Customers enter the mall according to a Poisson process with parameter A = 0.2 per minute. What is the probability that the time between two successive arrivals is less than 6 %3D minutes? O 0.500 O 0.600 none of these O 0.700 O 0.300
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- The 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.If A, u are the rates of arrival and departure in an M/M/1 queue respectively, give the formula for the probability that there are n customers in the queue at any time in the steady-state.The graph of the discrete probability to the right represents the number of live births by a mother 42 to 46 years old who had a live birth in 2015. Complete parts (a) through (d) below. (...) A 0.30- 0.25- 0.20- 0.15- 0.10- 0.05- 0.00- 0.232 1 0.270 2 0.472 0.114 0.098 0.021 0.039 0.054 ? 3 4 5 Number of Live Births 6 8 (a) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) (d) If a 42- to 46-year-old mother who had a live birth in 2015 is randomly selected, how many live births…
- Show work for every step. Two types of customers (Preferred and Regular) call a service center. Preferred customers call with rate 3 per hour, and Regular customers call with rate 5 per hour. The interarrival times of the calls for each customer type are exponentially distributed. If the call center opens at 8:00 AM, what is the probability that the first call (regardless of customers type who calls) is received before 8:15 AM?Is P(S = s) = fs(s) = 1+11+1 ; s = 0,1,2,... 0; е. w. a discrete probability function? Why or why not?Telephone calls arrive at an exchange according to the Poisson process at a rate A= 2/min. Calculate the probability that exactly two calls will be received during each of the first 5 minutes of the hour.
- Find the probability P(Ec) if P(E)=0.17.Jay has $500 in the bank when he decides to try a savings experiment.On each day i ∈ [1..30], Jay flips a fair coin. If it comes up heads, hedeposits i dollars into the bank; if it comes up tails, he withdraws $10.How many dollars should he expect to have in the bank after 30 days?Please begin by describing the probability space.The graph of the discrete probability to the right represents the number of live births by a mother 42 to 46 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0.30 0-279 0.25 0.238 0,20- U.168 0.15 15 0.097 0.10 0.05 004 0036 0.043 0.00- 1 2 3 8 Number of Liive Births (a) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? 0.112 (Type an integer or a decimal.) (b) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? 0.206 (Type an integer or a decimal.) (c) What is the probability that a randomly selected 42- to 46-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? 0.101 (Type an integer or a decimal.) hp esc & 8