f W is the Gaussian (82, 7.2) random variable, calculate the following: P(W<50) less than or equal 50 P(W>60) greater than 60 P(W<87) less than or equal 87
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f W is the Gaussian (82, 7.2) random variable, calculate the following:
- P(W<50) less than or equal 50
- P(W>60) greater than 60
- P(W<87) less than or equal 87
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- Suppose T and Z are random variables. a. If P(T> 2.98)= 0.03 and P(T0.53) = P(Z0.53). a. P(-2.98STS2.98) =| Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All MacBook Air F3 000 F4 F7Correct and detailed answer will be Upvoted else downvoted. No plagarism please! Thank you!Q5 Let a discrete random variable Xhas values -1, 1, 2, and 3, with probabilities (1/4, 1/8, 1/8, 1/2) respectively. What is PDF of X? (WVith drawing) By using PDF of X, 2-p (1Clear my choice on 3 Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)=D0.5, P(2)=0.2 and P(3)=D0.3 then P(X>1) is equal to: et answered ed out of 1.00 Select one: g question O a. 0.3 Ob. 0.2 Oc. 0.5 d. 0 Next pagq19- If X and Y are random variables with E(X) =98.5 and E(Y) = 60.4, then E(3X + 4Y) is: a. 537.10 b. 268.55 c. 805.65 d. 1074.20Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Σχ - 64.2; Σ ? = 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77 6.2 8.6 7.0 7.5 8.3 6.9 10.0 9.7 y 9.7 10.3 10.9 11.5 14.2 7.0 14.6 12.2 Find the equation of the least-squares line. (Round your answers to three decimal places.) Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.) r = 2 = If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y = Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit mg/10 ml upper limit mg/10 ml Use level of significance 1% and test the claim that the…4 of these 1 5 of these 3 of (a) 1.0211 (c) 1.5207 (e) 1.2962 these 2 (a) 0.1111 (c) 2.3333 (e) 12.9375 2 of these 16 tickets total 3 FIG. 5. 2 of these 26. Let X be the random variables described in Fig- ure 5. Find E(√x + 1). (b) 2.3125 (d) 0.4613 X Random draw from the box 27. Let X be the random variable described in Figure 5. Find E(X³ | X < 2). (b) 0.5625 (d) 1.3125TF.9 Let Z be a standard normal random variable. Find... a) P(-1.35 ≤ Z ≤ 2.48) b) the value of z so that P(Z ≥ z) = .1230Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON