Suppose ?5% of smartphones sold at a retail outlet require upgrades. A random sample of 25 smartphones is selected. Assuming independence. use the binomial formula or software {recommended} to answer the following questions. 1. What is the probability that. of the 25 smartphones selected: (Report probabilities accurate to at least 4 decimal places.) a} exactly 18 require upgrades? :1 b} exactly 8 do not require upgrades? C] c} all of them require upgrades? d} at least 15 require upgrades? C] e) at most 18 require upgrades? f} more than half require upgrades? S g} at least 15 but no more than 22 require upgrades? C] h) less than 13 or more than 21 require upgrades? C] 2. Calculate the mean and standard deviation of smartphones that require upgrades. Round to 2 decimal places. 3. If you expect to find exactly 116 smartphones that require upgrades, how large a sample should you select? Report the minimum sample size required to the nearest integer. :1