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Soloha48 [4]
2 years ago
14

.

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
6 0

The probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship is 69.75%.

<h3>What is the computation for the above solution?</h3>

Note that this is simple probability.

Hence probability of the 75% football starts selected randomly where the chance is 93% =

75% x 93%

= 69.75%

<h3>What are the odds a randomly selected five-star recruit will not select a university from one of the three best conferences?</h3>

The chance that 25% of the five-star recruit will not select a university form one of the three best conferences is explained as follows:

Because only 75% stand the chance of being selected into the three ivy leagues, this means that 25% stand no chance.

Recall that the total population is 100%.

<h3>Are these are independent or dependent events. Are they Inclusive or exclusive?</h3>

From the statement of problem given, it is clear that the events are mutually exclusive. Recall "Historically, five-star recruits get full football scholarships 93% of the time, <u>regardless </u>of which conference they go to.

Learn more about probability at;
brainly.com/question/24756209
#SPJ1

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Answer:

a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

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P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2  P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

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