For Spirit Day, each 8th-grade homeroom designs a unique twocolor T-shirt. They get to choose from the colors red (R), blue (B),
2 answers:
Answer:
P(B and V)=10%
Step-by-step explanation:To solve this poroblema we use the formula of combinations:
C(n,r)=(nr)=n!(r!(n−r)!)
Where n is the number of objects that can be chosen and you choose r from them.
There are 5 colors of shirts.
The number of shirts that can be made by combining 2 of the 5 possible colors is calculated as:
5C2=
5C2=10
The number of shirts that can be made by combining 2 of the 2 possible colors (B) and (V) is calculated as:
2C2=1
Then the probability is:
P( B and V)=
=0.1= 10%
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Answer:
a) P(t>3)=0.30
b) P(t>10|t>9)=0.67
Step-by-step explanation:
We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.
The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.
The probabity that a repair time exceeds k hours can be written as:
(a) the probability that a repair time exceeds 3 hours?
(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?
The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.
In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.