Suppose X is a normal random variable with μ = 40 and σ = 20. Find P(X > 20.2). A) 0.1611 B) 0.8159 C) 0.8389 D) 0.1841 E) 0.8413
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Suppose X is a normal random variable with μ = 40 and σ = 20. Find P(X > 20.2).
A) 0.1611
B) 0.8159
C) 0.8389
D) 0.1841
E) 0.8413
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- 620A city law-enforcement official has stated that 20% or the items sold by pawn shops within the city have been stolen. Ralph has just purchased 4 items from one of the city's pawn shops. Assuming that the official is correct, and for x = the number of Ralph's purchases that have been stolen, determine the following: a. P(x = 0) c. P(1 s x s 3) b. P(2 s x) d. P(x s 2) %3DSuppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =Suppose X is a normal random variable with mean u = 17.5 and o = 6. A random sample of size n = 24 is selected from this population. a. Find the distribution of b. Find P(X < 14) and P(X < 14) Find P(15Let X1, . . . , X7 independent random variables with exponential distribution of parameter λ = 2. What distribution has the next sum?Let Z be a standard normal variable. Find the value of z if z satisfies P(Z > z) = 0.6331. a) 00.35 b) O-0.3 с) О-034 d) 00.34 e) 00.30 D O None of the above. Question 29 Suppose X is a normal random variable with u = 35 and o = 10. Find P(21.4 < X < 39.7). a) 005586 b) 00.5337 c) O0.5939 d) O0.2323 e) 0 0.2478 f) O None of the above.We have the following information about the random variables X and Y: 4 8 11 4 5 ox = o Cov(X, Y) 225 15 75 225 Calculate the standard deviation of Z 3Y — Х. ozIf z is a standard normal random variable, then P (1.83 < z < 2.38) is:Suppose X is a normal distribution random varible with u=33 and o=9. Find the value of xo of the random variable x for parts a, b, c, and, d.Let 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…Suppose X is a normal random variable with µ = 30 and o = 5. Find the following: a. P(X 25)Q.2 Find the value of a when Z is a standard normal random variable and P{-3A population of values has a normal distribution with μ=232.6μ=232.6 and σ=12.2σ=12.2. You intend to draw a random sample of size n=84n=84.a.) Find the probability that a single randomly selected value is between 229.5 and 230.1.P(229.5 < X < 230.1) = b.) Find the probability that a sample of size n=84n=84 is randomly selected with a mean between 229.5 and 230.1.P(229.5 < M < 230.1) = Enter your answers as numbers accurate to 4 decimal places.SEE MORE QUESTIONSRecommended 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