QMEQTIVEE: I To generate binomial probability distributions on the graphing calculator I To discover the relationship between the value of p and the shape of the binomial disoibutionl PROCEDURE: 1. Clear L1 and LE on the STAT Edit screen of your calculator and enter the values I], l, 2, 3, 4 and 5 in L1: 11 2. Use the arrows to more the cursor to the title of L2 and enter hinompd, .15, L1) and press ENTER to Iflispla}r the binomial probability,r distribution for n = 5 and p = 0.15 La=bi nom PC": [5 . . 15 . L 1 ll Lam: . 443?31253334 Use the distribution shown above to answer the following questions. Show all work and convert scientic notation to standard notation where appropriate: a. Find the probability that there are exactly 2 successes forp = 1115: Write the calculator command for this value: I}. Find the probability that there are at least 2 success for p = {1.15: Write the calculator command for this value: c. Find the probability that there are at most 2 successes for p = [115: Write the calculator command for this value: Published by Columbus State Community College, 550 E. Spring St., Columbus, Ohio, 43215. Copyright 221 Columbus State Community College. All rights reserved. 3. Using the following formulas, calculate the mean and standard deviation. Show your work. Mean=p=nvp= Standard Deviation = d" = lp _ p) = 9. How do the values in question #T compare to the values calculated in question #8? Repeat steps 2-9 above to produce binomial probability distributions for p = 0.50 as instructed below: III]. Clear L2 on your STAT Edit screen. Use the arrows to move the cursor to the title of L2 and enter binompd, .5 , L1) and press ENTER to display the binomial probability distribution for n = 5 and p = 115 11. Press the GRAPH ice}r and look at the histogram. \f16. Clear L2 on your STAT Edit screen. Use the arrows to move the cursor to the title of L2 and enter binompdeS, .85 , L1) and press ENTER to display the binomial probability distribution for n = 5 and p = {3.9. 1'.-'. Press the GRAPH key and look at the histogram. 18. What is the shape of the binomial distribution? Left-skewed Symmetric Right-skewed 19. Calculate the mean and standard deviation by using the l-Vars Stat LLLZ command on your calculator: Mean = Standard deviation = ID. Using the following formulas, calculate the mean and standard deviation. Show your work. Mean=p=np= Standard Deviation = a" = np p) =