### Standard Normal Distribution TableThe standard normal distribution table consists of two pages, each featuring a portion of the z-table. This table is used to find the probability that a standard normal random variable is less than or equal to z, a specified value.#### Graph/Diagram Explanation:Each page contains the following:- **Bell Curve Diagram**: At the top of each page is a standard normal distribution curve. The curve is symmetrically shaped, peaking at the center and tapering off at both ends.- **Shaded Area (left side of z)**: Represents the probability or the cumulative area under the curve to the left of a particular z-score.#### Page 1: Z-values from -3.4 to -0.6- The table displays the cumulative probability, denoted as the area, corresponding to z-scores between -3.4 and -0.6.- Each row starts with a whole number and a first decimal (e.g., -3.4, -3.3), and subsequent columns add a second decimal place.- Users can determine the cumulative probability for a desired z-value by first locating the z-score row and then following along to the column that matches their specific z-value.#### Page 2: Z-values from 0.0 to 2.9- Similar in format to the first page, showing cumulative probabilities for z-values between 0.0 and 2.9.- Positive z-scores typically reflect values above the mean in a data set.- The table is crucial for determining probabilities and percentiles in a dataset following a standard normal distribution.### Usage:1. **Identify the Desired Z-Score**: Determine the z-value for which you wish to find the cumulative probability.2. **Locate the Row and Column**: Match the z-value to its row, then extend to the column to derive the cumulative probability.3. **Interpret the Probability**: This value indicates the likelihood that a random variable from the standard normal distribution is less than or equal to the given z-score.This table is an essential tool for statistics and data analysis, frequently used in hypothesis testing and other inferential statistical methods. A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c).- [Click here to view the standard normal distribution table (page 1).]- [Click here to view the standard normal distribution table (page 2).](a) What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he uses an estimate of 48% obtained from a poll?The sample size is **2206**. (Round up to the nearest integer.)(b) What sample size should be obtained if he wants to be within 2 percentage points with 94% confidence if he does not use any prior estimates?The sample size is **__**. (Round up to the nearest integer.)

Given,margin of error(E)=0.02α=1-0.94=0.06α2=0.03Z0.03=1.8808 (from Z-table)given,p^=0.481-p^=1-0.48=0.52sample size(n)=Zα2E2 ×p^1-p^sample size(n)=1.88080.022×0.48×0.52sample size(n)=2207.3sample size(n)≅2208Assume,p^=0.51-p^=1-0.5=0.5sample size(n)=Zα2E2 ×p^1-p^sample size(n)=1.88080.022×0.5×0.5sample size(n)=2210.9sample size(n)≅2211