On the TI Nspire CX CAS, the Taylor series is available as Calculus Series function taylor.The following is an application of it to approximate the cumulative standard normal distribution. Using order of 12 in the Taylor function below.
Hi guys my first post here I've recently bought a Nspire CX CAS due to me having some difficulty in some areas during pre-cal.
Well now I'm having a problem doing pre cal with my calculator.
Thanks for all and any help. If someone can reply ASAP it would be greatly appreciated as i need to know before Wednesday(I have a quiz)
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By Andrea Griffith
Calculating probability requires finding the different number of outcomes for an event---if you flip a coin 100 times, you have a 50 percent probability of flipping tails. Normal distribution is the probability of distribution among different variables and is often referred to as Gaussian distribution. Normal distribution is represented by a bell-shaped curve, where the peak of the curve is symmetrical around the mean of the equation. Calculating probability and normal distribution requires knowing a few specific equations.
Probability
Write down the equation for probability: p = n / N. The 'n' stands for favorable elements, and the 'N' stands for set elements. For this example, let's say that you have 20 apples in a bag. Out of the 20 apples, five of are green apples and the remaining 15 are red apples. If you reach into the bag, what's the probability that you will pick up a green one?
Divide 5 into 20:
Keep in mind that the outcome can never be equal to or greater than 1.
Multiply 0.25 by 100 to get your percentage:
The odds of you grabbing a green apple out of a bag of 15 red apples are 25 percent.
Normal Distribution
Write down the equation for normal distribution: Z = (X - m) / Standard Deviation.
Z = Z table (see Resources) X = Normal Random Variable m = Mean, or average
Let's say you want to find the normal distribution of the equation when X is 111, the mean is 105 and the standard deviation is 6.
Z = (111 - 105) / 6
Z = 6 / 6
Z = 1
Look up the value of 1 from the Z table (see Resources):
Z = 1 = 0.3413 Because the value of X (111) is larger than the mean (105) in the beginning of the equation, you're going to add 0.5 to Z (0.3413). If the value of X was less than the mean, you'd subtract 0.5 from Z.
Therefore, 0.8413 is your answer.
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