THANKYOUUUUU

LEARNING TASK 1: Determine the mean or expected value of each Random Variable. Write your answer in your answer sheets. 1 . 3 0.1 0.5 12 20 P(s) 0.2 0.2 5 10 20 2. 50% 12% 38% 3 W 1/12 1/6 1/3 1/2 P(w) 1/2 1/10 1/5 1/5 4. Find the mean of the probability distribution of the random variable X, which can take only the values 1, 2, and 3, given that P (1) = 10/33, P (2) = 1/3, and P (3) = 12/33. 5. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005 respectively. Find the mean of the probability distribution. 6. The number of mobile phones sold per day at a retail store varies as shown in the given probability distribution below. Find the expected number of mobile phones that will be sold in one day. x 30 33 38 40 50 P(x) =0.2, 0.2, 0.35 0.23,0.02. X 30 33 38 40 50 P(X) 0.2 0.2 0.35 0.23 0.02 LEARNING TASK 2: Observe yourself in a day. Find out how many hours you spend in the following activities: house chores, answering Self Learning Modules, planting/gardening, using social media like Facebook, messenger, tiktok, Instagram, and YouTube, listening to music, watching television, and sleeping. Record your data. Construct a probability distribution, then compute the mean of the probability distribution that you made.LEARNING TASK 3: Observe yourself in a day. Find out how many hours you spend in the following activities: house chores, answering Self Learning Modules, planting/gardening, using social media like Facebook, messenger, tiktok, Instagram, and YouTube, listening to music, watching television, and sleeping. Record your data. Construct a probability distribution, then compute the mean (), variance (02), and standard deviation (o) of the probability distribution that you made