2) What is the probability that they get more than 3 but less than 10 correct? O 0-0.1 O 0.1-0.2 O 0.2-0.3 O 0.3-0.4 O 0.4-0.5 O 0.5-0.6 O 0.6-0.7 O 0.7-0.8 O 0.8-0.9 O 0.9-1.0 Submit Answer Incorrect. Tries 1/2 Previous TriesAssuming that the claim is correct, find the probability that, out of 1500 cases, the vaccine will be effective in at least 1175 cases. (Use the normal approximation, without continuity correction). O 0-0.1 O 0.1-0.2 O 0.2-0.3 O 0.3-0.4 O 0.4-0.5 O 0.5-0.6 O 0.6-0.7 O 0.7-0.8 O 0.8-0.9 O 0.9-1.0 Submit Answer Tries 0/2Question4: A game consists of tossing two coins, first a dime and then a nickel. For each coin which comes up a head you win the value of the coin. For each coin which comes up a tail you get nothing. 1) List the possible outcomes, in terms of heads and tails, and give the probability and your winnings for each outcome. O {H,T} - each outsome has probability .5 - winnings are 5 and 0 {HH,HT,TH,TT} - each outcome with probability .25 - winnings are 10,5,5,0 {HH,HT,TH,TT} - each outcome with probability .25 - winnings are 15,5,10,0 O {HH,HT,TH, TT} - each outcome with probability .25 - winnings are 15,10,5,0 Submit Answer | Tries 0/2 2) Find the mean or expected winnings. O 2.5 0 5 0 7.5 O 10 Submit Answer Tries 0/2 3) Find the standard deviation. O 6.12 O 31.25 O 5.59 O 37.5 Submit Answer Tries 0/24) If you had to pay a dime to play the game, what would be the mean of your winnings? O -7.5 Submil Answer Tries 0/2 5) If you had to pay a dime to play the game, what would be the standard deviation of your winnings? O 5.59 O 6.12 O 31.25 0 37.5 Submil Answer Tries 0,!2 Question5: Only 40% of drivers properly clean their car windows after a snowstorm. 1) If you randomly observe 3 cars after a storm, what is the probability that exactly 2 have had their windows properly cleaned? O 0.288 O 0.432 0 0.648 0 0.936 Submit Answer Tries 0/2 2) If you randomly observe 20 cars, what is the probability that fewer than 12 but more than 6 have had their windows properly cleaned? (You should use MINITAB to do this question) O 0-0.1 O 0.1-0.2 O 0.2-0.3 0 0.3-0.4 O 0.4-0.5 O 0.5-0.6 O 0.6-0.7 O 0.7-0.8 O 0.8-0.9 O 0.9-1.0 Submit Answer Tries 0/2 3) If you randomly observe 200 cars, and let X denote the number with properly cleaned windows, what is the mean of X? 120 O 100 O 150 O 80 Submit Answer Tries 0/24) If you randomly observe 250 cars, and let X denote the number with properly cleaned windows, what is the variance of X? O 6.93 O 7.75 O 48 O 60 O 80 O 100 O 120 O 150 Submit Answer Tries 0/2 5) If you randomly observe 250 cars, what is the probability that 90 or fewer have their windows properly cleaned? O 0-0.2 O 0.2-0.3 O 0.3-0.4 O 0.4-0.5 O 0.5-0.6 O 0.6-0.7 O 0.7-0.8 O 0.8-0.9 O 0.9-1.0 Submit Answer Tries 0/2Question6: It is known that 30% of vehicles on Nova Scotia roads have at least one tire underinflated. Suppose a sample of 200 vehicles is examined. 1) What is the mean number of vehicles out of 200 which have at least one underinflated tire? 30 60 O 100 O 140 Submit Answer Tries 0/2 2) What is the variance of the number of vehicles out of 200 which have at least one underinflated tire? O 6.48 O 7.07 O 50 O 42 Submit Answer Tries 0/2 3) What is the probability that the proportion of vehicles with at least one underinflated tire is less than .25? O 0-0.1 O 0.1-0.2 O 0.2-0.3 O 0.3-0.4 O 0.4-0.5 O 0.5-0.6 O 0.6-0.7 O 0.7-0.8 O 0.8-0.9 O 0.9-1.0 Submit Answer Tries 0/24) Suppose now that only 10 vehicles are examined. What is the probability that at least 1 but no more than 6 vehicles have at least one tire underinflated? Use the following output. Cumulative Distribution Function Binomial with n = 10 and p = 0.30 X P(X