Answer:
The first step is to determine the largest number that evenly divides the numerator and the denominator (also called the Greatest Common Factor of these numbers). In other words, what's the biggest number that goes into '2' (the numerator) and '4', the denominator?
Step 2. Once you've answered step 1 and realized that, for our fraction at least, the greatest number that evenly divides 2 and 4 is '2'. Now divide the top and the bottom by 2 to get your simplified fraction which is ½.
I hope this helps if you have any questions on my answer plz let me know Ty :3
Answer:
The expected value for the number of defects on a randomly selected plastic part is 0.43.
Step-by-step explanation:
We have the following probability distribution:
P(X = 0) = 0.79
P(X = 1) = 0.09
P(X = 2) = 0.05
P(X = 3) = 0.04
P(X = 4) = 0.03
What is the expected value, E(X), for the number of defects on a randomly selected plastic part?
Each value multiplied by its probability. So
The expected value for the number of defects on a randomly selected plastic part is 0.43.
Answer:
a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b) 2.92
Step-by-step explanation:
a)
Here
Number of interviewees = N = 12
Number of job openings = M = 5
Interviews schedules for the first day = n = 7
N − M = 12 - 5 = 7
Using hypergeometric distribution:
Let X be the no. top four candidates interviewed on first day.
The probability mass function of X:
P(X = x) = /
It can be written as:
h(x; n, M, N) = /
= (5Cx) (7C7-x) / (12C7)
= (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b)
The expectation is: E(X) = np
E(X) = n * M/N
= 7 * 5/12
= 7 * 0.41667
= 2.9167
Answer:
V=266.45in³
Step-by-step explanation:
V=Sb×h, where Sb is base area and h the height.
Sb=36.5in²
h=Sb/5=36.5/5=7.3in
V=36.5×7.3=266.45in³
try searching it up because this looks really hard, sorry