Random Variables and Probability Distribution

0.5 points 6 05 points The following are the number of cars sold per day at ABC Motor corporation during the past 495 working days, The following are the number of cars sold per day at ABC Motor corporation during the past 500 working days. Number of cars sold per Frequency of Number of Frequency of day. x outcomes cars sold per day, x outcomes 30 0 35 100 100 142 2 142 71 3 71 36 4 36 5 32 6 26 7 18 16 8 16 9 14 10 11 2 Total 495 Total 500 What is the mean of the probability distribution of the number of cars sold in a given day? (input answer in 4 decimal places) What is the probability that at least eight cars will be sold in a day? (input answer in 4 decimal places) type your answer.. type your answer. 3 0.5 points 0.5 points There are 15 mobile phones in a package box, 9 of which are iphones. If a person takes 5 phones from the box, what is the probability that all three iphones There are 15 mobile phones in a package box. 9 of which are iphones. If a person takes 5 phones from the box. What is the variance of the number of iphones in the sample? will be picked from the box? (input answer in 4 decimal places) Input answer in 4 decimal places) type your answer.. type your answer.. 7 05 points 10 05 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. 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 Piv) Number of Violations (v) Probability P(v) 0.3100 0.3200 0.1200 0.1200 0.1700 0.1700 1200 0.1200 0.1300 0.1300 0.1000 0.1000 0.0500 0.0400 What is the probability that on a given day, discipline officers will discover at most 7 violations of the student handbook. (input answer in 4 decimal places) What is the standard deviation of the probability distribution? (Input answer in 4 decimal places) type your answer- type your answer. 5 0.5 points The following table contains the probability distribution for X = the number of e-transmissions necessary to successfully transmit a 5 GB data package through a double satellite media. P(x) 0.45 0.30 0.20 W N 0.05 Find the probability that there is at least one re-transmission. 0.55 0.30 0.05 0.25