Mathematics, 23.01.2020 05:31 sonicshon2

Astudent is applying to two different agencies for scholarships. based on the student’s academic record, the probability that the student will be awarded a scholarship from agency a is 0.55 and the probability that the student will be awarded a scholarship from agency b is 0.40. furthermore, if the student is awarded a scholarship from agency a, the probability that the student will be awarded a scholarship from agency b is 0.60. what is the probability that the student will be awarded at least one of the two scholarships?

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Answer from: erikamaldonado661

Probabilities are used to determine the chances of an event.

The probability that the student will be awarded at least one of the two scholarships is 0.35

The given parameters are:

$\mathbf{P(A) = 0.55}$

$\mathbf{P(B) = 0.40}$

$\mathbf{P(A\ and\ B) = 0.60}$

The probability that the student will be awarded at least one of the two scholarships is P(A or B)

So, we have:

$\mathbf{P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)}$

This gives

$\mathbf{P(A\ or\ B) = 0.55 + 0.40 - 0.60}$

$\mathbf{P(A\ or\ B) = 0.35}$

Hence, probability that the student will be awarded at least one of the two scholarships is 0.35

Read more about probabilities at:

link

Answer from: Thejollyhellhound20

There is a 62% probability that the student will be awarded at least one of the two scholarships.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the student gets a scolarship from Agency A.

B is the probability that the student gets a scolarship from Agency B.

We have that:

$A = a + (A \cap B)$

In which a is the probability that the student will get an scolarship from agency A but not from agency B and $A \cap B$ is the probability that the student will get an scolarship from both agencies.

By the same logic, we have that:

$B = b + (A \cap B)$

What is the probability that the student will be awarded at least one of the two scholarships?

This is

$P = a + b + (A \cap B)$

We have that:

A = 0.55, B = 0.40

If the student is awarded a scholarship from Agency A, the probability that the student will be awarded a scholarship from Agency B is 0.60.

This means that:

$\frac{A \cap B}{A} = 0.6$

$A \cap B = 0.6A = 0.6*0.55 = 0.33$

----------

$A = a + (A \cap B)$

0.55 = a + 0.33

a = 0.22

--------

$B = b + (A \cap B)$

0.40 = b + 0.33

b = 0.07

$P = a + b + (A \cap B) = 0.22 + 0.07 + 0.33 = 0.62$

There is a 62% probability that the student will be awarded at least one of the two scholarships.

Answer from: Quest

answer: 34rtyj,jkhtyetwrhyjeuiejnbhdfknbkguxfrbhkfdbjvkmbd,kvbsd.kxjvbhjnfbgjxdfn

step-by-step explanation:

Which of the following describes the transformations performed on the object shown above? a. the o

Answer from: Quest

Answer:

$4034.40

step-by-step explanation:

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

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