fifty students are trying to raise at least 12,500 for a class trip. they have already raised 1,250. how much should each studen
1 answer:
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Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Answer:
$6370
Explanation:
The simple interest formula gives us the final amount A given the principal amount P:
where r is the interest rate and t is the time interval.
Now in our case we have
P = 2800
r = 4.25/100
t = 30 years
therefore, the above formula gives
which simplifies to give
Hence, the account balance after 30 years will be $6370.