Answer:
Given that an article suggests
that a Poisson process can be used to represent the occurrence of
structural loads over time. Suppose the mean time between occurrences of
loads is 0.4 year. a). How many loads can be expected to occur during a 4-year period? b). What is the probability that more than 11 loads occur during a
4-year period? c). How long must a time period be so that the probability of no loads
occurring during that period is at most 0.3?Part A:The number of loads that can be expected to occur during a 4-year period is given by:Part B:The expected value of the number of loads to occur during the 4-year period is 10 loads.This means that the mean is 10.The probability of a poisson distribution is given by where: k = 0, 1, 2, . . ., 11 and λ = 10.The probability that more than 11 loads occur during a
4-year period is given by:1 - [P(k = 0) + P(k = 1) + P(k = 2) + . . . + P(k = 11)]= 1 - [0.000045 + 0.000454 + 0.002270 + 0.007567 + 0.018917 + 0.037833 + 0.063055 + 0.090079 + 0.112599 + 0.125110+ 0.125110 + 0.113736]= 1 - 0.571665 = 0.428335 Therefore, the probability that more than eleven loads occur during a 4-year period is 0.4283Part C:The time period that must be so that the probability of no loads occurring during that period is at most 0.3 is obtained from the equation:Therefore, the time period that must be so that the probability of no loads
occurring during that period is at most 0.3 is given by: 3.3 years
Step-by-step explanation:
Well since it gives you 2 gas stations it wants you to compare prices
Als gas station will be A
At-one will be B
since station A has $3.259/ gallon I assume
and B has $3.199/ gallon
just subtract them
so 3.259 -3.199 = 0.06
gas is less at station B noticeably costs less so thats your first answer
for the next one if you bought gallon of gas at the cheaper station you'd be saving $0.06/gallon since we got the difference from subtracting them.
Answer:
Plan Two
Step-by-step explanation:
If you do all the math, which is not that hard, you can find the answer easily. I think if you tried to do it yourself, you would learn and benefit more.
Answer:
Step-by-step explanation:
Total Magazines = 3
Woman's Day = 1
Probability = No. of Favorable Outcomes / Total no. of Outcomes
Probability = 
Put it in you cal it helps
