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 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 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 overweight(iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…
- Question 9 According to a study, the salaries of registered nurses are normally distributed with a mean of 55770 dollars and a standard deviation of 6955 dollars. Let X be the salary of a randomly selected registered nurse. 1. Describe the probability distribution of X and state its parameters and o: (μ: X Select an answer Select an answer B IZ XLIN Z 2. Find the probability that the salary of a randomly selected registered nurse is a. less than 71106 dollars. b. between 35101 and 48927 dollars. c. more than 71605 dollars. σ= (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 55-th percentile for the salaries of registered nurses. decimal place) dollars (Round the answer to 1Search and Rescue of DND provides various statistics on boating accidents in he Maritimes and B.C. These statistics include information on the wind speed at the time of the accident. The following chart includes information recorded for 184 accidents on both coasts for the same time period: Wind Conditions Accidents West Coast Accidents East Coast Nil 13 6 Light 74 42 Moderate 30 15 Strong or higher 3 1 a) Suppose xe indicates the wind conditions in the East Coast where xe=0 indicates Nil, xe=1 indicates Light, xe = 2 indicates moderate and xe = 3 indicates Strong or Storm. Also suppose that xw indicates the wind conditions on the West Coast and xt indicates…#10).
- 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 aboveQUESTION 11 The service time for customers coming through a checkout counter has mean 51.4 seconds and standard deviation 6.8 seconds. Find the probability that the average service time for 64 passengers to get service will fall between 49.9 and 52.9 seconds. 0.9216 0.1741 0.0392 0.9608
- A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value!.) Compute the predictive value positive and predictive value negative.Question 4. a. On a random day, a store can sell a mean value of 32 pasta packages and a standard deviation of 4. What is the probability that the total number of pasta packages sold by the store for a random sample of 58 days is less than 1862? Explain. Let b. X₁, X2, X3, and X4 represent the weight of shipment packages at a certain shipment facility. Suppose they are independent normal random variables with means M₁ = 0.8, M₂ = 2.6, μ3 = 8.4, µ4 = 2.3 pounds and variances . Find o² = 0² = 0} = 0} = 1 P(3X₁ + 1X2 + 1X3 + 2X4 ≤ 16.8)
