We have the following probability table for the random variable X. For what value of a, E[X] = 16.5? X P(X=X) Options: a) 15 10 a 20 25 0.4 0.2 0.1 0.3
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- Discrete Probability Distributions WITH COMPLETE SOLUTION Suppose the efficacy of the covid vaccine is about 80%. Assume that each person's response to the covid is independent oof another person's response. Find the probability that at least one exposed person will get the covid if 10 people are exposed.O RANDOM VARIABLES AND DISTRIBUTIONS Shasia Discrete probability distribution: Basic Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable x, whose possible values are -1,3, 4, 5, and 6. Value x of X P(x = x) 1 0.10 圖 3 4 0.14 0.30 Explanation Check 2UZI MCUraw HlLEGUcation. All Rights Reser/ed. Terms of Use I Privacy AccessibilityCONTINUOUS PROBABILITY
- Fruit Fly Lifetimes Suppose that the probability function in the table below reflects the possible lifetimes (in months after emergence) for fruit flies. Let the random variable X measure fruit fly lifetimes (in months). Fruit fly lifetimes (in months) 1 2 3 4 5 6 p(x) | 0.30 ? 0.20 0.1o 0.10 0.05 (a) What proportion of fruit flies die in their second month? Enter the exact answer. P(X = 2) = i eTextbook and Media (b) What is the probability that a fruit fly lives more than four months? Enter the exact answer. P(more than four months) = eTextbook and Media (c) What is the mean lifetime for a fruit fly? Enter the exact answer. i months eTextbook and Media (d) What is the standard deviation of fruit fly lifetimes? Round your answer to two decimal places, O = i months eTextbook and Mediadistribution of murders by type of weapon for murder cases in a particular Weapon country over the past 12 years. Complete parts (a) through (e). Handgun Rifle W (d) What is the probability that a randomly selected murder resulted from a weapon other than a gun? P(weapon other than a gun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O No 00 OA. If 1000 murders were randomly selected, exactly of them would have resulted from a weapon other than a gun. OB. If 1000 murders were randomly selected, we would expect about (e) Are murders with a shotgun unusual? Yes P 2 :: C 1 H Shotgun Unknown firearm Knives Hands, fists, etc. Other I' of them to be have resulted from a weapon other than a gun. Vi tv 1. (1) ост 16 More Probability 0.479 0.026 0.033 0.143 0.135 0.054 0.130 Time RemainingDISCRETE RANDOM VARIABLES
- I need help with this please parts a and bHYPERGEOMETRIC DISTRIBUTION: Suppose your friend has 10 cookies, 3 of which are chocolate chip. Your friend randomly divides the cookies equally between herself and you. What is the probability that you get all the chocolate chip cookies? *O RANDOM VARIABLES AND DISTRIBUTIONS Discrete probability distribution: Basic Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable x, whose possible values are 1,3, 4, 5, and 6. P(X = x) Value x of X 1 0.21 3 0.10 4 0.14 5 Aa 6 Explanation Check 20ZI MCGraw Hill Education. All Rights Resered Terme of Use Privacy II
- Random Variable Let’s have X a random variable of which the distribution of probability is binomial B(5, p). Knowing that V(X) (variance) = 5/4: calculate p Calculate P(X≥ 2)for binomial distribution sample size 45 students and 35% get a grade in the class find out the probability that 20 students get a grade in the class