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- I need help with solving these partsQ4-Find the distribution function associated with f(x) = 1, for 0 < x < 1 or 2 < x < 4, and zero elsewhere.The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 19 minutes. What is the probability that washing dishes tonight will take me between 14 and 17 minutes? Give your answer accurate to 4 decimal places. Show your work. Show what you used to get your answer. You do not need to show all steps.
- For a certain year, the average annual salary in Pennsylvania was $25,000. Assume that the salaries were normally distributed for a certain group of wage earners and that the standard deviation of this group was $4400. Use the formulas Z= (x-μ) / σ Z= (x̄ - μ) ÷ (μ / √n) a) Find the probability that, a randomly selected individual earned less than $26,000. b) Find the probability that, for a randomly selected sample of 25 individuals, the mean salary was less than $26000. c) Why is the probability for part b higher than the probability for part a?The heights (x) of students are normally distributed with mean 154 cm and standard deviation 34 cm, Find the probability that P(X<136) Round to 4 decimalsSuppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The probability that a newborn fawn will be weigh more than 2.36 is P(x > 2.36) = P(x > 2.6 | x < 2.9) = Find the 8th percentile.
- Using the info obtained above, continue with the following questions:You decided to participate in a charity 5-card poker tournament. Use the hypergeometric probability distribution formula to determine the probability a hand (of five cards) from a single deck of 52 cards contains three hearts, one club, and one diamond. HINT: for complex calculations, you are allowed to use Excel function =COMBINO (PLEASE SHOW WORK; round the answer to 4 decimal places;Please do not give solution in image format thanku
- I need help with thisCentral Limit Theorem: The average number of pounds of meat that a person consumes per year is 218.4 pounds. Assume that the standard deviation is 25 pounds and the distribution is approximately normal (Round your answers to 4 decimal places): (a) Find the probability that a person selected at random consumes less than 219 pounds per year. (b) If a sample of 40 individuals is selected, find the probability that the mean of the sample will be less than 219 pounds per year. (b)Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.8 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.1 seconds after the person arrives is P(x = 1.1) = The probability that the wave will crash onto the beach between 1.7 and 2.7 seconds after the person arrives is P(1.7 < x < 2.7) = The probability that it will take longer than 3.36 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.36) = Suppose that the person has already been standing at the shoreline for 1.4 seconds without a wave crashing in. Find the probability that it will take between 2.8 and 3.5 seconds for the wave to crash onto the shoreline. A person has to wait at least 61% of the time, at most how long before a…
