1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anyanavicka [17]
3 years ago
12

According to a recent report, 60% of U.S. college graduates cannot find a full time job in their chosen profession. Assume 57% o

f the college graduates who cannot find a job are female and that 18% of the college graduates who can find a job are female. Given a male college graduate, find the probability he can find a full time job in his chosen profession? (See exercise 58 on page 220 of your textbook for a similar problem.)
Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

There is a 55.97% that a male can find a full time job in his chosen profession.

Step-by-step explanation:

We have these following probabilities:

A 60% probability that a college graduates cannot find a full time job in their chosen profession.

A 40% probability that a college graduates can find a full time job in their chosen profession.

57% of the college graduates who cannot find a job are female

43% of the college graduates who cannot find a job are male

18% of the college graduates who can find a job are female

82% of the college who can find a job are male.

Given a male college graduate, find the probability he can find a full time job in his chosen profession?

The total males are 43% of 60%(Those who cannot find a job) and 82% of 40%(Those who can find a job). So the percentage of males is P(M) = 0.43*0.60 + 0.82*0.40 = 0.586

Those who are males and find a job in their chosen profession are 82% of 40%. So P(M \cap J) = 0.82*0.40 = 0.328

P = \frac{P(M \cap J)}{P(M)} = \frac{0.328}{0.586} = 0.5597

There is a 55.97% that a male can find a full time job in his chosen profession.

You might be interested in
A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,
Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

  • n = 38 --- the number of slots
  • red = 18. --- the number of red slot
  • black = 18. --- the number of black slot
  • green = 2. --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

p = \frac{18}{38}

Simplify

p= \frac{9}{19}

The probability that the ball does not land on a red slot is calculated as:

q = \frac{18+2}{38}

q = \frac{20}{38}

Simplify

q = \frac{10}{19}

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

P(R = r) = ^nC_rp^rq^{n-r}

Where:

n = 7

r = 3

So, we have:

P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}

P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4

P(R = 3) = 0.2854

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

8 0
2 years ago
Read 2 more answers
What is the next term in this arithmetic sequence?<br> 11, 8, 5, 2,...<br> 0-3<br> 06<br> 05
satela [25.4K]

Answer: the next term is -1

7 0
3 years ago
It costs $50 to join a bowling club plus a monthly fee, the total costs for the year is $350
kvasek [131]
$25 a month :)  (its too short so i hope you have a lovely day)
5 0
3 years ago
Fill in the space <br> -1•6=(_)•(-1)<br> Commutative or associative
iren [92.7K]

Answer:

6

Step-by-step explanation:

I am pretty sure this is your correct answer because you just switch the order

6 0
2 years ago
Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's accoun
kozerog [31]
$30.75 x 12 = 369
$550-$369 =$181
7 0
3 years ago
Other questions:
  • Of the 8 planets is our solar system, 4 are considered rocky. If a student randomly selects 1 of those 8 planets as topic for a
    7·1 answer
  • (8x to the second power plus 17x)+6xto the second power
    13·1 answer
  • Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply. The terms 4x3 and 8x have a common fac
    16·2 answers
  • Every polynomial function of degree 3 with real coefficients has exactly three real zeros. choose the correct answer below. fals
    9·2 answers
  • Which of the following is a polynomial with roots: − square root of 3, square root of 3, and −2?
    14·1 answer
  • Equivalent to (81 m6) 1/2
    6·1 answer
  • PlZ Answer I Will Give You Brainliest!!!
    11·1 answer
  • Samuel tiene 11 cajas con mosaico cuadrado de 20 cm por lado y quiere cubrir una pared que mide 3 cm y de largo 2 cm de alto.Si
    10·1 answer
  • Help please i’ll give u brainlist!!!
    8·1 answer
  • Find the area of the shaded region<br> below.<br> Give your answer in terms of T.<br> 12m<br> 5m
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!