Randy's average grade is 89 with a standard deviation of 3. His grades follow a normal distribution.
6a. What is the probability that Randy will earn between an 83 and a 95 in a math class?

0.9545

Step-by-step explanation:

To calculate the probability, we need to get the standard score or z-score of each of the scores.

Mathematically;

z-score = (x-mean)/SD

mean = 89 and SD(standard deviation) = 3

for 83, the z-score = (83-89)/3 = -6/3 = -2

for 95, the z-score = (95-89)/3 = 6/3 = 2

The probability we are to calculate has the following range;

P(-2<z<2)

we use the standard score table to estimate this;

= P(z<2) - P(z<-2)

P(z<2) = 0.97725

P(z<-2) = 0.02275

Plugging these values into the equation, we have ;

P(-2<z<2) = 0.97725 - 0.02275 = 0.9545

what does muffins have to do with anything?

step-by-step explanation:

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.