The answer is 4/10 or the simplified answer is 2/5
Answer:
SI = $810
Amount = $3,810
Step-by-step explanation:
Given that ,
- P = $ 3,000
- R = 5.4%
- T = 5 yrs .
We can use the formula of SI to find the interest as ,
=> SI = P × R × T / 100
=> SI = $ 3000 × 5.4 × 5 / 100
=> SI = $ 30 × 5.4 × 5
=> SI = $ 810 .
- If you want to know total amount , then ,
=> Amount = SI + P
=> Amount = $ 810 + $ 3,000
=> Amount = $ 3,810
<h3>
<u>Hence </u><u>the</u><u> </u><u>Amount</u><u> </u><u>is </u><u>$</u><u>3</u><u>,</u><u>8</u><u>1</u><u>0</u><u> </u><u>and </u><u>the </u><u>SI </u><u>is </u><u>$</u><u>8</u><u>1</u><u>0</u><u> </u><u>.</u></h3>
Answer:
1. P(X=0)=0.135
2. P(T>1)=0.271
Step-by-step explanation:
1. Let X be the number of accidents in the next year. Find the distribution of X and calculate P(X=0).
The rigth distribution to describe this type of event as number of accidents per unit of time is the Poisson distribution.
In this case k=0 accidents, parameter λ=2 events/year and t=1 year:
2. Let T be the amount of time until the next accident. Find the distribution of T and calculate P(T>1).
In this case, the time between events can be best described by an exponential distribution:
In this case parameter λ=2 events/year and t=1 year: