Name: Score: Year and Section: Teacher: EXERCISES 1. Find the mean, variance and standard deviation of a discrete random variable y that follows a binomial distribution with the given parameters. Show the solutions. Estimate your answers into two decimal places. 1) n = 45 and p = 0.8 Mean: Variance: Standard Deviation: 2.) n = 12 and p = 0.43 Mean: Variance: Standard Deviation: 3.) n = 50 and p = 0.74 q = Mean: Variance: Standard Deviation: 4.) n = 75 and p = 0.55 q = Mean: Variance: Standard Deviation: 5.1 n = 60 and p = 0.36 Mean: Variance: Standard Deviation: Il. Use the binomial formula to compute the probabilities with the given values. 1) n = 8 P = = P (X = 4) 2.) n = 12 p = P (X = 5) 3,1 0 = 6 p = 0. 4 P (2) 4.)n = 10 p = 0. 95 P (X = 3) 5.)n = 15 p = 0.45 P (X = 5) 19Name: Score: Year and Section: Teacher: EXERCISES 1. Find the mean, variance and standard deviation of a discrete random variable X that follow Hypergeometric distribution with the given parameters. Show the solutions. Estimate your answers into decimal places. 1.) N = 15 n = 8 k = 5 Mean: Variance: Standard Deviation: 2.) N = 10 n = 6 k = 8 Mean: Variance: Standard Deviation: 3.) N =9 n =4 k = 3 Mean: Variance: Standard Deviation: I1. Use the hypergeometric formula to compute the probabilities of the given following values. 1.) If N = 12 k = 6 n = 4 find P ( 3) 2.) If N = 10 K = 7 n = 5 find P ( 2) 3.) If N = 8 k = 4 n = 6 find P ( 4) 22