**Scenario: Probability Calculation**The average starting salary of individuals with a master's degree in statistics is normally distributed with a mean of $53,400 and a standard deviation of $6,000. What is the probability that a randomly selected individual with a master’s in statistics will get a starting salary of at least $62,200?**Multiple Choice Options:**- ○ 0.048- ○ 0.071- ○ 0.429- ○ 0.941This question involves calculating the probability in a normal distribution scenario using the given mean and standard deviation.

Here given salary is normally distributed with Mean = μ= $ 53400 SD=σ= $ 6000

Answered: The average starting salary of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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César Chávez Day is observed in the United States on March 31 each year. It celebrates the birthday of César Estrada Chávez and it serves as a tribute to his commitment to social justice and respect for human dignity. On this day, people celebrating this holiday usually spend on average $1000 with a standard deviation of $200. A random sample of 34 celebrants were surveyed, what is the probability that the mean amount spent by the sample was more than $1100? Leave your answer in 4 decimal places
A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $273,700.Assume that the standard deviation of the prices is $80,000. If you select a random sample of n=100, what is the probability that the sample mean will be less than $290,000?
Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
Billiard tables have mean degree of balance 0 and standard deviation 1. What is the probability that the degree is 0.01.
the average sales price of a single-family house in the U.S. is $235,500. you randomly select 12 single family houses. what is the probability that the mean sales price is more than $225,000? assume that the prices are normally distrubuted with a standard deviation of $50,000.
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.)
Costs for standard veterinary services at a local animal hospital follow a Normal distribution with a mean of $74 and a standard deviation of $22. What is the probability that one bill for veterinary services costs between $41 and $107?
Student loan debt is the only form of consumer debt that has grown since the peak of consumer debt in 2008. The average student loan of somebody younger than 30 is
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $840 and a standard deviation of $260. Assume that the balances on all these Visa cards follow a normal distribution.a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1050 and $1420?Round your answer to three decimal places.P= Enter you answer in accordance to the item a) of the question statementb. What percentage of the Visa cards issued by this bank have a balance of $735 or more?Round your answer to two decimal places.P= Enter you answer in accordance to the item b) of the question statement %
The following is a list of 15 measurements. -16, – 39, -6, -47, 24, –65, – 80, 29, 74, 53, 50, 26, 11, 33, –23 Send data to calculator Send data to Excel Suppose that these 15 measurements are respectively labeled x,, x,, ..., x,5: (Thus, -16 is labeled x,, -39 is labeled x,, and so on.) Compute the following. 15 41 + i = 1
Please explain. Thanks.
The annual income of residence in certain county is normally distributed with a mean of $42,000 and a standard deviation of $10,000. What is the probability that a randomly chosen resident has income over $52,000? 68%16%32%50%

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