part Four coins are tossed. Let Y be the random variable representing the number of tails

that occur.

1. Find the values of the random variable Y.

2. Create a probability distribution of random variable Y.

part2

1. The number of shoes sold per day at a retail store is shown in the table below. Illustrate the mean and variance of this distribution. 16 X P(X) 19 0.4 20 0.2 21 0.2 22 0.1 23 0.1 a. Write the formula of Mean to be used b. Write the formula of Variance to be used c. Solution: first complete the Table below. Solve for mean, variance, and standard deviation of random variable x X P(X) X.P(x) X' .P(X) 19 0.4 20 0.2 21 0.2 22 0.1 23 0.1 Total2. The number of patients seen in the Emergency Room in any given hour is a random variable represented by X. The probability distribution for X is: X P(X) 10 0.4 11 0.2 12 0.2 13 0.1 14 0.1 Formula to be used: a. Mean b. Variance Solution: 3. The number of cellular phones sold per day at the E-Call retail store with the corresponding probabilities is shown in the table below. Compute the mean, variance, and standard deviation and interpret the result. Number of cellphones sold per Probability day in a retail store (X) P(X) 15 0.30 18 0.20 19 0.20 20 0.15 22 0.15 Solution: Interpretation: The mean is equal to therefore, it means that the average number of cellular phones sold per day is Therefore, the variance of the probability distribution is equal to