Question

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

220

likes
1099 views

Answer to a math question A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

Expert avatar
Murray
4.5
92 Answers
Portuguese women = 27 P\left(PW\right)=\frac{27}{80}

Frequently asked questions (FAQs)
Math question: Convert the number 5,600,000 to scientific notation.
+
What is the solution set for the inequality system: x + y ≤ 5, x - y > 2?
+
What is the derivative of f(x) = 3x^2 + 4x^3 - 5x^4 + 2x^5 - √(x) - 7e^x with respect to x?
+
New questions in Mathematics
A=m/2-t isolate t
-442/c+5=26 what is c?
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
132133333-33
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
Director of reservations believes that 9% of the ticketed passengers are no-shows. If the directors right what is the probability that the proportion of no-shows in a sample of 789 ticketed passengers with differ from the population proportion buy more than 3% round your answer to four decimal places.
Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places
2x-4y=-6; -4y+4y=-8
Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.
7=-4/3y -1
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A drug is used to help prevent blood clots in certain patients. In clinical​ trials, among 4336 patients treated with the​ drug, 194 developed the adverse reaction of nausea. Construct a ​99% confidence interval for the proportion of adverse reactions.
TEST 123123+1236ttttt
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
Solve equations by equalization method X-8=-2y 2x+y=7
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
Solve the following 9x - 9 - 6x = 5 + 8x - 9