Response:
a. 0.76
b. 0.23
c. 0.5
d. p(B/A) signifies the likelihood that a student with a visa card also possesses a MasterCard.
p(A/B) indicates the probability that a student with a MasterCard also has a visa card.
e. 0.35
f. 0.31
Detailed explanation:
a. p(AUBUC) = P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) + P(AnBnC)
= 0.6 + 0.4 + 0.2 - 0.3 - 0.11 - 0.1 + 0.07 = 0.76
b. P(AnBnC') = P(AnB) - P(AnBnC)
= 0.3 - 0.07 = 0.23
c. P(B/A) = P(AnB)/P(A)
= 0.3/0.6 = 0.5
e. P((AnB)/C) = P((AnB)nC)/P(C)
= P(AnBnC)/P(C)
= 0.07/0.2 = 0.35
f. P((AUB)/C) = P((AUB)nC)/P(C)
= (P(AnC) U P(BnC))/P(C)
= (0.11 + 0.1)/0.2
= 0.21/0.2 = 0.31
Response: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Detailed explanation:
In Problem 8-4, the computer time-sharing system experiences teleport inquiries at an average rate of 0.1 per millisecond. We are tasked with determining the probabilities of the inquiries over a specific period of 50 milliseconds:
Given that
Applying the Poisson process, we find that
(a) at most 12
probability= 
(b) exactly 13
probability=
(c) more than 12
probability=
(d) exactly 20
probability=
(e) within the range of 10 to 15, inclusive
probability=
Thus, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Answer:
1.0 gram (rounded from.98)
Step-by-step explanation:
This is an exponential equation represented as 
, where a denotes the initial quantity and b represents the rate of decay (or growth). The initial amount a is straightforward, being 430, but for b, ensure it's expressed in decimal form. To convert the percentage (like 27.4%) to decimal, simply move the decimal point two places to the left, yielding.274.
Next, with the equation 
, we can apply the value of x as 19.
Also, be aware that if different units are involved, like if t represented a decay over 19 hours, those would need to be converted as well. I'm here to help if you require further clarification.
Response: The points do not align in a linear fashion
Detailed explanation:
Response:
In every coordinate plane, the baseline function f(x) = |x| is illustrated by a dashed line while a translation is denoted by a solid line. Which graph depicts the translation g(x) = |x + 2| as a solid line?
In a coordinate plane, the dashed line of the absolute value graph shows a vertex at (0, 0). Meanwhile, a solid line absolute value graph has a vertex at (2, 0).
In a coordinate plane, the dashed line of the absolute value graph has its vertex positioned at (0, 0) while the solid line graph shows a vertex at (0, negative 2).
In a coordinate plane, the dashed line for absolute value has a vertex at (0, 0) while a solid line has a vertex at (negative 2, 0).
In a coordinate plane, the dashed absolute value graph has its vertex at (0, 0) while the solid line version shows a vertex at (0, 2).
Detailed clarification:
I have the same query, please assist.
