Question
Asked Jul 16, 2019
119 views

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 113; σ = 19

P(x ≥ 90) = 

check_circle

Expert Answer

Step 1

If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is defined as,

help_outline

Image Transcriptionclose

Z sCore - N(0,1) =

fullscreen
Step 2

Finding the probability, P (x ≥ 90):

It is given that µ = 113 and standard deviation, &sigma...

help_outline

Image Transcriptionclose

P(x290)= PX- i90-113 19 =P(z2-1.21) 1-P(z<-1.21) EXCEL formula: NORM.DIST-.21,0,1, TRUE) -1-0.1131 =0.8869 Thus, the probability, P (x 90) is 0.8869.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Other

Related Probability Q&A

Find answers to questions asked by student like you
question_answer

Q: Hello, Please help me navigate this because I don't even know how tostart answering these questions ...

A: Hello there! I see that there are more number of questions on this graph. I can only help with first...

question_answer

Q: a card is drawn from a standard 52-card deck. what is the probability that the card is a heart card ...

A: In this question we have to find the probability that the card is a heart card or a high card (10, j...

question_answer

Q: The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 profe...

A: Hello there! there are more than three sub-parts in the given question. According to our policies ca...

question_answer

Q: Let N ∼ P oiss(λ) and let Xi be iid Ber(1/2) random variables that take on the values {0, 1} where P...

A: Compound probability distribution:Suppose X is a random variable that follows some probability distr...

question_answer

Q: If you roll a four sided die and a six sided dice ( numbered 1,2,3,4) what is the probability of rol...

A: Given a four sided dice which have numbers 1,2,3,4 and six sided dice have numbers 1,2,3,4,5,6 on it...

question_answer

Q: suppose that a shipment of 120 electronic components contains 4 defective components. to determine w...

A: In this question it has been given thatProbability that a selected electronic component is defective...

question_answer

Q: we are going over the guess and check method. and im having trouble setting up this problem."Rachel ...

A: Racheal is paid 15$ per hour for caretaker job.Racheal is paid 8$ per hour for dog walker job.Let us...

question_answer

Q: Rolling a Die:  A die is rolled 30 times.  What is the expected number of times that a 5 or 6 will a...

A: Binomial Distribution:The probability of obtaining x successes in n independent trails of a binomial...

question_answer

Q: Question # 2 Let A and B be independent events. Show that A-Ω\ A and Bc-Ω\B are independent. Also sh...

A: Independent events:Two or more events are said to be independent if occurrence of one event does not...

question_answer

Q: If the median salary was $1,875,000 for the New York Yankees in 2008 How much was the salary per 10 ...

A: Since total games played were 160, let us find out, salary per game first. For this we divide total ...

question_answer

Q: Question # 5 Suppose I flip a fair coin 20 times. Assumes that the coin flips are indepen- he probab...

A: Introduction:For a fair coin, total number of possible outcomes in 20 flips of a fair coin = 220.Den...

question_answer

Q: How many diffrent four -letter strings can be formed from the letters A,B,C,D,E(repeats allowed) if ...

A: The given letters are  A,B,C,D,E. Out of them B,C,D are consonant, A and E are vowel.The first three...

question_answer

Q: Samples of rejuvenated mitochondria are mutated (defective) with probability 0.2. Find the probabili...

A: In this question, we need to find the probability that at least 6 samples need to examine to find th...

question_answer

Q: See attachment.

A: Given X(n,p) is a binomial random variable with parameters n,p.n is total number of trailsp is proba...

question_answer

Q: The probability density function of the time to failure of an electronic component in a copier (in h...

A: Computing the probability that a component fails in the interval from 465 to 1,943 hours:The random ...

question_answer

Q: in cribbage the card game, I hand of six cards is dealt from a normal deck of 52 cards. What is the ...

A: Gven that a hand of six cards is dealt from deck of 52 cards.We need probability that we have all fi...

question_answer

Q: Given:P(E) = 0.45, P(F) = 0.53, and P(E ∪ F) = 0.67(i) Find P(E ∩ F)(ii) Find P(F | E)a) (i) 0.31 ...

A: Given Two events E and F, probability of P(E) =0.45 and probability of P(F) =0.53 andP(E U F)= 0.67....

question_answer

Q: 3 three sided dice (with sides labeled 1 , 2 and 3) are rolled and their sum is recorded . what is t...

A: There will be total 27 possible events for this experiment.(a) For rolling a sum of 5, there will be...

question_answer

Q: Assume that each of the n trials is independent and that p is the probability of success on a given ...

A: Explanation:Assume that there is a trial that can lead to 2 possible outcomes: one termed the “succe...

question_answer

Q: 12. Suppose the pdf is given by f(x) Cx2 for 1 < I < 2, and zero otherwise. (a) Find the value of C....

A: The total probability under a probability density curve is 1. Integrating f(x) from 1 to 2 and equat...

question_answer

Q: An airport limo has 4 passengers and stops at 6 different hotels.  What is the probability that two ...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

question_answer

Q: . Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever (H), with...

