3 years ago

Write two and twenty five hundredths as a decimal number

1 answer:

8 0

The answer is 2.25
1) simplify the fraction
25/100 = 1/4
2) then turn 1/4 into a decimal
1/4 = .25
3) then add
2+0.25= 2.25

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Given: Mean : $\lambda=15\text{ per seconds}$

In minutes , Mean : $\lambda=4\text{ per minute}$

The exponential distribution function with parameter $\lambda$ is given by :-

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The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

$P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14$

Hence, the probability of waiting more than 30 seconds = 0.14

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