Answer:
for all values of x
Step-by-step explanation:
we got
y = y so for all values of x the equation is true
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
1 answer:
Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value =
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359
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Answer:
The probability that a student has a college degree or is not married is 0.8308.
Step-by-step explanation:
The information provided is:
Total number of high school seniors (<em>N</em>) = 650.
Number of seniors with a college degree (<em>n</em> (C)) = 400.
Number of seniors who were married, (<em>n</em> (M)) = 310.
Consider the Venn diagram below.
The probability of an event, say E, is the ratio of the favorable outcomes of <em>E</em> to the total number of outcomes of the experiment.
That is,
Here,
n (E) = favorable outcomes of <em>E</em>
N = total number of outcomes of the experiment.
The probability of the union of two events is:
Compute the probability that a student has a college degree or is not married as follows:
From the Venn diagram:
n (C) = 400
n () = N - n (M) = 650 - 310 = 340
n (C ∩ ) = 200
The value of P (C ∪ ) is:
Thus, the probability that a student has a college degree or is not married is 0.8308.