ASAP PLEASE!! My exam is in 4 hours from now. I am stuck. Please help me to understand this. Please explain it with writtern formula. I kindly request you.

1. Suppose that 40% of all email coming into NKU accounts is spam. Also, assume incoming email messages are independent in terms of classification as spam or not. Consider the next 25 emails coming into NKU accounts. A. Give a formula/equation to represent the probability that less than half of these emails are spam. B. How many of these emails would you expect to be spam? C. Find the probability to at least five digits after the decimal point that the actual number of spam emails is exactly what you expected to observe from part B. 2. Daddy duty for young children often involves filling water balloons (for hours!). Suppose that 1 in 17 water balloons has a pinhole in it (ie: it is defective). The quality (defective or not) of water balloons is independent among balloons. A. Find the probability that the first water balloon with a pinhole is the sixth one I attempt to fill. B. Find the probability that I do not find a defective water balloon among the next 15 I fill. 3. An experiment consists of rolling a fair 6-sided die two times. Define X as the larger of the two results. If the same number is obtained for both rolls of the die, then X is simply that value. A. Determine the probability function for this random variable, X. Hint: What is the sample space of two die rolls? B. Find the expected value of X.