OThe continuous random variable Z follows a standard normal distribution. Using table, find: i PZ>1.11) P (Z<2.46) P (1.0 2.46) 11. 11. V.
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- Assume Z is a random variable with a standard normal distribution and c is a positive number. If P(Z>c)=0.1 then P(−c<Z<c)=0.8. True or FalseFind a z-score satisfying the given condition. For any normal distribution, what is the value of P(xsp) and P(x2u)? P(xsp) =D and P(x2 u) =D (Type integers or decimals.)Let the r.v. Z have the standard normal distribution. Find (i) P(Z≤-2.15) (ii) P (Z≥ 1.96) (iii) P (-1.96≤ ? ≤ −0.84) (iv) P (-1.30≤ ? ≤ 2.18) (v) P (0≤ ? ≤ 1.20)
- 3. If Z is a random variable having the standard normal distribution, find i. P(Z - 1.08) iii. P(-1.90-2 2. 1), find c given P(Z > c) = 0.046, please show you For a standard normal distribution (u 0 and o answer to 2 decimal places.Suppose the random variable X is normally distributed with mean 74 and standard deviation 7. Let Z be distributed according to the standard normal distribution. Then P(65.18 < X < 86.11) is the same as P( < Z < Round to 2 decimal places. Add Workshow work, thumbs up for correct answerThe random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.60)= _______________Shade the corresponding area under the standard normal curve.Prob & Stat 1Q2: Let X and Y have a bivariate normal distribution with parameters 4, = 2 = 1, of = 16, af = 25 and p = 3. The value of P(-3Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Round all answers to two decimal places.) (c) P(z < z*) = 0.0487 z* =Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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