The probability density function of the length of a metal rod is f(x) = 3e* for 3.3
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- Consider the following constant function: f(x) = 3/4 If this function represents a probability density function, which of the following can be a set of realized values? A. 2/3 ≤ x ≤ 2 B. 1/4 ≤ x ≤ 1 C. 3 ≤ x ≤ 4 D. 1/2 ≤ x ≤ 3/2How can you do this in excel, please? Consider the following exponential probability density function. f(x) =1/5 e−x/5 for x ≥ 0 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) (c) Find P(x ≥ 5). (Round your answer to four decimal places.) (d) Find P(x ≤ 7). (Round your answer to four decimal places.) (e) Find P(2 ≤ x ≤ 7). (Round your answer to four decimal places.)If X ~ U(3, 15), what is the probability density function for this distribution?
- A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the lifetime of a bulb is f(t)=14e−t/4,t≥0.What is the probability that the bulb will fail within 5 hours?Question 17 If X is a random variable with the probability density function: f (x) = c|x|, for - 1 < x < 1 and 0 otherwise. What is the value of c? Please round your result to one decimal place. Correct Answer:_______________________By the end of 2021, the percentage, ?, of the population (expressed in decimals) that will be vaccinated is given by the density function a. Find ?. b. Find the cdf ?(?) and use it to evaluate the probability that 30% to 60% will be vaccinated at the end of the year. Please answer this step by step and justify your answer.
- Can someone please explain how to do this Consider the following exponential probability density function. f(x) = 1 5 e−x/5 for x ≥ 0 Find P(x ≤ 2). every example i find leaves out the part with the negative exponantYou pay 10 dollars to pick two numbers, with replacement, between 1 and 1000 at random. If the numbers are the same, you win 100 dollars. If not, you win nothing. IfXis the amount of money gain, find the probability density function forX.Answer true or false -- must type T or F. The following function is a probability density function If false, what is the scaling factor to become a probability function?