A: For bayes' theorem, its always better to draw probabilities in tree diagram to visually analyse them...

question_answer

Q: On average, a house has 2 repairs per year. a) What is the probability that in the next 3 years, the...

A: a)Average repairs per year is 2.So, the average repairs in the next 3 years is,

question_answer

Q: A company is in the business of finding addresses of long-lost friends. The company claims to have a...

A: The distribution:The company claims to have 80% success rate. There are names of six friends for who...

question_answer

Q: Four Hatfields and two McCoys are up for 3 construction jobs in Williamson. What is the probability ...

A: It is provided that, 4 Hatfields and 2 McCoys are up for 3 jobs.So, total possible ways of getting 3...

question_answer

Q: An optical inspection system is used to distinguish among different part types. The probability of c...

A: Here, X is a random variable that denotes the number of parts that are correctly classified.The numb...

question_answer

Q: If E(X) = 2 and standard deviation of X is 3, what is E(X2)?

A: Variance of X equals the second central moment about 0 minus the square of first central moment. Sym...

question_answer

Q: 2.1 Sales personnel want to further develop the model to include other variables. Merchandise Sa...

A: Introduction to linear regression analysis:Regression analysis is a collection of statistical proced...

question_answer

Q: Suppose, household color TVs are replaced at an average age of μ = 8.4 years after purchase, and the...

A: Note:Hi! Thank you for posting the question. Since your question has more than 3 parts, we have solv...

question_answer

Q: Write (in English, not symbols) the converse, inverse, and contrapositive of the followingstatement ...

A: Given "If you’re Scooby-Doo and you come through, then you’re gonna have yourself a Scooby Snack."If...

question_answer

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: According to the given question,In a random sample of 67 professional actors, it was found that 37 w...

question_answer

Q: Random variables X and Y have the following joint probability mass function:                  p(x,y)...

A: In this question, we have the probability mass function using which we have to answer few questions:...

question_answer

Q: The city is trying to determine future demand for their ice rink to help with staffing decisions. Th...

A: Hello there! I see there are more than 3 subparts in the question. According to our policies we can ...

question_answer

Q: An urn contains five red balls and four white balls.  A sample of two balls is selected at random fr...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

question_answer

Q: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be od...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

question_answer

Q: Bill has three one - piece jump suits, five pairs of work pants and eight work shirts. He wears eith...

A: Bill has 5 pants with each of 8 shirts= 5x8=40.So, Bill has 40 combinations of shirts and pants.

question_answer

Q: A certain game involves tossing 3 fair coins, and it pays 8¢ for 3 heads, 3¢ for 2 heads, and 1¢ for...

A: We have given,A fair coin is tossed 3 times. So, we can have following outcomes{H,H,H}{H,H,T}{H,T,H}...

question_answer

Q: In a Ni-Cd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element tha...

A: Find the mean of the variable x:The general formula to obtain the expected value (mean) of a discret...

question_answer

Q: tion DetailsBBBasicStat8 7.2.015.MI. Ask Your Teacher   My Notes       Question Part S...

A: Given Z score -1.33.With reference to the Z table the probability ( area) to the left of Z score -1....

question_answer

Q: In how many ways can 4 t-shirts, 7 denims, and 4 coats be arranged in a clothing store shelf section...

A: Click to see the answer

question_answer

Q: Let Xi be IID random variables which have the same law as X. Let L(t) = E(e^tX.) Suppose that this i...

A: Moment generating function (MGF):The moment generating function (MGF) of a random variable X, denote...

question_answer

Q: Draw a tree diagram representing the following question and determine the probability: A card is dra...

A: Given that a card is drawn from 52 deck of cards until we have drawn a king or until we have drawn 5...

question_answer

Q: In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston...

A: Denote X as the IQ scores. It is given that X is normally distributed, with mean μ = 115.9 and stand...

question_answer

Q: A poker hand consists of five cards drawn from a deck of 52 cards.  Each card has one of 13 denomina...

A: Event A denotes that among the five cards drawn, three cards of one denomination and two card of ano...

question_answer

Q: Approximately 1 in 500 African Americans has sickle cell anemia (National Center for Biotechnology I...

A: Explanation:It is given that 1 in 500 African Americans has sickle cell anemia. Thus, it can be said...

question_answer

Q: Need help on this concept

A: Hello. The information about the nine sheets of paper is missing in the question and hence we are no...

question_answer

Q: Samples of rejuvenated mitochondria are mutated (defective) with a probability 0.17. Find the probab...

A: Probability of mutated mitochondria = 0.17It means that if we take a sample of mitochondria there is...

question_answer

Q: Find z such that 60% of the standard normal curve lies to the left of z. (Round your answer to two d...

A: It is required to find the z-value such that, P (Z &lt; z) = 0.60.

question_answer

Q: 1.4.12 Let Q(x) be the statement “x+ 1 &gt; 2x.” if the domain consists of all integers, what are th...

A: Given statement Q(x)  "x+1 &gt; 2x"Domain consists of all integers.∃xQ(x) means there exists a value...

question_answer

Q: In a student body, 50% use Google Chrome, 12% use Internet Explorer, 10% Firefox, 5% Mozilla, and th...

A: Click to see the answer