It is known that the length of a certain product X is normally distributed with μ = 20 inches. How is the probability P(X < 20) related to P(X < 16)?Multiple ChoiceNo comparison can be made with the given information.P(X < 20) is the same as P(X < 16).P(X < 20) is smaller than P(X < 16).P(X < 20) is greater than P(X < 16).

A RANDom variable X is normally distributed with mean 20 and standard deviation 4. find: a) P(X>25) B)P(X<25) C)The value of d such that P(20<X<D)=0.4641 D)P(15 "LESS THAN OR EQUAL TO" X "LESS THAN OR EQUAL TO 20"

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.

For a particular species of mice, let X be the length of a randomly chosen male and Y the length of a randomly chosen female. Given that X and Y are independent and normally distributed, with X ~ N(60, 20), Y ~ N(70, 10), what is Pr(X > Y), to 3 decimal places? That is, what is the probability that a randomly chosen male is longer than a randomly chosen female?Group of answer choices0.3270.3090.1590.6730.369

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

3.  Suppose the random variable X𝑋 is normally distributed with μ=50𝜇=50 and σ2=36𝜎2=36 . What is the value of b𝑏 such that P(X≥b)=0.3264P(𝑋≥𝑏)=0.3264 ?Multiple choice 1 Question 3  45.8  59.1  52.7  47.3