3 1/8 (a) Find the marginal distribution of X1 1/4
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- Suppose f(x) = 1/20 from 5 to 25. What is the 25th percentile of X? 10 1/20 None of the other choices is correct .25E [X] = 4 and In X follows a normal distribution with a variance of 3. Express the value of E [min (X - 4, 1)] as the cumulative distribution function for the standard normal distribution.Please solve within 20 minutes
- 92t 2.15 A critical part has the following failure distribution: ƒ(t) · 40 OseS 40 yr. 402, 402 » Find: (a) R(1yr) (b) MTTF2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the interval [-3,7]. Suppose also, that each share of the stock costs $1.50. Let Y be the net return (total return minus cost) on an investment of 10 shares of the stocks. Compute E(Y).
- A normal distribution has ? = 28 and ? = 5. (a) Find the z score corresponding to x = 23. (b) Find the z score corresponding to x = 42. (c) Find the raw score corresponding to z = −3. (d) Find the raw score corresponding to z = 1.7.Please answer only the Determine the cumulative distribution function for the distribution, x such that P (X<x) 0.90 and Find the cumulative distribution. thank you!he distribution of the number of imperfections per 10 meters of synthetic fabric is given by the following function, If cost of this defect is given by the following equation g(x)-1/100 (x^2+2x+10), what is the ?expected cost 2 3 4. f(x) 0.41 0.37 0.16 0.05 0.01
- A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 721 = 575 n2 = 740 Number making claims = 115 Number making claims = 111 a. Use α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value p-value We can conclude (to 2 decimals) X (to 4 decimals) that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x) = 0.04 for 58 < x< 83 seconds. Round your answers to 2 decimal places. (a) What proportion of tests require more than 70 seconds to complete? i (b) What proportion of tests require less than one minute to complete? i (c) Determine the mean and variance of the time to complete a test on a sample. Mean = i seconds Variance = i seconds?(a)=1.45 (e) >-214 (d) - 2.14 < < 145 (a) (b)