Question

3. Random variable X has Normal distribution with the mean value 12.5 and the variance 0.16. Compute the probability that variable X takes on value from interval (12:13) 4. Two independent random variables X and Y are given with their distribution laws: 1 TX 12 P 0.3 0.7 Yo 0.6 5 0.3 8 0.1 Find 1) the skewness of random variable Y; 2) the distribution law of random variable Z=2YX. 5. Of the people passing through an airport metal detector, 5% activate it; let X is a number among a randomly selected group of 4 who activate the detector. Find the distribution law of X (fill in the table!)