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cluponka [151]
3 years ago
11

Benjamin made a fruit salad with strawberries, blueberries, and kiwi. use the clues to find the amounts of each ingredient. the

amounts were 3/4 cup,2/8 cup, and
1/2cup
Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0
The answer will be 190
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The lifetime of a leaf blower is exponentially distributed with a mean of 5 years. If you buy a 12 year old leaf blower, what is
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Answer:

1.967 × 10⁻¹¹

Step-by-step explanation:

This is a conditional probability problem

Probability that a 12 year old leaf blower works for 5 more years = Probabilty that a leaf blower works for 17 years, given that it has worked for 12 years = P(17|12)

P(17|12) = P(17 n 12)/P(12)

P(17 n 12) = P(17)

Exponential random variable is given as

f(x) = λ e^(-λ.x)

λ = rate parameter = 5 years per blower

x = variable whose probability is required = 17

f(17) = 17 e^(-5×17)

f(17) = 17 e⁻⁸⁵ = 2.067 × 10⁻³⁶

f(12) = 12 e^(-5×12)

f(12) = 12 e⁻⁶⁰ = 1.051 × 10⁻²⁵

P(17|12) = (2.067 × 10⁻³⁶)/(1.051 × 10⁻²⁵)

P(17|12) = 1.967 × 10⁻¹¹

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