The examination score of a standardized exam follows a normal distribution with mean 50 and standard deviation 15. (a) “Boy” scored 60 on this test. What percentage of the participants scored higher than him? (b) “Joy” scored 72 on this test. What percentage of the participants scored lower than her? (c) Find the percentage of participants’ scores below 35.

The examination score of a standardized exam follows a normal distribution with mean 50 and standard deviation 15. (a) “Boy” scored 60 on this test. What percentage of the participants scored higher than him? (b) “Joy” scored 72 on this test. What percentage of the participants scored lower than her? (c) Find the percentage of participants’ scores below 35.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: At a certain high school, the Prom Committee is going to choose new members. There are 8 students…

A: Given data 8 students from the junior class 6 students from the senior class no. of ways to choose…

Q: Find the probability that the model will predict bankruptcy for a firm. b/ Find the probability that…

A: Let us define some events A : a firm will bankrupt. B : a firm will not bankrupt. E : a model…

Q: 3. Let X₁, X₂,..., X, be a random sample from the uniform, U(0, 0) distribution and Y₁₁ = max (X₁,…

Q: Let X be a random variable having a uniform distribution on the interval [2; 14]. Find the…

A: Given that X ~ Uniform (2,14) Pdf of X is f(x) = 1/(14-2) = 1/12 , 2<x<14 Note : According to…

Q: In a given week a veterinarian treated the animals in the agonist table. Use this information to…

A: From the provided information, The data table is as follow: Animal Number treated Dog 50 Cat…

Q: Let S = {a, b, c, d, e, f} with P(a) = 0.14, P(b) = 0.24, P(c) = 0.21, P(d) = 0.15, P(e) = 0.13, and…

A: From given we have : S = {a, b, c, d, e, f} P(a) = 0.14 P(b) = 0.24 P(c) = 0.21 P(d) = 0.15 P(e) =…

Q: 3. A fair three-sided die and a fair six-sided die are rolled simultaneosly, what is the probabiliy…

A: Let a fair three-sided die is rolled, its possible outcomes are 1, 2, 3 If a fair six-sided die is…

Q: Boris, Priti, and Sajid are due to attend a meeting. A curious observer records their actual…

A: Given problem Given that Boris, Priti and Sajid are due to attend a meeting. A curious observer…

Q: 2) The fitness center receives an average of two emails from customers every three minutes. a. What…

A: GivenAn averge of 2 emails from customers every three minutesLet "x" be the no.of no.of mails…

Q: question in my homework asks me to: Identify the type of sampling used (random, systematic,…

Q: Use the situation below to complete Exercises 1-4. The heights (in inches) of the starting players…

A: The data is given by X : 72, 75, 78, 72, 73, and the sorted data is X : 72, 72, 73, 75, 78 Note :…

Q: Q4) Let X be a random variable whose PDF is given by The PDF of Y = can be found as (b/n) a)²+y² b)…

A: Let X be the random variable whose pdf is given by fX(x)=(b/π)b2+x2

Q: what is P(b)

A: Solution:

Q: The distance, X, between flaws on a long cable has an exponential distribution with a parameter…

A: Given Information: A random variable X denotes the distance between flaws on a long cable. It is…

Q: An urn has 19 balls that are identical except that 6 are white, 8 are red, and 5 are blue. What is…

A: 6 white 8 red 5 blue ________ 19 total select 3 without replacement P(all 3 white) = ?

Q: Q3. (a) Find the mean, median of the following data: C.I. 2-10 11-20 21-30 31-40 41-50 51-60 f 2 5 7…

A: Note: According to bartleby expert questions answers guidelines an expert can solve only one…

Q: Linear model - test if beta is estimable Exercise 3.9.1 Consider the model y; = Bo + B₁x₁1 + B2x2 +…

A: obs. y x1 x2 1 -2 4 2 2 7 -1 -3 3 2 2 0 4 5 0 -2 5 8 -2 -4 6 -1 3 1…

Q: Use the data in the table below, which shows the employment status of individuals in a particular…

A: Age Full-time Part-time Unemployed total 0—17 27 180 360 567 18—25 190 198 233 621 26—34 317…

Q: A survey of 110 students on three electronics devices, smart watch, tablet and laptop, produced the…

A: here given 110 students survey on three electronics devices. so, sample space is 110 students.…

Q: Suppose that Z₁, Z2,..., Zn are statistically independent random variables. Define Y as the sum of…

Q: Let A, B, C be three events. Denote by Aº the complement of A. It is given that Pr(C|B) = 0.94,…

A: Let A, B, C be the three events. and Ac be the complement of A. Also given that, P(C|B)=0.94,…

Q: 6. [X] Let A₁, A2, A3,..., Ak be k mutually exclusive events. Here, k is some positive integer.…

A: The A1,A2,A3,...,Ak be k mutually exclusive events k is a positive integer. The events that can not…

Q: Q1: Determine the duration of project for the activities shown below, and find the critical path,…

Q: Question 4 A family software company operating in 4 cities in the UK would like to automate customer…

