Given parameters:
Principal = £1300
Interest rate = 5%
Duration = 2yrs
Unknown:
Total amount of Dan's principal = ?
To solve this problem, we apply the equation below:
Total investment worth = Principal + interest
Interest =
where P is the principal
R is the rate
T is the time
Now, input the parameters;
Total investment worth = £1300 + £
= £1300 + £130
= £1430
The amount after two years is £1430
Answer: a) 0.0792 b) 0.264
Step-by-step explanation:
Let Event D = Families own a dog .
Event C = families own a cat .
Given : Probability that families own a dog : P(D)=0.36
Probability that families own a dog also own a cat : P(C|D)=0.22
Probability that families own a cat : P(C)= 0.30
a) Formula to find conditional probability :
(1)
Similarly ,
Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792
b) Again, using (2)
Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264