Based on findings, the average monthly salary of 800 college professors in the university belt area is normally distributed with a mean of Php 55, 000.00 and standard deviation of Php 5,000.00 Find: a) The z-score of a professor with an income of Php65, 000.00 b) The probability that a randomly selected professor has a monthly salary of Php 60,000.00 c)The probability that a randomly selected professor has a monthly salary between Php 45, 000.00 and Php 58, 000.00

Based on findings, the average monthly salary of 800 college professors in the university belt area is normally distributed with a mean of Php 55, 000.00 and standard deviation of Php 5,000.00 Find: a) The z-score of a professor with an income of Php65, 000.00 b) The probability that a randomly selected professor has a monthly salary of Php 60,000.00 c)The probability that a randomly selected professor has a monthly salary between Php 45, 000.00 and Php 58, 000.00

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: A consignment of 180 articles is classified according to the size of the article as under. Find the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. The average credit card debt for 500 college seniors is Php3762. If the debt is normally…

A: Given,mean(μ)=3762standard deviation(σ)=1100sample size(n)=500

Q: Assume that the blood pressure data is normally distributed with a mean of 70.2 and a standard…

A: The variable x¯ is defined as the mean blood pressure levels. The sample size is 16, mean is 70.2,…

Q: e monthly utility bills in a city are normally distributed, with a mean of $100 and a standard…

A: Given: Mean, μ=100 Standard deviation, σ=15 (a) Probability that a randomly selected utility bill…

Q: (a) Find the percentage of women who should have heights of 63.5 inches or less. (b) In a…

Q: 2. The average daily income of 2000 workers is Php 185.00 with a standard deviation of Php 18.00.…

Q: suppose that vehicle speeds at an interstate location have a normal distrubution with the mean equal…

A: Solution-: Given: μ=112km/h,σ=12.9km/h We want to find, (a) The z score for a speed of 103 km/h ?…

Q: at on one section of the SAT the mean is 500 and the standard deviation is 100, what is the…

A: From the given information, Consider, X be the random variable that shows the scores of a students…

Q: There are 500 employees in Company ABC of which the mean salary per day is Php385.00 with a standard…

A: Given information: In a company ABC, there are 500 employees. Let X be the random variable denoting…

Q: A group of 123 bunnies had a mean hopping distance of 48 inches and a standard deviation of 3.5…

A: To find the number of: a) Bunnies will hop between 41 and 44.5 inches b) Bunnies will hop between 48…

Q: A construction laborer is asked to make stirrups for their project and notices that the average…

A: Let X be the length of steel bars. X follows normal distribution with Mean μ=30cmStandard deviation…

Q: The City Transport and Traffic Management Office (CTTMO) study of 8000 vehicles that passed the…

A: Given,The CTTMO study of 8000 vehicles that passed the diversion highway foundMean (μ) = 61 mphand…

Q: he monthly utility bills in a city are normally distributed, with a mean of $100 and a standard…

A: Let X be the monthly utility bills in a city are normally distributed with mean μ=$100 and standard…

Q: A manufacturer claims that the mean weight of its ice cream cartons is 10 ounces with a standard…

A: The random variable is weight of ice cream cartons. The population mean is 10 ounces. The population…

Q: n their website, a property management company states that the mean monthly rent for apartments on…

A: Given: Population meanμ=675Sample size(n)=20Sample standard deviation(s)=21

Q: According to the records of an electric company serving the Boston area, the mean electric…

A: The mean and standard deviation are 1650 and 320, respectively.

Q: There are 500 employees in Company ABC of which the mean salary per day is Php385.00 with a standard…

A: From the provided information, Population size (N) = 500 Mean (µ) = 385.00 Standard deviation (σ) =…

Q: A researcher measured the walking speed of travelers in the crazy town municipal airport and banana…

A: The null and alternative hypothesis is,

Q: Calculate a 99% CI on the standard deviation of teacher height guesses.