A: Let the random variable X denotes the number of complaints received when being served by a virtual…

Q: There is a 30% chance that any current client of company A will switch to company B this year. There…

A: Solution:- We can use a Markov Chain to model the number of clients for each company over time. A…

Q: For a fishing trip, Mai is going to choose lures to put in her tackle box. She has 6 lures that are…

A: From the provided information, Number of lures (buzz baits) =6 Number of lures (jigs) = 9 Total…

Q: The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds,…

A: GivenThe depth at which whales dive is "y" in feetthe duration of the dive is "t" in secondsLinear…

Q: group of friends want to have a study session to prepare for their four semester exams: math,…

A: Group of friends want to have a study session to prepare for their four semester exams: math,…

Q: The labeled potency of a tablet dosage form is 100 mg. Ten individual tablets of a batch are assayed…

A: Observations (x) 101.8 102.6 99.8 104.9 103.8 104.5 100.7 106.3 100.6 105

Q: Example: If 25 percent of all patients with high blood pressure have bad side effects from a certain…

A: Given that p = 25% = 0.25 , n = 120

Q: A bookstore is planning to open a new store at Morabadi ground near Ranchi University that houses…

A: For answering this question we need to make some assumptions as follows : 1. The size of a store…

Q: A random sample of size n₁ = 14 is selected from a normal population with a mean of 76 and a…

A: Given Information: First: Sample size n1=14 Mean μ1=76 Standard deviation σ1=7 Second: Sample size…

Q: )An 80% accuracy rate is claimed for smart missiles currently being used by the military. If 20…

A: We have given that p = 80% = 0.80n = 20 Here we will use binomial distribution because probability…

Q: Solve step by step in digital format 7.- A group of 8 friends wants to play in a fast soccer…

A: Total players = 8 friends In tournament : Maximum number of players = 5 Different ways they can…

Q: Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to the following…

A: As per the guidelines I'm allowed to answer first question only. The answer to 1st question is as…

Q: Let X be a standard normal RV. Suppose Y = 2X+3 and Z = -X+6. a) Find the covariance between Y and…

A: Here we have given X is standard normal variate Y = 2X+3 AND Z =-X+6 We have to find the following.

Q: Use the Student's t distribution to find to for a 0.95 confidence level when the sample size is 19.…

A: Solution:

Q: Based on Julie's Semester 1 Mathematics 1 Quiz scores, the probability that Julie obtains a perfect…

A: Given data P(perfect score) =p = 0.7no. of trials (n) = 6X = no. of quiz julie obtains perfect score

Q: 8, Suppose that the number of customer who enter a post office on a given day is a Poisson random…

A: Given information: The number of customers who enter the post office is denoted by Z. The number of…

Q: ubject: Fundamental of Logic Give the conclusion of the following implication. The chair in the…

A: The truth value of some statements is derived from the facts of the world and these statements…

Q: Q3\For the next data: Class limit Frequancy 39-45 11-17 18-24 25-31 15 10 25 44 Calculate:…

A: Given data, Class limit Frequency 11-17 10 18-24 15 25-31 25 32-38 37 39-45 44 46-52…

Q: find the expected return on a $1 ticket. (Round your answer to two decimal places.) $

Q: h) What is the median of X?

A: Given information rate=1/12

Q: Suppose we define A as the event of obtaining {1, 3, 5}, and event B as the set {1,5,6}. (a) Are…

A: Solution:- Given that A = {1, 3, 5}, and event B ={1,5,6}. (a) A∩B={1,5} No, events A and B are…

Q: n a neighborhood, 90% children were falling sick due to flu and 10% due to measles and no other…

A: Given Information: 90% children were falling sick due to flu. 10% children were falling sick due to…

Q: Justin Bieber and Shawn Mendes are play- ing a game of Raw-Egg roulette. A bowl contains five…

A: From the given information, Justin and Shawn are playing a game of Raw-Egg roulette. A bowl contains…

Q: Lecturers at a university intend to see the effect of stress relief strategies such as deep…

A: Xbar1=61, s1=17,n1=17 Xbar2=67, s1=19,n1=11 Ho : “The average marks are the same, i.e.,Ha : “The…

Q: Mali company has a contract to sell 350 bikes to a customer for $200 each and the customer has the…

A: Solution:- Given that Mali company has a contract to sell 350 bikes to a customer for $200 each…

Q: A 2-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand…

A: select 2 card hand from 52 card deck. there are 13 heart card and 39 non heart cards. P(exactly 2…

Q: 1.4-2. Let P(A) = 0.3 and P(B) = 0.6. (a) Find P(AUB) when A and B are independent. (b) Find P(AB)…

A: Given that P(A)=0.3 P(B)=0.6 The addition rule of the probability for two events A and event B is…

Question

100%

The examination score of a standardized exam follows a normal distribution with mean 50 and standard deviation 15.
(a) “Boy” scored 60 on this test. What percentage of the participants scored higher than him?
(b) “Joy” scored 72 on this test. What percentage of the participants scored lower than her?
(c) Find the percentage of participants’ scores below 35.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution