Question Two a) The table below shows the probability distribution of the discrete random variable X. 5 X P(X=x) 2 3 4 7 2p 2p 3p Find the value of p from the table above. Calculate the probability that at X is at least 5. Calculate the mean of the distribution. i. ii. iii.
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- The discrete probability distribution is given by i. ii. iii. x P(X = x) 0 0 1 k Show that k Find the mean of the probability distribution. Find the variance of the probability distribution. 2 2k 3 3k نیاLet the random variable X denote the age of a female groundhog, and let the random variable Y denote the total number of offspring it has had. The joint probability distribution for X and Y is given by the above table. Find the correlation coefficient ρX,Y18: Answer
- Quiz: Self-Check 3.2 This Question: 1 pt 5 of 8 (4 cor Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 3 4 Probability 0.662 0.212 0.083 0,022 0.013 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. 卫三 (Round to one decimal place as needed.) Find the variance of the probability distribution. (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. | (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. Click to selecCt your answer(S). Video Tuterial How to Find Probablitie T1-84. =earchThe random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. 2 5 6 7 8 D 4 0.045 0.306 P(X=x) 0.025 0.187 0.431 0.006 ... a. Find and interpret the mean of the random variable. μ= 5.947 (Round to three decimal places as needed.) Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The average number of persons in a shuttle crew is 5.947 person(s). OB. The most common number of persons in a shuttle crew is person(s). b. Obtain the standard deviation of the random variable. O (Round to three decimal places as needed.) Check answer Help me solve this View an example Get more help. 30 20 F10 F4 MacBook Air F6 DII FB Clear all DD F9QI For the next data if (k = 6 , L= 6 ), The probability distribution is: * 12 16 17 17 20 21 22 25 25 26 28 30 32 32 34 35 39 41 43
- Subpart A,B,CBill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…Let the random variable X = the number of motor vehicle accidents per student in one year. Find the mean and standard deviation of the probability distribution, and interpret the value of the mean in the context of the real-life situation. X 1 3 4 Probability 0.15 0.29 0.25 0.18 0.10 0.03 Interpretation of µz
- Which one of the following statements is True? The Odds against A equals 1 – Odds in favor of A. For a mound shaped distribution if the skew is positive then the mean is greater than the median. P(n, r) = C(n, r) / r! The probability of an event equals the number of favorable outcomes divided by the number of unfavorable outcomes. A Bimodal distribution is symmetric.There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot. (a) Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula (b) Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula. (c) let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).