Assume that the proportion of voters who prefer Candidate A is = 0.182. Organization D conducts a poll of n = 5 voters. Let X represent the number of voters polled who prefer Candidate A. Complete the table below, which is a cumulative probability distribution. (Report answers accurate to 4 decimal places) k PX sk) 2. 3. 4. 1. in
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- Let X denote that number of years I will use my current computer, and Y the number of years that I will use my tablet. The joint distribution of X and Y is as shown below: What is the probability that I will use the tablet for exactly one year? a b Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. с 0.082 e 0.160 0.210 d 0.344 Y 0.400 1 2 3 X 1 2 3 0.05 0.16 0.19 0.10 0.13 0.12 0.07 0.10 0.08Which is a negatively skewed distribution?Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 21% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. |(Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. Yes, because both generators fail about % of the time they are needed, which is low enough to not impact the health of patients. (Round…
- Let X be a random variable of the number of Boys in a family. List the sample space for A children. b. Construct a probability distribution for his experiment. Find V(-8x). a. A=7 С.Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D B D Order Accurate 319 270 231 129 Order Not Accurate 31 53 40 16 If one order is selected, find the probability of getting an order from restaurant B or C or an order that is not accurate. The probability of getting an order from restaurant B or C or an order that is not accurate is (Round to three decimal places as needed.)The police have estimated that there are twelve major accidents per day on a particular 10-mile stretch of a national highway. Suppose the incidence of accidents is evenly distributed on this 10-mile stretch of the highway. a. Find the probability that there will be fewer than eight major accidents in this 10-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. Find the probability that there will be more than two accidents in a 1-mile stretch of this highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability
- QI 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 43Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D C 247 Order Accurate 134 Order Not Accurate 34 14 If one order is selected, find the probability of getting food that is not from Restaurant A. A 330 40 B 280 59 The probability of getting food that is not from Restaurant A is (Round to three decimal places as needed.)Refer to this figure to answer number 8- 10. The table below show the probability distribution of number of face mask sold per day. 1 2 3 5 6. 7 8. 10 0.07 P(x) P/x) 0.16 0.07 0.1 0.09 0.1 0.07 0.08 0.1 0.17 0.56 1.4 1.96 5.76 11.56 0.16 0.40 0.16 0.14 0.3 0.36 0.5 0.42 0.56 0.9 1.7 X-U -4.6 -3.6 -2.6 -1.6 -0.6 0.4 2.4 3.4 4.4 (x-)A2 (x-u)A2 *P(x) 21.16 12.96 6.76 2.56 0.36 0.16 19.36 3.39 0.91 0.68 0.23 0.04 0.01 1.16 3.29 8. What is ExP(x) =? A. 5.6 B. 6.5 C.7 D. 8 9. What is a? = E[(x - 4) P(x)] A. 5.9 %3D В. 8.6 С. 10.25 D. 11.35 10. If the standard deviation of the variance of problem number 9 is 3.20156, then how do we get the value of standard deviation given the value of variance? A. Vo? B. Va C. uP(x) D. o ololo-
- College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable x are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. μ= students (Round to one decimal place as needed.) OB.…Norman is a student at a college in Durban. The amount of time, in minutes, that Norman walks to the college for his final examinations is constantly distributed between 15 to 40 minutes, inclusive. Use this information to answer the following questions.1. Name the continuous probability distribution described above. Explain in detail why it is called the distribution of little information. 2. Calculate the probability that the student will take between 28 and 38 minutes. Provide interpretation for your answer. 3. Find the probability that the student will take no more than 30 minutes to arrive at the college. Provide interpretation for your answer.4. Compute the probability that Norman will take least 35 minutes to get to the college. Provide interpretation for your answer.5. Calculate the mean, variance and the standard deviation of the distribution describedToss five fair coins and let x equal the number of heads observed. a. Identify the sample points associated with this experiment, and assign a value of x to each sample point. Then list all the possible values of x. b. Calculate p(x) for the values x = 1 and x = 2. c. Construct a probability histogram for p(x). d. What is P(x = 1 or x = 4)?