A random variable X is normally distributed with a mean of 9 and a standard deviation of 4.8.  Calculate the point c such that

Consider the random variable X ∼ N (5, 9); that is, a normal random variable with mean µ = 5and standard deviation σ = 3.(a) Evaluate the following:P(X ≤ 2), P(X > 2), P(X ≤ 8), P(X > 8).(b) Find the points x such that:P(X ≤ x) = 0.10, P(X ≤ x) = 0.25, P(X ≤ x) = 0.52, P(X ≤ x) = 0.99.Page 2 Page 2 of 3

Suppose Z follows the standard normal distribution. Use your z table, to determine the value of c so that the following is true.2 points0.10.30.50.7

find Standard deviation of 8.3, 9.7,11,11.8,9.8

Standard Normal DistributionA random variable X is normally distributed with a mean (µ) of 80 and standard deviation (σ) of 10. If the z-score of a point on X is -1.5, then what is the value of that point on X?65957293

A normal random variable X has mean 5.6 and standard deviation 1.2. For which c> 0 does the equality P(-c≤x≤c) 0.9 hold? Round to two decimal places if needed.