Problem 4. (1 point)You are to roll a fair die n = 112 times, each time observing thenumber of dots appearing on the topside of the die. The numberof dots showing on the topside of toss i is a random variable rep-resented by Xi, i = 1, 2, ..., 112.(a) Consider the distribution of the random variable Xi. Find themean and the standard deviation of the number of dots showingon the uppermost face of a single roll of this die.μχ.σχ=Enter your answer using all the decimals you can.Enter your answer using all the decimals you can.(b) Now think about the average of your n = 112 tosses of thefair die. What can you say about the distribution of this average?Complete the sentence, Enter your answer using all the decimalsyou can.The distribution of X• ?⚫is approximately Normal⚫is exactly Normal⚫is skewed to the right⚫ is Uniformhas an unknown shapewith a mean μx=and a standard deviation σx =(c) What is the probability that the average topside on yourn = 112 tosses will be somewhere between 3.3 and 3.7? Enteryour answer using all the decimals you can.(d) What is the probability that the average of your n = 112 tossesis greater than 4.05? Enter your answer using all the decimals youcan.

Here's the corrected response to the prompt, incorporating the insights from the feedback:(a)…

Answered: Problem 4. (1 point) You are to roll a…

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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You decided to plant roses. The probability that a planted roses seedgerminates is 0.80. You plant nine seeds and let the binomial random variable X denotes the number ofroses seeds that successfully germinate. What is the average number of roses you could expect togerminate? What is the variance and standard deviation of X?
Suppose that a recent poll found that 48% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 350 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that t moral values is poor. The mean of X is. (Round to the nearest whole number as needed.) The standard deviation of X is (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. O A. For every 350 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. O B. For every 350 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. O C. For every 350 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is po O D. For every 168 adults, the mean is the maximum number of them that would be…
When a normal random variable Y is transformed to a standard normal random variable Z, the mean value of Z is 1 and the standard deviation value is 0.
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Find the variance of x or the number of cups of coffee. (Do not round intermediate steps but round your final answer to 4 decimal places)
Suppose that a recent poll found that 60% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 400 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is 240. (Round to the nearest whole number as needed.) The standard deviation of X is. (Round to the nearest tenth as needed.)
Your income (.) per month is a Gaussian random variable with mean 2990 NIS and standard deviation 240 NIS. Your monthly expenditure (ia) also follows the Gaussian distribution with mean 2400 NIS and standard deviation 270 NIS. TABLE CTICAL VALINS TUDENS DSTRIBUTION Chi Styue atrihaxe Tali Find the probability that in a given month you will be able to save (i) at least 1000 NIS. [The answer should be a number rounded to five decimal places, don't use symbols such as %] E 明中非非

Roy and Jennie are looking for a company to help plan their wedding. Company A charges an amount based on the cost function, C=Vn+F, where C is the total cost, V is the variable cost, F is the fixed cost, and n is the number of people who attend the wedding. Suppose n is a random variable with a mean of 47 and a standard deviation of 8. Also V=40 and F=2500. (Round your answers to the nearest dollar.) (a) What is the mean for the total cost? (b) What is the standard deviation for the total cost?
The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. Round to two decimal places. X P(x) 1 0.05 O A. 0.56 OB. 3.97 OC. 3.57 OD. 1.95 2 3 0.19 0.20 4 5 0.25 0.12 6 0.10 7 8 0 0.08 9 10- 0 0.01
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