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:
rational
Step-by-step explanation:
the equation above would be -10 making it an integer
integers are rational
Step-by-step explanation:
T = time in seconds
H = distance
Tground = time to return to ground
Tmax = time at maximum height
H = -16T^2 + 672T...eqn 1
projectile returns to ground at H =0,
subs for H in eqn 1...
0 = -16T^2 + 672T
solving for T we get...
16T^2 = 672T
=> Tground = 42secs
Tmax = 0.5 Tground = 21secs
Measures of variation: <span> ways to describe measures of central tendency for a data.
<em>
</em><em>the most common measure of variation is range, so in this case, the smallest number is 1, and the largest is 17. This means the range is 16.
</em>
Interquartile Range:
<em>Lower q: {1, 2, 4}
</em><em>Upper q: {8, 12, 17}
</em>Here you have to subtract 12 from 2, which gives you 10.
Mean absolute deviation:
Alright, let's first find the mean...
(1+2+4+5+8+12+17)
---------------------------= 7
7
What is the distance of each number from 7?
1: 6 units
2: 5 units
4: 3 units
5: 2 units
8: 1 unit
12: 5 units
17: 10 units
After adding all of these together, and dividing by 7, you will get...
<em>4.571428 </em></span>≈ <em>4.6 or 5.
</em><span>
I hope these answers help you! Please give me brainliest!</span>
