SHOW YOUR COMPLETE SOLUTION. MUCH BETTER IF YOU'LL WRITE THE SOLUTION ON A PAPER.Question 11 2 Points An airline company advertises that they have minimal flight cancellations in a week. This is backed by their research department's study that is presented in the probability distribution of M flights cancelled in a week. Number of Probability of M flights Cancelled flights cancelled . . . (M) P(M) 0.3182 2 0.4310 4 0.1245 6 0.1238 8 0.0025 From the company's research, the probability of having cancelled flights not more than four (4) is Blank 1. Express your answer in decimal form, rounded off to four (4) decimal places. Blank 1 Add your answerQuestion 12 2 Points Mr. Dela Cruz can take either two roads to the airport from his home (Road A or Road B). Owing to varying traffic conditions that travel times on two roads are not fixed, rather on a Friday around noon that travel times across these roads can be approximated per normal distribution as follows: Road A: p = 54 minutes and o = 5 minutes. Road B: p = 57 minutes and o = 10 minutes. Which road should he choose if on Friday noon he must be at the airport within 50 minutes to pick up his wife? Blank 1 Blank 1 Add your answerQuestion 13 2 Points A random variable X has the following probability distribution: ... X 2 3 4 5 6 P(X) 0.12 0.09 k 0.08 0.11 0.33 Solve for P(X s 4). Express your answer in two (2) decimal places. P(X s 4) = Blank 1 Blank 1 Add your answer Question 14 2 Points A radar unit is used to measure the speed of cars at NLEX. NLEX records show that the measures of speed are normally distributed with a mean of 95 km/hr and a standard deviation of 14 km/hr. The probability that a car picked at random is travelling between 75 and 135 km/hr is Blank 1. Round of answers in four (4) decimal places (decimal form). Blank 1 Add your answerQuestion 15 Vice Ganda plans to Invest 100.000 pesos for a movie block screening for a cause. He expects to sell tickets worth 150,000 pesos. But if the typhoon hits on the day of the screening, they cannot sell any tickets. If the weather forecast tells that there is a 20% possibility that there will a typhoon on the screening day. how much will he expect to gain/lose in return? Note: Express your answer In the nearest whole number. Also. do not Include the currency symbol for your answers. Blank 1 Blank 1 I Add your