solve the following

1. A hospital would like to get some information about the ages of people with Covid 19 in the local area. The ages of people who tested positive are listed below. For calculation purposes, consider this to be a sample. 28 39 23 67 37 28 56 4O 28 50 51 45 44 65 61 27 24 61 34 44 64 25 24 27 29 Calculate: a. Mean b. Median c. Mode d. Standard deviation (Show all workings). 2. A survey of 2276 social media users was recently conducted. The question was whether or not you have ever been offended by something you saw or read on social media. The table showing the results is shown below. Gender Yes No Total Female 619 549 1168 Male 532 576 1108 Total 1151 1125 2276 If a student is chosen at random, find the probability of that a user was male, given that they were offended. 3. Spotify tracks the number of songs streamed per day from a sample of 45 people. The data is summarized below. Class Freq 0 to under 2 2 2to under4 4 4 to under 6 5 6 to under 8 8 8 to under 10 14 10 to under 12 12 Calculate the mean ofthe grouped data. 4. In a census of households, 88% have Prime, 35% have Disney Plus and 24% have both streaming services. If a household is randomly selected, what is the probability that it has either Prime or Disney Plus? 5. A student, who has difficulty getting up for class, purchases three old alarm clocks. The store keeper says the probability of clock 1 working is 75%, the probability ofclock 2 working is 92% and the probability of clock 3 working is 60%. On a given morning find: a) The probability that all three clocks work. b) The probability that neither clock works. c) The probability that least one clock works