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- Q. 1 t is estimated that 809% of emails are spam emails. Some software has been applied to filter these spam emails before they reach our inbox. A certain brand of software claims that it can detect 99% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 5%. Now if an email is detected as spam, then what is the probability that it is in fact a non-spam email? event A: email is spam; event B: email is detected as spam. Assume thatFormula: Expected value = E(x) = x1P1+x2P2+ ... + xnPn Where x = the outcome and P = probability of outcome Dr. Kimball likes to go fishing with his son. To motivate his son, he pays him for the first fish that he catches. There are two types of edible fish that his son can catch: Trout and Salmon. If he catches a Trout he pays him $5, if he catches Salmon $3. There is a 20% chance that he will catch a trout and 50% that he will catch a Salmon. On average, how much does Dr. Kimball pay his son on a trip?The probability of flu symptoms for a person not receiving any treatment is 0.025. In a clinical trial of a common drug used to lower cholesterol, 30 of 1090 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 30 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug? (a) P(X 2 30) - (Round to four decimal places as needed.)
- When it is sunny, Joe's ice cream truck generates a profit of $547 per day, when it is not sunny, the profit is $250 per day, and when the truck is not out there selling ice cream, Joe loses $120 per day. Suppose 8% of a year Joe's truck is on vacation, and 86% of a year the truck is selling ice cream on sunny days, what is the expected daily profit the truck generates over a year? Enter answer as a decimal rounded to TWO digits after the decimal point.Q1Given Probabilities y = 1 y = 2 x = 1 x = 2 0.2 0.3 0.5 Find: а. Pr(X > Y) %3 b. Pr(Y = 1) =