Answer:
The probability that the instrument does not fail in an 8-hour shift is
The probability of at least 1 failure in a 24-hour day is
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:
Let X be the number of failures of a testing instrument.
We know that the mean failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is
(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is
Answer:
E
Step-by-step explanation:
When you substitute (5,-19) for A you get -19=-21 which is incorrect, when you substitute it for B you get, -19=-13 which is also incorrect, for C you get -19=-14, D you get -19=-22, and finally for E you get the correct answer which is -19=-19. Hope this helps :)
20 km
12.5 miles = (12.5*8)/5 = 20 km
Answer:
Step-by-step explanation:
1) y - 6 = -12(x + 4)
y = -12x - 48 + 6 = -12x - 42
Answer is (C)
2) y + 4 = -5(x - 3)
Only the point (3,-4) would be located on this line
Answer is (C)
Answer:
<h2>1/5</h2>
Step-by-step explanation:
The sample space for pens is
5 red pens, 6 blue pens, 3 black pens,(5+6+3)= 14pens
The sample space for paper is
4 silver paper clips and 16 white (4+16)=20 papers
The probability of selecting a black pen and white paper
Pr(black pen)*Pr(white paper)
=3/14*16/20
=48/280
= 14/70
= 2/10
= 1/5