Suppose that a random sample of size 64 is to be selected from a population with mean 50 and standard deviation 5.USE SALT(a) What are the mean and standard deviation of the sampling distribution of X?Mxμ- = 50o = 0.625XDescribe the shape of the sampling distribution of x.The shape of the sampling distribution of x is approximately normal(b) What is the approximate probability that x will be within 0.5 of the population mean µ? (Round your answer to fourdecimal places.)(c) What is the approximate probability that x will differ from μ by more than 0.6? (Round your answer to four decimalplaces.)

Answered: Image /qna-images/answer/f1f95240-bb74-4fa3-a2fd-b7389b6a87f5.jpg

Answered: (b) What is the approximate probability…

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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The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages (x) in the city has the following probability distribution. The mean for the number of electrical outages is ________. Please show your solution.
The time between the arrival of electronic messages at your computer is exponentially distributed with a mean of two hours. What is the probability that you do not receive a message during a four-hour period? a. NONE O b. 0.8647 C. 0.3679 d. 0.1353
For a normally distributed variable X with mean 40 and standard deviation 1O, what is the probability that X equals exactly 30? In notation, what is P(X = 30) ? O 0.841 O 0.242 O 0.159
this helps... but the question is asking what is the expected times we would flip a head. My thinking is that we use the same approach as above but replace the [1..9] with 0 for (1/2)^10 and 1 for (1/2) .. (1/2)^9. I'm also not sure how to handle if the 10th flip is a head? Thanks!
parts of question 7. solve A-E A. Compute P(X = 3) for n = 5, p = 1 B. Ken is a waiter at a restaurant. His customers tip 15% or more 80% of the time. Find the probability that four of the next six customers will tip 15% or more? C. Find the z-score if x = 2.65, mean = 0, σσ = 1.0. D. An IQ test has a mean of 100 and standard deviation of 15. Find what percentile is someone who scored a 122 on an IQ score? E. A normal distribution has a mean of 168 and a standard deviation of 10. Find the percentage of scores that fall between 155 and 169.
For numbers 14-15 What is the probability of z value indicated by P(Z > -1.78)? Illustrate your answer using bell curved 1/3
Can someone explain it to me why I’m getting wrong answer??!!!
The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 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 ±0.05 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 -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
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(b) What is the approximate probability that x will be within 0.5 of the population mean μ? (Round your answer to four decimal places.) (c) What is the approximate probability that x will differ from μ by more than 0.6? (Round your answer to four decimal places.)