Every floor of a 20 storey building is 5m in high. If a lift moves 2m every second, how long will it take to move from 3rd floor
1 answer:
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Answer:
E(X)=3.125
Step-by-step explanation:
We are given that two four sided dice.
Then , the sample space
{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}
Total number of outcomes=16
Let the random variable X represent the maximum value of the two dice
Outcomes X P(X)
(1,1) 1 1/16
(1,2),(2,1),(2,2) 2 3/16
(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16
(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16
Using the probability formula
Now,
Given:
To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator
Step 2: Simplify the denominator
Step 3: Using step 1 and step 2
Step 4: Using fraction rule:
Cancel the common factor r and t², we get
Cancel the common factors 16 and 3 on both numerator and denominator.
The simplified fraction is .