Assume that the random variable X is normally distributed, with mean p = 100 and standard deviation o = 15. Compute the probability P(X > 112).

P(X > 112) = 0.21186.

Step-by-step explanation:

We are given that the random variable X is normally distributed, with mean = 100 and standard deviation = 15.

Let X = a random variable

The z-score probability distribution for the normal distribution is given by;

                               Z  =    ~ N(0,1)

where, = population mean = 100

            = standard deviaton = 15

Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)

      P(X > 112) = P( > ) = P(Z > 0.80) = 1- P(Z 0.80)

                                                       = 1 - 0.78814 = 0.21186  

The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.