In Exercises 11–16, fill in the blanks using the named events. [ HinT: See Example 2 and the FAQ at the end of the section.] 55% of those who go out in the midday sun ( M ) are Englishmen ( E ) , whereas only 5% of those who do not go out in the midday sun are Englishmen. P ( _ _ | _ _ ) = _ _ _ ; P ( _ _ | _ _ ) = _ _ _
In Exercises 11–16, fill in the blanks using the named events. [ HinT: See Example 2 and the FAQ at the end of the section.] 55% of those who go out in the midday sun ( M ) are Englishmen ( E ) , whereas only 5% of those who do not go out in the midday sun are Englishmen. P ( _ _ | _ _ ) = _ _ _ ; P ( _ _ | _ _ ) = _ _ _
Solution Summary: The author explains that 55% of those who go out in the midday sun (M) are Englishmen (E) and 5% are not.
In Exercises 11–16, fill in the blanks using the named events.
[HinT: See Example 2 and the FAQ at the end of the section.]
55% of those who go out in the midday sun
(
M
)
are Englishmen
(
E
)
, whereas only 5% of those who do not go out in the midday sun are Englishmen.
P
(
_
_
|
_
_
)
=
_
_
_
;
P
(
_
_
|
_
_
)
=
_
_
_
We are given that
P(A | B) = 0.2
and
P(A) = 0.9.
Since
P(A | B) ≠ P(A),
the occurrence of event B changes the probability that event A will occur. This implies that A and B are events.So, to determine
P(A and B),
we can apply the general multiplication rule for events. Recall that
P(B) = 0.5.
P(A and B)
=
P(B) · P(A | B)
=
(0.5) ·
1. Roll a die twice. Consider the following events.
E1: Roll three dots first.
E2: Roll one dot second.
E3: The number of dots in each roll is larger or equal to five.
E4: The number of dots in the first roll is less or equal to four.
Let Event A = crime is a homicide and Event B = crime committed between midnight and 12:59 AM. Provide your answers in decimal form to the nearest ten thousandth.
Part A: P(A∣B)=
Decimal form:
Percentage form:
Part B: P(A)=
Decimal form:
Percentage form:
Part D: P(B∣A)=
Decimal form:
Percentage form:
Part E: P(B)=
Decimal form:
Percentage form:
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License