Question

1.Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.] P(A | B) = .4, P(B) = .1, P(A | B') = .6. Find P(B | A).

2.Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.]

P(X | Y) = 0.6, P(Y' ) = 0.7, P(X | Y' ) = 0.1. Find P(Y | X).

3.Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. HINT [See Example 3.]

*Y*_{1},
*Y*_{2}, *Y*_{3}
form a partition of * S*.

Find * P*(

4.In fall 2014, 38% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 18% with a Math SAT of less than 700 were admitted. Further, 34% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.)

5.In a certain year, 28.3% of all light vehicles were light trucks, 28.3% were SUVs, and 43.4% were cars. The probability that a severe side-impact crash would prove deadly to a driver depended on the type of vehicle he or she was driving at the time, as shown in the table. What is the probability that the victim of a deadly side-impact accident was driving an SUV? (Round your answer to four decimal places.)

Light Truck | .210 |
---|---|

SUV | .371 |

Car |
1.000 |

6.In a survey in a certain year of married couples with earnings, 91% of all husbands were employed. Of all employed husbands, 72% of their wives were also employed. Noting that either the husband or wife in a couple with earnings had to be employed, find the probability that the husband of an employed woman was also employed. (Round your answer to four decimal places.)

7.According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men who were very active (burning about 3,500 calories daily) were a third as likely to develop diabetes compared with men who were sedentary. Assume that one-fourth of all middle-aged men are very active, and the rest are classified as sedentary. What is the probability that a middle-aged man with diabetes is very active? (Round your answer to four decimal places.)

Answer #1

Use Bayes' theorem or a tree diagram to calculate the indicated
probability. Round your answer to four decimal places.
Y1, Y2,
Y3 form a partition of S.
P(X | Y1) = .8,
P(X | Y2) = .4,
P(X | Y3) = .7,
P(Y1) = .4,
P(Y2) = .1. Find
P(Y1 | X).
P(Y1 | X) =
According to a study in a medical journal, 202 of a sample of
5,990 middle-aged men had developed diabetes. It also found that
men...

1. Use Bayes' theorem or a tree diagram to calculate the
indicated probability. Round your answer to four decimal places.
HINT [See Example 3.]
P(A | B) =
.2, P(B) = .4,
P(A | B') =
.6. Find P(B |
A).
P(B | A) =
2. Use Bayes' theorem or a tree diagram to calculate the
indicated probability. Round your answer to four decimal places.
HINT [See Example 3.]
P(X | Y) = 0.4, P(Y' ) = 0.3, P(X |...

Use Bayes' theorem or a tree diagram to calculate the indicated
probability. Round your answer to four decimal places. HINT [See
Example 3.]
P(A | B) = .2, P(B) = .1, P(A | B') = .6. Find P(B | A).
P(B | A) =

According to a study in a medical journal, 202 of a sample of
5,990 middle-aged men had developed diabetes. It also found that
men who were very active (burning about 3,500 calories daily) were
a third as likely to develop diabetes compared with men who were
sedentary. Assume that one-fifth of all middle-aged men are very
active, and the rest are classified as sedentary. What is the
probability that a middle-aged man with diabetes is very active?
(Round your answer...

According to a study in a medical journal, 202 of a sample of
5,990 middle-aged men had developed diabetes. It also found that
men who were very active (burning about 3,500 calories daily) were
half as likely to develop diabetes compared with men who were
sedentary. Assume that one-third of all middle-aged men are very
active, and the rest are classified as sedentary. What is the
probability that a middle-aged man with diabetes is very active?
(Round your answer to...

According to a study in a medical journal, 202 of a sample of
5,990 middle-aged men had developed diabetes. It also found that
men who were very active (burning about 3,500 calories daily) were
a fifth as likely to develop diabetes compared with men who were
sedentary. Assume that one-third of all middle-aged men are very
active, and the rest are classified as sedentary. What is the
probability that a middle-aged man with diabetes is very active?
(Round your answer...

According to a study in a medical journal, 202 of a sample of
5,990 middle-aged men had developed diabetes. It also found that
men who were very active (burning about 3,500 calories daily) were
a third as likely to develop diabetes compared with men who were
sedentary. Assume that one in 17 middle-aged men is very active,
and the rest are classified as sedentary. What is the probability
that a middle-aged man with diabetes is very active? (Round your
answer...

Calculate each Poisson probability:
(a) P(X = 9), λ = 0.80
(Round your answer to 7 decimal places.)
Probability =
(b) P(X = 8), λ = 9.20
(Round your answer to 4 decimal
places.)
Probability =
(c) P(X = 10), λ = 8.60
(Round your answer to 4 decimal
places.)
Probability =

Let x have an exponential distribution with
λ = 1.
Find the probability. (Round your answer to four decimal
places.)
P(2 < x < 9)

Calculate each binomial probability: (a) X = 1, n = 7, π = 0.50
(Round your answer to 4 decimal places.) P(X = 1) (b) X = 3, n = 6,
π = 0.20 (Round your answer to 4 decimal places.) P(X = 3) (c) X =
4, n = 16, π = 0.70 (Round your answer to 4 decimal places.) P(X =
4)

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