MATH 221 Statistics for Decision MakingWeek 4 iLabName: _______________________MATH221Statistical Concepts: Probability Binomial Probability DistributionCalculating Binomial Probabilities Open a new Excel worksheet.1. Open spreadsheet2. In cell A1 type success as the label3. Under that in column A, type 0 through 10 (these will be in rows 2 through 12)4. In cell B1, type one fourth5. In cell B2, type =BINOM.DIST(A2,10,0.25,FALSE) [NOTE: if you have Excel 2007, then the formula is BINOMDIST without the period]6. Then copy and paste this formula in cells B3 through B127. In cell C1, type one half8. In cell C2, type =BINOM.DIST(A2,10,0.5,FALSE)9. Copy and paste this formula in cells C3 through C1210. In cell D1 type three fourths11. In cell D2, type =BINOM.DIST(A2,10,0.75,FALSE)12. Copy and paste this formula in cells D3 through D121. Create plots for the three binomial distributions above. You can create the scatter plots in Excel by selecting the data you want plotted, clicking on INSERT, CHARTS, SCATTER, then selecting the first chart shown which is dots with no connecting lines. Do this two more times and for graph 2 set Y equal to one half and X to success, and for graph 3 set Y equal to three fourths and X to success. Paste those three scatter plots in the grey area below. (9 points) You will use the same class survey results that were entered into the worksheet for the Week 2 iLab Assignment for question 2.2. Calculate descriptive statistics for the variable (Coin) where each of the thirty-five students flipped a coin 10 times. Round your answers to three decimal places and type the mean and the standard deviation in the grey area below. (5 points)Mean:Standard deviation:3. List the probability value for each possibility in the binomial experiment , which was calculated with the probability of a success being . (Complete sentence not necessary; round your answers to three decimal places) (8 points)P(x=0)P(x=6)P(x=1)P(x=7)P(x=2)P(x=8)P(x=3)P(x=9)P(x=4)P(x=10)P(x=5)4. Give the probability for the following based on the calculations , with the probability of a success being . (Complete sentence not necessary; round your answers to three decimal places) (8 points)P(x1)P(x<0)P(x>1)P(x4)P(4