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sveticcg [70]
3 years ago
10

3 for performance, 5 for voice, 5 for participation, and 11 for dance. She randomly picks a trophy for show and tell day at scho

ol. What is the probability it will be for dance?
Mathematics
1 answer:
joja [24]3 years ago
4 0
Add all together and then put dance as numerator, 11/24
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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
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Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is  

\large P(X>t) = e^{-t/10}

a)  

1 hour = 60 minutes, so the probability that you wait longer than one hour is

\large P(X>60)=e^{-6}=0.0025

b)

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

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c)

We want x so that

P(X>x)=0.1

\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes

d)

We want P(X<x)=0.9

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Answer:

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C.The coefficient of the solution must be greater than or equal to one but less than 10.

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Step-by-step explanation:

We are finding the quotient of the expression below in scientific notation

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