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What is the probability that X is greater than 70?
We have to find the probability that x is higher than 70 or P(x > 70). For x = 100 , z = (70 – 60) / 10 = 1. P(x > 70) = P(z >, 1) = [total area] – [area to the left of z = 1] = 1 – 0.8413 = 0.1587.
What is the probability that X is greater than 1?
Similarly, the probability that X is greater than 1 is equal to 1 – P(X = 1) = 1 – 0.1 = 0.9, by the complement rule.
How do you solve pX 80?
P(x > 80) = P(z > 1) = [total area] – [area to the left of z = 1] = 1 – 0.8413 = 0.1587. The probability that a racing car selected at a random has a speed greater than 80 km/hr is equal to 0.1587.
Is the probability of being greater than X the same?
Therefore the probability of being greater than x and the probability of being greater than or equal to x are the same (similarly the probability of being less than x and the probability of being less than or equal to x are the same) Both of these are equivalent (however they may occasionally provide different answers due to the numerical solver).
How to calculate the probability of one random variable being greater than another?
As you have pointed out in your question, to compute this probability, you need to find the distribution of D = X − Y.
How to calculate the probability of a distribution?
Enter the mean and standard deviation for the distribution. Enter the chosen values of x 1 and, if required, x 2 then press Calculate to calculate the probability that a value chosen at random from the distribution is greater than or less than x 1 or x 2, or lies between x 1 and x 2.
How to find the probability of a function on R?
To find the probability on R, R always gives the probability to the left of the value. The total area under the curve is 1, so if you want the area to the right, then you find the area to the left and subtract from 1. The command looks like: