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- An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is hth, then N (hth) = 1. Suppose that the random variable X is defined in terms of N as follows: X=2N² -6N-1. The values of Xare given in the table below. Outcome thh tth hhh hth ttt htt hht tht Value of X -5 -5 − 1 -5 −1 -5 -5 -5 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 8 XZV. O *** 0004 : l 36 l ZAIN IQ Asiacell رسالة 1 غير مقروءة Question 1 There are two boxes the first box contains 3 red beads and the second box contains 2 red beads and 3 black beads we select a random bead from the first box and put it on the second box then we take out 2 random beads without replacement. If the random variable x is equal to the number of red beads from the second box A.find the probability function of x B.find p(0An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of heads in each outcome. For example, if the outcome is thh, then N (thh)=2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-6N-4. The values of X are given in the table below. ttt hhh hth hht tht htt thh tth Value of X -4 -4 -8-8-8-8-8-8 Outcome Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X P(X=x) 7 00 X S2. Let X be the mean of a random sample of n = 25 from N(30, 9). Find the probability that the sample mean is between 29.8 and 30.6.An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of heads in each outcome. For example, if the outcome is hhh, then N (hhh) = = 3. Suppose that the random variable X is defined in terms of N as follows: X=6N-2N²-3. The values of X are given in the table below. Outcome hhh hth hht thh htt tth ttt tht Value of X-3 1 1 1 1 1 -3 1 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 0 00 XVSC Type here to search F1 W TE R Boys Not boys Juniors 65 35 Not juniors 220 145 Total 285 180 465 1. What is the probability that a student selected at random is a boy? PB + )= 285/465 2. What is the probability that a boy selected at random is a Junior? P(| J|B)= 65/285 3. What is the probability of randomly choosing a student who is a Junior and a boy? P(JB) WOMENGEN 65/465 4. What is the probability of randomly choosing a student who is a girl given that she is not junior? P(| G|J = 145/365 5. What is the probability of randomly selecting a girl? P(G) = 180/965 31 ( 99+ F5 1. I T Y F2 F3 1² 1 Total % 100 365 My Apps Dashboar... 220 F6 F7 F8 1'. 1'. 65 F9 35 Cip F10 ETE 145 F11 F12 4- BackspaceQ1. The table below shows voters choose at random between African American and African American democrats: Republican Democrats Total African-American 4 12 16 White/others 44 40 84 Total 48 52 100 Using the above table find the probability that the voter is either African American or Democrathand write asapAn ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let N be the random variable counting the number of tails in each outcome. For example, if the outcome is tth, then N (tth)=2. Suppose that the random variable X is defined in terms of N as follows: X=N²-2N-2. The values of X are given in the table below. Outcome ttt htt hhh tht tth hth hht thh Value of X 1 -2 -2 -2 -2 -3 -3 -3 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 0 0 0 00 X Ś1.A family wishes to adopt 4 pets from a total of 13 dogs and 7 cats available at an animal shelter. The variable "x" being measured is the number of dogs. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations using C(Dt). 2. A student forum at a high school needs to elect 5 people from 10 Grade 11 students and 15 Grade 12 students who are available. The variable"" being measured is the number of Grade 12 students. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations involving C(Dt).There are 5 black, 3 white, and 4 yellow balls in a box (THE SAME BOX as seen in the previous question). Four balls are randomly selected without replacement. Let Y be the number of yellow balls selected. Find P[Y =2]. 5 3 в w О а. About 21% O b. About 25% С. About 34%. d. About 9.3% e. About 13%D. Construct the probability distribution for each discrete random variable. 1. Let W be the square of the number when a fair die is rolled. 2. Let X be the number of girls in a family with 3 children. 3. Let Y be the product of two numbers taken separately from two boxes containing numbers 1, 2, 3, and 4. 4. Let B be the number of boys in a committee of 4 taken from 3 boys and 4 girls. 5. Let S be the sum of three numbers taken from 3 jars containing 1, 2, and 3.SEE MORE QUESTIONS
