Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Step-by-step explanation:
The cumulative distribution function for exponential distribution is :-
, where
is the mean of the distribution.
As per given , we have
Average tread-life of a certain brand of tire : 
Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .
Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>
In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:
p = 6/50 = 0.12 = 12%.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
1/2 pound.
Step-by-step explanation:
Conversions: 48 oz = 3 lb
The ratio in the new pot is 3*2 tbs : 3 pounds , or just 6:3, which simplifies to 2:1. This means for every two tbs of powder, 1 lb of beef is used. This means that for every one tbs, 1/2 lb of beef is used.
Solve for x by cross multiplying and the answer is x=6
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(1,2)
The solution is where the lines intersect so you can see they intersect at (1,2)