please answer all these questions

.60 08 Question 1: Walmart is having a special sale this weekend. Customers charging purchases of more than $70 to their store credit card will be given a special Walmart Lottery card. The customer will scratch off the card, which will indicate the amount to be taken off the total amount of the purchase. Listed below are the amount of the prize and the percent of the time that amount will be deducted from the total amount of the purchase. Discount Amount Probability $5 $10 .30 $20 $50 .02 a. What is the expected amount of discount that will be given to customers charging more than $70 to their store credit card? [2 marks] b. What is the standard deviation? (2 Marks] Question 02: Past data from a soccer league suggests that 6% of new players sustain a serious injury within the first year of their arrival in a new club. Leeds United recruited 13 new payers this season. a. What is the probability that none of these players will sustain any serious injury this year? [1 Mark] b. What is the probability that exactly two of these players will sustain a serious injury this year? [1 Mark] Question 3: Write short notes on the following - a. Normal Distribution. [2 marks] b. Standard Normal Distribution? [2 marks] C. Binomial Distribution 2 Marks) Question 4: The average US adult spends 38 minutes per day on Facebook. If the time they spend on Facebook follows a normal distribution and the standard deviation is 5.6 minutes, what is the probability that a particular user will spend - a. More than 60 minutes per day on Facebook. [1 Mark] b. Less than 10 minutes per day on Facebook. [1 Mark] C. Between 20 and 30 minutes per day on Facebook. [1 Mark] Question 5: According to research, the typical TikTok user spends 316 hours per year using the app. Hitesh Makhija is a big TikTok fan, and he uses the app whenever he has some free time. Assume the number of hours spent in TikTok follows a normal probability distribution with a standard deviation of 11.5 hours. If Hitesh is in the top 2% in terms of time spent on TikTok, how many hours did he spend in TikTok last year? [S Marks)