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if P(A|B) = .048, P(B) = .73, and P(A) = .48, are the events B and the complement of A
independent - CORRECT ANSWER-yes
if we assumed that each throw of a fair die is independent, what is the probability of rolling a
face value of 6 on our 4th throw, given that we have rolled a 1 on the first throw, a 5 on the
second throw, and a 3 on the third throw? - CORRECT ANSWER-(1/6)
two events A and B are independent with P(A) = P(B) = 0.5. the P( A ⏜ B ) is : - CORRECT
ANSWER-0.25
If P(A|B) = .38, P(B) = 0.76., and P(A) = .42 , are the events of A and B independent - CORRECT
ANSWER-no
A cell phone user selects apps to download. Each of 10 apps is independently selected with
probability .24
A) if each of the first 9 apps are downloaded, what is the probability that the last
, B)what is the probability that the cell phone user downloads at least 3 apps
C)what is the probability that app 1 or 2 is downloaded - CORRECT ANSWER-a) .24
b) .44
(the complementary event for this question is that the cell phone user downloads no apps, or 1
app, or 2 apps. Let X denote the number of apps that are downloaded
since P( X = 0 ⏜ X = 1) = 0, P( X = 0 ⏜ X = 2) = 0 , P( X = 1 ⏜ X = 2) = 0,
p(X>= 3) = 1 - P(X = 0 U X = 1 U X = 2 )
= 1 - [P( X = 0 )+ P(X = 1) + P ( X = 2)]
= 1 - {(10 0 ) * (1-.24)^10) + (10 1) * .24 *(1- .24)^ 9 + (10 2)* .24^2 * (1-.24)^8}
C).42
Let C denote that app 1 is downloaded and D denote that app 2 is downloaded. Because C and
D are independent, P(C ⏜ D) = P(C)P(D)
so P(C) + P(D) - P(C ⏜D)= .42
customers are used to evaluate preliminary product designs. in the past, 94% of highly
successful products received good reviews, 51% of moderately successful products received
good reviews, and 12% of poor products received good reviews. in addition, 40% of products
have been highly successful, 35% moderately successful and 25 % have been poor products
A) what is the probability that a product attains a good review
B) if a new design attains a good review, what is the probability that it will be a highly successful
product?
C) if a product does not attain a good review, what is the probability that it will be a highly
successful product? - CORRECT ANSWER-a).5846
b).6433
c).0578
Aa)
let G denote a good review been received