10. Consider the following three step experiment:Step1: Choose a coin from a bag containing 10 coins, 9 of which are fair F, and theremaining unfair U with P(H) = 0.8.Step2: toss the chosen coin (can land H or T) in Step (1).Step 3: If the coin lands H we roll a fair 4-sided die with labels 1, 2, 3, 4Else we roll a die with distribution120.230.3 0.2 0.34Let E =Die rolls to an even number, and Ftossed coin is a fair coin, G = Coin lands heads.(a) Draw a labelled tree diagram for this experiment.(b) List out all outcomes in the events E, F, and G.(c) Calculate P(E), P(F), P(G), P(E|F), P(F|G), P(E|G)(d) Are E and F independent? Are F and G independent? Are E and G independent?

I'll guide you through answering each part of this probability question step by step.(a) To draw a…

Answered: 10. Consider the following three step…

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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1.The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8880 observations, the sample mean interval was x1 = 63.0 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 25,691 observations, the sample mean time interval was x2 = 70.2 minutes. Historical data suggest that ?1 = 8.70 minutes and ?2 = 12.48 minutes. Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. (a) Compute a 95% confidence interval for ?1 – ?2. (Use 2 decimal places.) lower limit upper limit (b) Comment on the meaning of the confidence interval in the context of this problem. Does the interval consist of positive numbers only? negative numbers only? a mix of positive and…
The experiment chart below indicates the results after spinning the arrow ten times. (BB = blue, PP = pink, YY = yellow; so 3B3B means that the spinner landed on 3 which is blue.) Trial Number 1 2 3 4 5 6 7 8 9 10 Outcome 8Y8Y 6B6B 6B6B 1B1B 6B6B 2Y2Y 8Y8Y 3B3B 7P7P 1B1B Fill in the following chart for the probability of the results of the next spin. Event Write the probability notation using symbols.Use B for blue, P for pink, Y for yellow. Type the words "or" or "and" when needed and leave a space between letters and conjunctions. Experimental Probability(Enter as reduced fraction.) Theoretical Probability(Enter as reduced fraction.) Land on yellow Answer = Answer Answer Landing on blue and 3. Answer = Answer Answer Landing on a blue or a pink. Answer = Answer Answer Landing on a pink or an odd number. Answer = Answer Answer Landing of yellow and odd. Answer = Answer Answer
Suppose you want to test how fair is the coin. You conduct the following experiment. You flip the 2 coins multiple times and observe HH - 31 times, HT - 15 times, TH - 15 times, and TT - 22 times. What is the Test Statistics to test the Null Hypothesis that the coin is fair against the alternative hypothesis that the coin is unfair?
S5.2. Only 2% of the items produced on a new machine are defective. Assume that two parts produced on the machine are selected randomly and you are interested in the number of defective parts.a) Draw a tree diagram showing this as a two-step experiment.b) Build the probability distribution of X.
16. The height of Iowa corn stalks (in cm) have a N(μ1,σ1) distribution, while the height of Nebraska corn stalks have a N(μ2,σ2) distribution. It is known that σ1 ̸= σ2. A random sample of corn stalks from Iowa and Nebraska yielded the following summary statistics. Iowa: n1 =15 x ̄1 =155 s1 =16 Nebraska: n2 =17 x ̄2 =145 s2 =10 Suppose we wish to test H0 : μ1 = μ2 versus Ha : μ1 doens't equal μ2 at the α = 0.10 significance level. What is the value of the test statistic (TS) and critical value (CV )? 17. In reference to question (16), which of the following is/are true? (A) The p − value ∈ (0.02, 0.025)(B) We have evidence that μ1 = μ2(C) There is a significant difference between μ1 and μ2 Answer choices: A) and (C) (B) and (C) (B) Only (C) Only (A) Only (A) and (B
1. For a binomial experiment in which n = 25, Ho: π = 0.70, and y obs (the observed number of successes) = 20, a. Calculate the p-value for Ha: 0.70. b. Calculate the p-value for Ha: c. Calculate the p-value for H₂: π * 0.70.
3. Suppose Y,Y,.Y,0 are iid from a geometric (p) distribution.. If p = 0.20, use the CLT to approximate the probability the sample sum T will be larger than 3000

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