A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can planwhat classes to offer. Over the years, she has established the following probability distribution.Let X = the number of years a student will study ballet with the teacher.Let P(x) = the probability that a student will study ballet x years.Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.)P(x)x*P(x)10.1020.1030.1040.3060.2070.05Additional MaterialsO Reading

Let X be the random variable having probability mass function then we have to complete the given…

Answered: A ballet instructor is interested in…

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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A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course: A, B, C, D, or F. The distribution of grades over the past 2 years is as follows: GRADE NUMBER OF STUDENTS A 80 B 75 C 90 D 30 F 25 Total 300 If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course?
According to Reader's Digest, 50% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 390 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within +0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within 10.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would -Select your answer - This is because the increase in the sample size makes the standard error, ,- Select your answer - ✪
Autumn has purchased the insurance policy from an insurance company to cover the value of hers house in case if it gets destroyed due to a fire for the price of $1600 per year. Autumn's house is worth $370000 and the probability that fire destroys the house during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) the house is destroyed the house survived 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
The table below shows the probability distribution of job satisfaction scores (1 - 4) for a group of senior executives. A score of 1 indicates a strong dissatisfaction with their jobs; a score of 4 indicates a strong satisfaction with their jobs.Note that you must complete both parts a. and b. to receive any marks for the remaining parts of this question.a. Complete the missing value in the following table. Round to at least FIVE decimals if necessary. Job Satisfaction Score Probability of Score 1 0.2 2 3 0.27 4 0.26 b. What is the expected job satisfaction score for this group of senior executives?Answer: Do NOT round your answer!c. What is the standard deviation of the job satisfaction score for this group of senior executives?Answer: Round to at least FIVE decimals if necessaryd. Suppose a senior executive expects to earn an additional 4350 dollars per year for each job satisfaction score point. The executive also will receive a fixed 250 dollar yearly raise and…
If the probability that a randomly chosen college student takes statistics is 0.75, then what is the probability that a randomly chosen college student does not take statistics? Give your answer as a decimal.
The time to fly via a commercial airliner from Newark airport to Atlanta follows a uniform distribution and ranges from 120 minutes to 140 minutes. What is the probability that a flight is more than 128 minutes? Express answer as a percent with 1 decimal
The table summarizes results from 984 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 60 86 No 252 586 If two different pedestrian deaths are randomly selected, find the probability that they both involved drivers that were intoxicated. Report the answer as a percent with two decimal places accuracy. (You need not enter the "%" symbol).Probability = %
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 49 college students are randomly selected, find the probability that exactly 14 of them major in STEM. Round to 4 decimal places. ?
In a recent year, there were 2,515,458 deaths, and 787,650 of them were due to cardiovascular disease. The cause-of-death ratio is expressed as follows: If three of the deaths are randomly selected, find the probability that none of them are due to cardiovascular disease. Round off to 3 decimal
The probability that a house in an urban area will develop a leak is 6%. If 13 houses are randomly selected, what is the probability that none of the houses will develop a leak? Round to the nearest thousandth.
At a particular college 19 percent of the students major in Business. All Business majors are required to take a Statistics Course. Of the students not majoring in Business, 42 percent of them still have to take a Statistics Course. What is the probability that a student has to take a Statistics Course at this particular college? Type your anser as a decimal to 4 decimal places.
Make your own 2 example of skewness and kurtosis

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