A: The degrees of freedom is, df=n-1=122-1=121 Critical Value: The left critical value is obtained from…

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

Q: The ages of single parent are normally distributed, with a mean of 38 and a standard deviation of…

A: Given: Population mean μ=38 Population standard deviation σ=4 Let X be the normal distribution…

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: The mean and standard deviation are 1650 and 320, respectively.

Q: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…

A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n) = 25 By using standard normal…

Q: of 5.78 cups per day. Use the 0.010 significance level. a. State the null and alternate hypotheses.…

A: Note:According to Bartleby Expert guidelines, we can answer only first three subparts of a question…

Q: Suppose that an airline uses a seat width of 17.2 in. Assume men have hip breadths that are normally…

A: Let "X" be the hip breadths of men.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.5…

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

Q: The mass, m, of a particular hand-laid fiberglass part is normally distributed with a mean of 66 kg…

A: Given,mean(μ)=66 kgstandard deviation(σ)=5kg

Q: The annual incomes of middle management employees is approximately normally distributed with a mean…

Q: The average rate per hour of an employee in a fastfood chain is Php 38 with a standard deviation of…

A: Given Population mean μ=38, standard deviations σ=5 Let X be the rate per hour of an employee in a…

Q: The width of bolts of fabric is normally distributed with mean 950 mm (millimeters) and standard…

A: (a) Obtain the probability that a randomly chosen bolt has a width of between 947 and 958 mm.…

Q: Assume the average income of workers in jordan equal 400 JD, a sample of 500 workers are taken and…

A: please see the next step for solution

Q: Choose a random five single digit numbers and calculate the standard deviation. X {…. , ….. , ….. ,…

A: There are total 10 single digit numbers available, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Out of these 10…

Q: Assume the annual day care cost per child is normally distributed with a mean of $7000 and a…

A: Given information: Given that the annual day care cost per child is normally distributed with mean m…

Q: In a medical examination ,300 people undergo a height measurement and was found out that the average…

A: From the provided information, Population (N) = 300 Average height (µ) = 150 Standard deviation (σ)…

Q: If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters…

A: Given Data: Mean=36.5 SD=2.4

Q: Based on record, the mean weight of the newborn babies is 4.8lbs with a standard deviation of…

Q: According to the US energy administration, the mean monthly household electric bill in the united…

Q: Suppose the distribution of typing speeds in words per minute for experienced typists can be…

A: Solution: Let X be the typing speed in words per minute. From the given information, X follows…

Q: 1. The test scores in MAT 152 are normally distributed with a mean of 95 and a standard deviation of…

Q: A local credit card agency reported to the government that the unpaid balance for their customers…

A: Specify the number of customers must be randomly sample by an auditor to ensure that the central…

Q: ordinary traveler claims that the average difference between the plane fares of all trips from the…

A: Given : Claim : The average difference between the plane fares of all trips from the Philippines to…

Q: cholesterol levels in men aged 18 to 24 are normally distributed with a mean of 178.1 and a standard…

A: Consider a random variable X which represents the serum cholesterol levels in men aged 18 to 24.…

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

A: Given that Population Mean=4.8 Standard deviation=0.75 Sample size=60

Q: The standard deviation for the mmber of pages in a pdf document having a discrete uniform…

A: We need to find the standard deviation for the number of pages in a pdf document having a discrete…

Q: mean cost of a new Sport Utility Vehicle (SUV) has been found to be $42,500 with a standard…

A: Given that: μ = $ 42500 ? = $ 2500 By using standard normal distribution we solve this problem

Q: A construction laborer is asked to make stirrups for their project and notices that the average…

A: The average length of the rebars is 30 cm. The standard deviation of the rebars is 2 cm.

Q: Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a…

A: It is given that the mean is 12.00 and the standard deviation is 0.11.

Q: According to the Annual survey of drugs expenditure in country X, the annual expenditure…

A: Let X be the random variable such that drugs expenditure in-country x̅: Sample mean of drugs…

Q: The average hourly wage for a certified dental assistant is $17.37 per hour, with a standard…

Q: According to the US energy administration, the mean monthly household electric bill in the united…

Question

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