Given the normally distributed random variable X with σ = 5 and P(X ≥ 25)=.0526, find µ.
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- Let X follow a uniform distribution with interval (0, 100] and Y be the excess loss random variable with d 25. Find the value-at-risk VAR0.95 (YP).Let x be a random variable that has a distribution with mean μ = 150 and standard deviation σ = 15.3. For samples of size n = 36 the sampling distribution of i s with mean = and standard deviation = .A population of values has a normal distribution with μ=35.7μ=35.7 and σ=31.6σ=31.6. You intend to draw a random sample of size n=16n=16.Find the probability that a single randomly selected value is greater than 19.1.P(X > 19.1) = Find the probability that a sample of size n=16n=16 is randomly selected with a mean greater than 19.1.P(M > 19.1) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
- Assume the random variable X is normally distributed with a mean of μ=50μ=50and a standard deviation of σ=7.σ=7.Compute and find the probability P(X>35).A population of values has a normal distribution with μ=139.8μ=139.8 and σ=54.4σ=54.4. You intend to draw a random sample of size n=87n=87.a.) Find the probability that a single randomly selected value is greater than 121.1.P(X > 121.1) = b.) Find the probability that a sample of size n=87n=87 is randomly selected with a mean greater than 121.1.P(M > 121.1) = (Here M is the mean of the sample)Enter your answers as numbers accurate to 4 decimal places.A population of values has a normal distribution with μ=14.7μ=14.7 and σ=31.3σ=31.3. You intend to draw a random sample of size n=20n=20.Find the probability that a single randomly selected value is between 30.1 and 34.3.P(30.1 < X < 34.3) = Find the probability that a sample of size n=20n=20 is randomly selected with a mean between 30.1 and 34.3.P(30.1 < M < 34.3) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
- A population of values has a normal distribution with μ=13.2μ=13.2 and σ=5σ=5. You intend to draw a random sample of size n=60n=60.Find the probability that a single randomly selected value is between 11.5 and 14.P(11.5 < X < 14) = Find the probability that a sample of size n=60n=60 is randomly selected with a mean between 11.5 and 14.P(11.5 < M < 14) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.X is a normally distributed random variable with unknown µ and an unknown variance, o. X and s are the unbiased, sample mean and sample variance estimates of u and o obtained from a small sample size below 25 (n<25). The 95% C.I. is calculated as: Q9. s2 D. µ ± tn-1. D. µt tn-1 s2 A. X± 1.96 B. μ+ 1.96, C. X±tn-1, n n n О А. А В. В ОС. С O D. DA 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.
