Please do this short answer question correctly We are going to roll 5 independent dice (like playing Yahtzee - but we will only roll once). The sum of the values of the dice can range anywhere from 5 (a roll of all 5 dice being a 1) to 30 (a roll of all 5 dice being a 6). I have determined that (to the 6th decimal) P(sum of values of the dice ≥ 8) = .997299. (i) Determine the P(sum of values of the dice ≤ 7) (to the 6th decimal). (ii) Provide a brief explanation as to the reason why your answer is correct.

Please do this short answer question correctly We are going to roll 5 independent dice (like playing Yahtzee - but we will only roll once). The sum of the values of the dice can range anywhere from 5 (a roll of all 5 dice being a 1) to 30 (a roll of all 5 dice being a 6). I have determined that (to the 6th decimal) P(sum of values of the dice ≥ 8) = .997299. (i) Determine the P(sum of values of the dice ≤ 7) (to the 6th decimal). (ii) Provide a brief explanation as to the reason why your answer is correct.

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...

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We want to assess the relationship between class rank and how many minutes a person spends on social media. We randomly select 5 students from UMD and have them report their class rank and number of minutes per week they spend on social media. We get the following data. Because class rank is ordinal data, we want to compute Spearman's rho. Please compute the numerator for Spearman's rho and use 4 decimal places for all computations and final answer. (the numerator is referring to the numerator of the fraction, not including the 1- part) Minutes on Social Class Rank Media per Week 100 1,302 500 25 250 10 600 50 200
Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
Please answer this question asap I will rate you for sure. The fair dice are rolled at once. Let x denotes the positive difference in the number that appears on the top faces of the two dice. Find the P(x)=(3).
Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2. (a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "=", "not =" and express any values as a fraction e.g. p = 1/3) Ho p= 1/6 = Ha= p > 1/6 (b) Now suppose Matt makes n = 34 rolls, and a 2 comes up 7 times out of the 34 rolls. Determine the P-value of the test: P-value = | (c) Answer the question: Does this sample provide evidence at the 5 percent level that Matt rolls a 2 more often than you'd expect? (Type: Yes or No) no
need answer and all the work
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In this question, the real numbers in your answers should be given with three significant digits of accuracy after the decimal point. The public health authorities of a small town have divided the population into three categories: covid- negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. • Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised. (a) After representing the population in a given week as a column vector v = [n; p; h], where n, P, and h represent the number of people in the population who are negative, positive, and hospitalised respectively, write down a matrix M for which [n', p', h'] = M[n;…
Please clearly shows the steps. I'm not sure if my answer(1/3) is correct, so please just ignore it and calculate by yourself.
Solve it correctly please. I will rate accordingly