Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is
<span>So, (72)(3/8) = 27, and 72-27 = 45 must go in the second group.</span>
Answer:
16
Step-by-step explanation:
Remember to use pemdas:
8÷2(2+2)
First we do whats in parentheses.
= 8÷2(4)
Then we do multiplication and division from left to right
= 4(4)
= 16
So the answer is 16. Remember that multiplication and division have the same priority in pemdas, and you should always do them left to right, because order does matter.