Find the probabilities that a random variable having the standard normal distribution will take on a value : answer questions 5-7 Q.5 less than -0,88: a) 0.8106 Q.6 between 1.30 and 1.75: a) 0.0386 b)...

please solve question 12

Extracted text: Find the probabilities that a random variable having the standard normal distribution will take on a value : answer questions 5-7 Q.5 less than -0,88: a) 0.8106 Q.6 between 1.30 and 1.75: a) 0.0386 b) 0.1657 c) 0.5231 d) Your answer b) 0.0567 Q.7 between -0.25 and 0.45: e) 0.3301 d) Your answer a) 0.0749 b) 0.3387 e) 0.550 d) Your answer 2.3 IfA and B are events in S. the probability of occurrence of event A is 0.6 and for no occurrence of B is 0.4, and the probability for A and B is equal to 0.1. the probability for any of A or B only :- a) 08 b) 1.0 c) 0.9 d) Your answer **** Given the following observations : answer questions from 9-10: 408 401 410 415 390 400 395 450 406 Q.9 the sample variance is : a) 360 Q.10 the standard deviation is: b) 414 e) 550 d) Your answer a) 14.7 Q.II the density for X, the lead concentration in gasoline in grams per liter is given by : F(x) = 12.5X - 1.25 b) 5.44 c) 2.34 d) Your answer 0.1sx s0.5 the mean or expected value of x is equal to : a) U.17 ***** In a certain country, the proportion of highway sections requiring repairs in any given year is a random variable Having the beta distribution with a = 3 and B= 2. then answer questions (12-13) Q.12 the mean is equal to : a) 0.785 Q.13 the variance is equal to : b) 0.356 c) 0.60 d) Your answ er a) 0.2 b) 0.56 c) 0.04 d) Your answer Q.14 for the log- normal distribution if a -2.B=0.1, the probability between values of 6.1 and 8.2 equal to : a) 0. 785 b) 0.5771 c) 0.3612 d) Your answer