Sana po ay matulungan niyo po ako, salamat po! 1. Find the mean of the probability distribution of the random variable X, which can take only the values 2, 4, 5, and 9, given that P(2) 9/20, P(4) = 1/20, P(5) = 1/5, and P(9) = 3/10. 2. Refer to your 1st Activity ( Tossing 4 coins) find the mean, variance, and standard deviation. (nasa pic po)* Use both standard and alternative way in computing the, o, o

Steps Solution 1 . List the sample space S- HHHH HHHT, HHTH, HTHH, THHH HHTT, HTHT ATTA, THAT, THTH, TTHH, ATIT THTT, TTHT, TITH TITTY 2 . Count the number of tails in Outcome Number of tails ( value of I) each outcome and assign this HHHH number to this outcome. HHHT HHTH Steps JOMUTIUNI HTHH Number of tails Number of occurrence Probability construct the probability (value of T ) ( treauency ) PCT ) THHH HHTT distribution of the given IN 4/10 er 1/ 4 HTHT random variable by getting HITH the probability of occurrence THHT of each value of the random 4 / c4 or 1/4 4 1 14 THTH variable . TT HH 5 . Construct the probability HITT histogram . 0-40 THIT 0 85 ITHT TITH 0-85 0-80 8 . construct the frequency Number of tails Number of occurence 0 -45 values of the distribution of the , given random (value of T ) ( Frequency) variable . O 0-05 7 O