1 0.5 points The following table contains the probability distribution for X = the number of re-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. X P(x) O 0.45 1 0.30 2 0.20 0.05 Find the probability that there are at least two re-transmissions. O 0.05 0.25 0.55 O 0.306 0.5 points The following table contains the probability distribution for X = the number of re-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. X P(X) 0.40 0.30 2 0.25 0.05 Find the probability that there are two re-transmissions. 0.30 0.40 0.25 0.052 0.5 points There are 15 mobile phones in a package box, 8 of which are iphones. If a person takes 5 phones from the box. What is the mean of the number of iphones in the sample? (Input answer in 4 decimal places) type your answer...5 0.5 points The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) Probability P(v) 3 0.3100 4 0.1200 5 0.1700 6 0.1200 7 0.1300 8 0.1000 9 0.0500 What is the variance of the probability distribution? (Input answer in 4 decimal places) type your answer...3 0.5 points The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) Probability P(v) 0.3100 0.1200 0.1700 0. 1200 0.1300 0.1000 0.0500 What is the probability that on a given day, discipline officers will discover at most 6 violations of the student handbook? (Input answer in 4 decimal places) type your