Question

In: Statistics and Probability

The following table describes a set of participants and their choice between a SUV and a...

The following table describes a set of participants and their choice between a SUV and a sports car. Use this data for the following questions. Assume one participant is randomly chosen for each one

SUV sports car totals
male 21 39 60
female 135 45 180
totals 156 84 240

a. What is the probability that the chosen participant is female?

b. What is the probability that the chosen participant prefers a sports car?

c. Whatistheprobabilitythatthechosenparticipantisamaleand prefers a SUV?

d. What is the probability that the chosen participant is either a male or prefers a SUV?

Solutions

Expert Solution

Let , S be the Sample space . Therefore , n(S)=240

a. Let , F be the event that the participant is female

Therefore ,

b. Let , A be the event that the participants prefers a sports car

Therefore ,

c. Let , M be the event that the participant is male and B be the event that the participant prefers a SUV

Therefore ,

d. Let , M be the event that the participant is male and B be the event that the participant prefers a SUV

Therefore ,

By using addition therom,

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Which of the following statements best describes a promoter? (multiple choice) 1.A set of adjacent structural...
Which of the following statements best describes a promoter? (multiple choice) 1.A set of adjacent structural genes and the operator gene that controls them. 2.A portion of a gene, which is transcribed into RNA, but not translated into protein. 3.A sequence of nucleotides coding for a single gene product that is transcribed into mRNA. 4.The section of DNA to which RNAP first attaches itself to when initiating the transcription of a structural gene. 5.A protein that blocks gene action with...
A paper describes a study that investigated the relationship between depression and chocolate consumption. Participants in...
A paper describes a study that investigated the relationship between depression and chocolate consumption. Participants in the study were 931 adults who were not currently taking medication for depression. These participants were screened for depression using a widely used screening test. The participants were then divided into two samples based on the score on the screening test. One sample consisted of people who screened positive for depression, and the other sample consisted of people who did not screen positive for...
Which of the following accurately describes a company’s choice of inventory cost method? Multiple Choice A...
Which of the following accurately describes a company’s choice of inventory cost method? Multiple Choice A company can choose which inventory method it prefers, even if the method does not match the actual physical flow of goods. Once a company chooses a method, it is not allowed to frequently change to another one. All of the other answers are correct. A company need not use the same method for all of its inventory.
Complete the table by pairing each set of quantum numbers withthe orbital it describes. If...
Complete the table by pairing each set of quantum numbers with the orbital it describes. If the set of quantum numbers is not possible, label it as not allowed. Use each orbital description as many times as necessary.OrbitalQuantum numbers?=1,ℓ=1,?ℓ=0n=1,ℓ=1,mℓ=0?=4,ℓ=2,?ℓ=2n=4,ℓ=2,mℓ=2?=2,ℓ=1,?ℓ=−1n=2,ℓ=1,mℓ=−1?=3,ℓ=2,?ℓ=−3n=3,ℓ=2,mℓ=−3?=5,ℓ=3,?ℓ=1n=5,ℓ=3,mℓ=1
1.            Use the following table to calculate the expected value. The following table describes the possible...
1.            Use the following table to calculate the expected value. The following table describes the possible outcomes and their associated probabilities. x P(x) ($20) 0.05 ($5) 0.1 $0 0.15 $10 0.35 $15 0.2 $30 0.15                 The first 2 outcomes are losses (negative values).                 What is the expected value of this probability distribution?                 (1 point) 2.            In a certain school (enrollment in the school is well over 1000 students), 40% are male. If you randomly select 8 students:...
The following table describes the relationship between university faculty roles, coping ability and perceived control. Correlations...
The following table describes the relationship between university faculty roles, coping ability and perceived control. Correlations Perceived Control Coping Ability Stress from Teaching Stress from Research Stress from Student Advising Perceived Control Pearson Correlation 1 .217 .411 -.150 .063 Sig. (2-tailed) .000 .000 .001 .176 N 467 467 467 467 467 Coping Ability Pearson Correlation .217 1 .643 -.254 .381 Sig. (2-tailed) .000 .000 .000 .000 N 467 467 467 467 467 Stress from Teaching Pearson Correlation .411 .643 1...
Suppose the following table summarizes the BMI for a population of 8 participants in a weight...
Suppose the following table summarizes the BMI for a population of 8 participants in a weight loss program. Participant BMI A 32.6 B 31.7 C 26.8 D 29.3 E 25.4 F 33.2 G 29.4 H 26.9 A) Calculate µ and σ. B) BMI over 30 is considered obese. Assume that this population follows a normal distribution. What proportion of women is obese? C) BMI between (25, 29.9) is considered overweight. What proportion of this population is overweight? option 1 A)...
create a website that describes a city of your choice. The website must include the following...
create a website that describes a city of your choice. The website must include the following pages:  Home Page  Arts & Culture  News & Events  Recreation Requirements Write from scratch the HTML and CSS files and show your creativity, aesthetics and imagination. Begin by creating a wireframe diagram that indicates the structure of the web page . Use grammatically correct sentences that provide reasonable flow through each web page. Include the following:  Structural elements (header,...
The following table describes the willingness to pay by customers for the services of a telecommunications...
The following table describes the willingness to pay by customers for the services of a telecommunications company. To keep things simple, you can assume that there is just one customer of each type and the firm cannot tell which customer type an individual person is. You can also assume that even if a person gets no consumer surplus, they will still buy the product. The marginal cost to the firm of supplying each type of service is zero; all costs...
Which of the following best describes the function of standardization of the EKG machine? To set...
Which of the following best describes the function of standardization of the EKG machine? To set machine timing To determine whether the machine is set and working properly To check for artifacts To determine the correct placement of chest electrodes
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT