1. A population random variable X has mean LaTeX: \mu=10μ = 10and standard deviation LaTeX: \sigma=5σ = 5. Samples of size 36 aredrawn with replacement. Find the probability that the sample meanLaTeX: \overline{X}X ¯ will be between 6.5 and 14, inclusive?
2. 52 percent of the voting population of a city favor candidateA for mayor. What is the probability that more than 51 percent willfavor A in a random sample 50 voters from the city?
