X and Y are two real rumbers candony n distribution on 10.1) and Nisa poutive intrge What the probability that X+Y
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A: Solution: Let X~N(μ= 5, σ2= 4)
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A: Please see below
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- Coin A has a probability of head equal to 1/4 and probability of tail equal to 3/4 and coin B is a fair coin. Each coin is flipped four times. Let the random variable X denote the number of heads resulting from coin A and Y denote the resulting number of heads from coin B. (a) What is the probability that X = Y = 2 ? (b) What is the probability that X = Y ? (c) What is the probability that X > Y? (d) What is the probability that X + Y< 5?The time waiting when a telephone call is placed to an insurance company is uniformly distributed between 0 and 14 minutes. Find the probability that the waiting time is between 2 and 9 minutes.What is the probability that X equal 2?
- A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5 digits long, and that each digit could be a number between 0 and 6. Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on her first try? Round to six decimal places. Probability =Q: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings: Find the probability that a person has the virus given that his test outcome is positive. Find the probability that a person does not have the virus given that his test outcome is negative. Find the probability that a person has the virus given that his test outcome is negative. Subject/Course: Introduction to Data Science Note: Use "Confusion Matrix" technique to solve this question!A die has been “loaded” so that the probability of rollingany even number is 2/9 and the probability of rollingany odd number 1/9 is What is the probability of(a) rolling a 5?(b) rolling a 5, given that an even number is rolled?(c) rolling a 5, given that an odd number is rolled?
- It is known that in a certain town 30% of the people own an Kpfone. A researcher asks people at random whether they own an Kpfone. The random variable X represents the number of people asked up to and including the first person who owns an Kpfone. Determine that P(X <6).A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 3 cars needs to have oil added. If this is true, what is the probability of each of the following: (a) What is the probability that at least two of the next 5 cars need oil? Probability = (b) What is the approximate probability that between 181 and 216 of the next 600 cars need oil (Use the Normal approximation technique)? Probability =
- A coin with p{h} = p = 1 - q is tossed n times. Show that the probability that the number of heads is even equals 0.5[1 + (q - p)"].NoneThe flight from Greenville to Charlotte can take anywhere from 43 minutes to 68 minutes. Suppose the random flying times, X, are uniform from 43 to 68 minutes. What is the probability a flight last longer than 59? or P(X>59) Do not round.