Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures = 
per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_
Now, the probability that the instrument does not fail in an 8-hour shift :-
Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353
Answer:
D
Step-by-step explanation:
Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.
Answer:
(0.4958, 0.7422)
Step-by-step explanation:
Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is 
. The estimated standard deviation is given by 
. Because we have a large sample, the 90% confidence interval for p is given by 
where 
is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is 
, i.e., (0.4958, 0.7422).
Answer:
11.5 sec
Step-by-step explanation:5.5+6=11.5
The expression
has two similar pairs of <span>conjunctions.
</span>
1. Rewrite this expression as
and then
2. add the similar <span>conjunctions
</span><span>
</span><span>
.</span><span>
</span><span />
