MATHEMATICS COLLEGE

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?

Answers

Answer 1

Answer:

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = (P(A \cap B))/(P(A))$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

$p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23$

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

$P(A \cap B) = 0.1*0.2 = 0.02$

$P(B|A) = (P(A \cap B))/(P(A)) = (0.02)/(0.23) = 0.087$

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

$P(A \cap B) = 0.3*0.5 = 0.15$

$P(B|A) = (P(A \cap B))/(P(A)) = (0.15)/(0.23) = 0.652$

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

$P(A \cap B) = 0.2*0.3 = 0.06$

Then

$P(B|A) = (P(A \cap B))/(P(A)) = (0.06)/(0.23) = 0.261$

0.261 = 26.1% probability that this person made a two-night visit.

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Answers

Answer:

Step-by-step explanation:

(4 + 9x)^3 represents "the cube of the sum of 4 and 9 times x"

and if we divide by "the product of 5 times x and the difference of x and 1," we get

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-----------------------

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Answers

Answer:

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Step-by-step explanation:

Answer:

135

Step-by-step explanation:

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Help me plssssssssed

Answers

Answer:

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Step-by-step explanation:

●Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?

Answers

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

= 52 feet

Difference in total no. of feet = 68 feet - 52 feet

= 16 feet

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= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

= 8 pigs

What is the correct answer can you guys help me I really need help on this?? Please

Answers

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When “multiplying” a number with an exponent, you add the 2 exponents.

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Answers

Answer:

10 is the median of the given data....

Answer:

10 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

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