.54…

A: We have given that X~N( 0 , 1) μ = 0 , ? = 1 Z-score =( x - μ )/? Note:-According to…

Q: Let Z be a standard normal random variable. What is the probability that z is between 1.06 and 1.76?…

A: Required probability is P(1.06<Z<1.76)

Q: Consider a random variable X and the following probability distribution. P(X=12) = 0.0405 P(X = 33)…

Q: The annual number of visits to a health care provider can be modeled by a discrete random variable…

A: (As per our standard guidelines, we are supposed to answer only 3 sub-parts.)A. The probability that…

Q: Data were collected from a survey given to graduating college seniors on the number of times they…

A: Given observation x P(X=0) 0 0.207 1 0.136 2 0.328 3 0.18 4…

Q: For a standard normal random variable Z, P(|Z|<1.30) is closest to: A 0.1936 b 0.4032 c…

A: Option (c) is correct

Q: Let x be a normally distributed random variable with the following parameters: μ = 135.628 σ =…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 135.628 and…

Q: Fill in the P=Xx values to give a legitimate probability distribution for the discrete random…

A: P(X=x) values to give a legitimate probability distribution for the discrete random variable…

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A: Given: X 2 3 4 5 6 FX 0.01 0.25 0.4 0.3 0.04 Formula: Meanμ =∑X PX Variancex=∑i=1nX-μ2…

Q: Consider a random variable X with the following probability distribution: p(x)=0.0o5x, for x = 2, 3,…

A: See the handwritten solution

Q: Let x be a random variable with the following probability distribution Number 1 2 3 P(x)=f(x) k 1/3…

Q: The random variable X represents the number of tests that a patient entering a hospital has. Find…

A: The question is about discrete prob. dist. Given :

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A: GIVEN DATA, we have to find out the missing value for the p(x=4) =? and p(x=6)=?we know that for…

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

Q: Let X be a random variable with the following probability distribution: X -2 3 5 f(x) 0.5 0.2 0.3…

A: population mean : μ = E(x)

Q: Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random…

Q: A data scientist tracked how many cups of coffee she drank every day at work over the course of a…

Q: Let's define the random variable X to be the number of goals scored by a randomly selected team in a…

A: According to the given information in this question We need to find mean and standard deviation

Q: Fill in the P=Xx values to give a legitimate probability distribution for the discrete random…

A: To create a legitimate probability distribution, the sum of all the probabilities should equal 1.…

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.22%. A random sample of 30 of…

A: The mean and standard deviation are 2.22% and 1.37%, respectively.

Q: Suppose X is a random variable with possible values -2,3 and 1 and with respective probabilities…

A: Given information, X -2 3 1 P(X) 0.22 0.35 0.43 Mean: X -2 3 1 P(X) 0.22 0.35 0.43…

Q: Assume x is a normally distributed random variable with mean = 50 and variance = 3. Find the value…

Question

Let x be a normally distributed random variable with the following parameters:

μ =	135.628
σ =	28.622

What is the probability that x will be below

100

a	0.1343
b	0.1243
c	0.1151
d	0.1066

Video Video

Expert Solution

Step 1

Given that

μ = 135.628 , ? =28.622

X~Normal(μ=135.628 , ? =28.622)

Find P(X<100)

Formula for Z-score

Z=(x-μ)/?

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X. Hx = marriages (Type an integer or a decimal. Do not round.) X 0 1 2 3 4 5 P(x) 0.264 0.567 0.136 0.029 0.003 0.001
Give the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.25
Draw a probability curve with your answer
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
Let Z be a standard normal random variable. Find the following probabilities. P(Z<1.48). P(Z<−0.25) P(Z>165) P(0.6<Z<1.67)
Consider a discrete random variable X that can assume three values 1, 2, and k with respective probabilities 0.5, 0.25, and 0.3. If E(X) = 1.9, what is the value of k? Select one: а. 5 b. 2 с. 1 d. 3 e. 4
If z is a standard normal random variable, find the probability.The probability that z lies above 1.12
If z is a standard normal random variable, then P (1.83 < z < 2.38) is:
B. A discrete random variable X has the following probability distribution: 1. 3 4. 1 2 P(X) y 6. 9. 9. 1. Find y. 2. Construct a probability histogram to describe P(X).
Let X be a random variable with the following PMF: X = k k=-5 k=-2 k=0 k=2 k=5 P(X=k) 0.3 0.05 0.05 0.2 0.4 What is the probability that X is a negative number. Group of answer choices 0.6 0.4 0.35 1
Soledad and Tania are both high school students. The number of texts Soledad sends daily, S, is approximately Normally distributed with a mean of 100 and a standard deviation of 6 texts. The number of texts Tania sends daily, T, is approximately Normally distributed with a mean of 108 and a standard deviation of 8.1 texts. Assume that S and T are independent random variables. Let D = S – T. What is the probability that Soledad sends more texts on a randomly selected day? 0.104 0.214 0.786 0.896