Given that the moment generating function of a random variable X is e"12, using the Maclaurin series, obtain the moments for this random variable. Demonstrate your work clearly. Study the pattern and report the general form, if possible.
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- A drunk walker takes a step left, right, up, or down with probability 1/4. Assuming that one step is 3 feet and he takes a step every second, what is the probability that he will stay within the square ± 100 feet centered on the place he started after one hour? Use CLT to assess the probabilityA binomial experiment with probability of success p=0.45 and n=6 trials is conducted. What is the probability that the experiment results in exactly 1 success? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.) ↑ # tab caps lock esc → fn Check Type here to search 1 wer. gdesign. ? Q A #2 @ 2 Z hp W S 15 N" # * 3 X alt E X $ D O JOI 4 () 3 R C % 5 F T V 6 G 99+ " 4- & hp Y 7 H 33 to 4+ Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use Pre 235 8 J B N 1 9 fio K M 111 O O - P [ > Sub L altThe following table gives the total endothermic reactions involving sodium bicarbonate Final Temperature Conditions Number of Reactions 266 K 271 K 60 274 K 92 Assume that reactions are independent. What is the probability that the 2nd reaction to result in a final temperature less than 272K occurs within three or fewer reactions? Report answer 3 decimal places.
- Only type answer There is a room with N bulbs turned on along the exponential distribution, which has a life independent of each other and an average of 1/μ time. a) Find the probability distribution of the time it took for the bulb to turn off the first time. b) Find the probability distribution of the time it took for all the bulbs to turn off.Could you solve the question pleaseAssume that a procedure yields a binomial distribution with a trial repeated n=14 times.Use the binomial probability formula to find the probability of k=12 successes given the probability p=43/60 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=12)=
- Assume that a procedure yields a binomial distribution with a trial repeated n=14 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=7 successes given the probability p=3/4 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=k)=Exponential distribution can be used to represent a series of k stations that must be passed through in order to complete servicing and an additional customer cannot enter the first station until the customer in process has negotiated all the stations. Select one: True FalseAssume that a procedure yields a binomial distribution with a trial repeated n=6 times. Use either the binomial probability formula (or technology) to find the probability of k=4 successes given the probability of p=0.35 of success on a single trial.(Report answers accurate to 4 decimal places.)P(X=k)=
- Assume that a procedure yields a binomial distribution with a trial repeated n=13n=13 times. Use either the binomial probability formula (or technology) to find the probability of k=11k=11 successes given the probability p=0.39p=0.39 of success on a single trial.(Report answer accurate to 3 decimal places.)P(X=11)=Assume that a procedure yields a binomial distribution with a trial repeated n=12n=12 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=11k=11 successes given the probability p=0.39p=0.39 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=k)=records over the past year show that 1 out of 395 loans made by mammon bank have defaulted. find the probability that 5 or more out of 280 loans will default. hint: is it appropriate to use the poisson approximation to the binomial distribution? (round λ to 1 decimal place. use 4 decimal places for your answer.) I do not wish for the answer to this one but if i could get an example with differnt numbers with the answer. Thank you.
