Rework problem 8 from section 3.1 of your text, involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.5, Pr[G] = 0.6, Pr[En F] = 0.3, Pr[EnG] = 0.35, Pr[F nG] = 0.35, and Pr[En FnG] = 0.25;. Find the following probabilities: (1) PrE' n F' nG] = 2. pr[E u F u G]
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Rework problem 8 from section 3.1 of your text, involving
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- Question 6Question 2 2.1. Let Y,, Y, ., , be a random sample of size 4 from an exponential with parameters and ß = 2 2.1.1. Use the mgf to derive the probability distribution of the sample mean Y. 2.1.2. What is the expected value and the variance of the mean?QUESTION 13 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. You calculated the f-ratio above. The corresponding p-value for the f-ratio you calculated is p = 0.78. Do you accept or reject the null hypothesis? O You accept the null hypothesis because your p-value is greater than .05 and not significant. O You reject the null hypothesis because your p-value is greater than .05 and significant. O You accept the null hypothesis…
- QUESTION 5 a) The following table shows that 100 patients infected with COVID-19 for stages 1 to 4 on a particular day were reported at Hospital XYZ. X Frequency i) Find the value of n. 1 10 2 20 iii) Calculate the standard deviation of X. 3 n 4 40 ii) Calculate the probability that the number of patients infected with COVID-19 is at most stage 2.Question 3 The number of accidents which occurs per week on Johnson's Highway follows the Poisson distribution with mean 1.2. A. B. C. Find the probability that: i. ii. The random variable X~ N(25,100). Find: P(X<29) P(23< X<27) No accidents occur in a particular week More than 2 accidents occur in a given week i. 11. 1. 11. Candles are packaged in bags each containing ten candles. A candle is regarded as overweight if it weighs more than 10 grams. The probability that any one candle produced will be underweight is 0.30. A package of candle is selected at random. Calculate the probability, using a binomial distribution that: no candle is overweight exactly THREE (3) candles are overweightHere is the question: An experiment has developed an "excitability score" for rats as a composite of a number of behavior indices. The experimenter is looking for evidence of association between the excitability score and the strain the rat belongs to. Some 25 rats are selected at random from each of the four pure strains, giving a total of 100 individuals in all. Within each strain used in the experiment, a grouped frequency distribution of "excitability scores" is found, the same class intervals being used for each distribution. Test the hypothesis that all four strains have the same distribution, on the basis of the data (image).I'm having trouble understanding how to solve this problem, especially since there is no Expected table (or observed table). I tried calculating one but got incorrect values. What should I do? I wasn't sure if i was supposed to make chi square tests between strain 1 and strain 2, then strain 2 and strain 3, etc. I'd appreciate any advice, thanks!
- QUESTION 7 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the degrees of freedom within samples? Please do the calculations on the handout provided.Question 30 A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly selected realtor. 1. Describe the distribution of X: (dfn= 14 2. Use the random variable notation to express symbolically each of the following: P(X<7.9) The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. X-F X<7.1 An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 13.1 is equal to 0.99. ii. more than 7.9: 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is: i. less than 7.1: iii. between 0.4 and 8: iv. more than 72.4: v. less than 98.3: 4. Find the 11-th…Need help with this intro to probability and statistics homework problem.
- Question 9 Suppose that X is normally distributed with a mean of 40 and a standard deviation of 15. What is P(X> 52.45)? a) O 0.203 b) O 0.597 c) O 0.206 d) O 0.297 e) O 0.207 f). O None of the abovea and b working together can do a given job in 4 days, b and c together can do the job in 3 days, and a and c together can do it in 2.4 days. in how many days can they finish the job all together? Answer is 7 days. Please show your solution.Question 2. A simple random sample of size n = 49 is obtained from a population with mean 80 and standard deviation 14. a. Describe the sampling distribution of x. b. What is P (x >83) c. What is P(x ≤ 75.8) d. What is P (78.3 < x < 85.1)
