During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 4. What is the probability that 2 to 8 particles enter the counter in 2 millisecond? O 0.6986 0.7891 0.5895 0.6290
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- Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4 times as many men as women. A person is chosen at random from the population and is known to have night- blindness. What is the probability that this person chosen is a woman? Do not include a % sign when reporting your answer. Answer in units of percent. Your answer must be within ± 2.0% Your answer must be within ¹2%.What is the probability that a registered voter voted in the election? The probability that a registered voter voted in the election is approximately. (Round to three decimal places as needed.) About 3,034,053 voted in the election About 3,529,477 of the registered voters did not voteLet w = Ax - By where A and B are rx q an rxp matrices of known constants and y and x are random vectors. a) find uw and Ew. b) if (y, x)' is jointly multivariate normal, use the mgf technique to find the distribution of w
- The probability that a box contains a large particle is 0.1. What is the probability that 2nd large particle is found exactly on the 18th box?Illustration 66. 50 out of every 1000 cigarettes are rolled up in gold flake and are mixed with the general cigarettes at random. The company offers to trade a new packet of cigarettes for each gold cigarette, a smoker finds in a packet of Brand X. What is the probability that the buyers of Brand, X will find X = 0, 1, 2, 3 and 4 gold cigarettes in a single packet of 10 ? 6.Illustration 15. rodirupt off If on an everage rain falls on 12 days in every 30 days, find the probability (i) that the first 4 days of a given week will be fine and the remainder wet,
- Vehicles pass through a junction on a busy road at an average rate of 200 per hour. Determine the following: 1. The probability that less than 50 vehicles will pass through the junction in the next 30 minutes. 2. The probability that more than 200 will pass through the junction in the next 30 minutes.Based on a poll, among adults who regret getting tattoos, 12% say that they were too young when they got their tattoos. Assume that nine adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (b) through (c) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. 0.3165 (Round to four decimal places as needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. (Round to four decimal places as needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1. (Round to four decimal places as needed.)A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
- You play 3 lottery games each week. The probability of winning the 1st game is 0.05. The probability of winning the 2nd game is 0.1 And, the probability of winning the 3rd game is 0.2. Assume these are independent events. Find the probability that you will win at least one of the games this week. Give the probability as a decimal. If rounding, give to 4 decimal places. The probability is 4:22 PM 2/16/2021 hp prt sc delete home fa 1+ 144 num & backspace lock 6. %3D % 7. 8 P YU T %23 96A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.