hi i need help please with these

(100 points) The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was produced: X 0 1 2 3 P00 0.336 0.322 0.208 0.076 4 0.058 Find the following probabilities: A. An echinacea user has more than one infection per year :] B. An echinacea user has no infections per year C. An echinacea user has between one and three (inclusive) infections per year :] (100 points) Suppose that a single die with 23 sides (numbered 1, 2, 3, , 23) is rolled once. What is the probability of getting an even number? Answer = | (100 points) Suppose that a single die with 8 sides (numbered 1, 2, 3, , 8) is rolled twice. What is the probability that the sum of the two rolls equals 7 ? Answer = (100 points) What is the probability that if 13 letters are typed, no letters are repeated? The probability that no letters are repeated is I: . Suppose you select a letter at random from the word MISSISSIPPI. The probability of selecting the letter M is The probability of selecting the letter S is The probability of selecting the letters l or P is The probability of not selecting the letter P is Suppose that random variable X is uniformly distributed between 7 and 24. Draw a graph of the density function, and then use it to help find the following probabilities: A. P(X > 24) = B. P(X