What is the probability of the random variable X lying between –1.5 and +2.5, i.e., P(–1.5 < X < 2.5)?0.10.44.00.6

Uniform DistributionWhat is the probability of the random variable X lying between -1.5 and +2.5, i.e. P(-1.5<X<2.5)?

Suppose that the random variable X is continuous and takes its values uniformly over the interval from 0 to 2. What is the value of the probability P{X ≤ 0.4 or X > 1.2}?

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)?0.85310.14680.93320.0668What is the probability that a normal random variable will take a value that is between 1.5 standard deviations below the mean and 2.5 standard deviations above the mean? In other words, what is P(−1.5 < Z < 2.5)?0.99380.06680.92700.0730What is the probability that a normal random variable will take a value that is more than 2.55 standard deviations above its mean? In other words, what is P(Z > 2.55)?0.99450.99460.00550.0054

Let’s say the random variable X is normally distributed with a mean (µ) = 35 and standard deviation (σ) = 5. Can you find P(25 < X < 45), i.e., the probability of the variable falling between 25 and 45? Note 1: Report the answer as a number rounded off to two digits after the decimal point.Note 2: You’re not expected to know the right answer at this. This question is given just to get you thinking in the right direction

Let’s say the random variable X is normally distributed with µ = 35 and σ = 5. Find P(25 < X < 50), i.e., the probability of the variable taking a value between 25 and 50. (Report the answer as a number rounded off to two digits after the decimal point.)Note: You’re not expected to know the right answer at this point. This question is given just to get you thinking in the right direction.