Question

In: Statistics and Probability

Two psychologists are studying the IQs of a group of business professionals. Let A be the...

Two psychologists are studying the IQs of a group of business professionals.

  • Let A be the event that a professional's IQ is greater than 115, with P(A)=16%.
  • Let B be the event that a professional's IQ is between 115 and 130, with P(B)=14%.

The IQs of different professionals are independent events. What is the probability that two random professionals will be chosen and one of their IQs is greater than 115 and the other is between 115 and 130?

Give your answer as a decimal, rounded to three decimal places.

Solutions

Expert Solution

P(two random professionals will be chosen and one of their IQs is greater than 115 and the other is between 115 and 130) = 2C1 * P(A) * P(B) = 2 * 0.16 * 0.14 = 0.0448 = 0.045 (ans)

                                                                                                                                                                                                                                                                                                                                                                                         

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Let G be a group acting on a set S, and let H be a group...
Let G be a group acting on a set S, and let H be a group acting on a set T. The product group G × H acts on the disjoint union S ∪ T as follows. For all g ∈ G, h ∈ H, s ∈ S and t ∈ T, (g, h) · s = g · s, (g, h) · t = h · t. (a) Consider the groups G = C4, H = C5, each acting...
18. A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at...
18. A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at the end of a meeting would encourage office workers to have a higher output to their work based on the numbers of sales each workers made. The group tested 10 participants that were in two conditions where one meeting ended in a motivational speech and another were no motivational speech was given. Here are the number of sales that was produced by the 10...
A group of I-O psychologists were interested in whether listening to the radio or an audio...
A group of I-O psychologists were interested in whether listening to the radio or an audio book while working would result in greater productivity of factory workers (defined by pounds of product produced). Therefore, the researchers visited a factory in Pennsylvania that has 10-full-time employees. They first recorded the pounds of product produced by each employee while listening to a local music radio station on Wednesday of week 1. Then on Wednesday of week 2, the researchers recorded the pounds...
A group of psychologists is investigating whether exposure to outside spaces influences altruism. They gather a...
A group of psychologists is investigating whether exposure to outside spaces influences altruism. They gather a group of subjects and ask them to take a test, during the test, they are asked how much they would donate to a charity. Half of the subjects take the test in a windowless room, the other half take the test in the university’s garden. The researchers believe the subjects in the garden will donate more on average. Which of the following best describes...
18. A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at...
18. A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at the end of a meeting would encourage office workers to have a higher output to their work based on the numbers of sales each workers made. The group tested 10 participants that were in two conditions where one meeting ended in a motivational speech and another were no motivational speech was given. Here are the number of sales that was produced by the 10...
18. A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at...
18. A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at the end of a meeting would encourage office workers to have a higher output to their work based on the numbers of sales each worker made. The group tested 10 participants that were in two conditions where one meeting ended in a motivational speech and another were no motivational speech was given. Here are the number of sales that was produced by the 10...
A group of medical professionals is considering the construction of a private clinic. If the medical...
A group of medical professionals is considering the construction of a private clinic. If the medical demand is high (i.e., there is a favorable market for the clinic), the physicians could realize a net profit of $100,000. If the market is not favorable, they could lose S40.000, Of course, they don't have to proceed at all, in which case there is no cost. In the absence of any market data, the best the physicians can guess is that there is...
In a group of 12 young professionals studied, it was found that they purchased on average...
In a group of 12 young professionals studied, it was found that they purchased on average $245.804 per month eating meals prepared outside the home, with a standard deviation of $34.4307. What is the 95% confidence interval of the true amount of money young professionals spend monthly on meals prepared outside the home? Question 1 options: 1) ( 224.146 , 267.462 ) 2) ( 223.928 , 267.68 ) 3) ( -223.928 , 267.68 ) 4) ( 235.865 , 255.743 )...
Let f be a group homomorphism from a group G to a group H If the...
Let f be a group homomorphism from a group G to a group H If the order of g equals the order of f(g) for every g in G must f be one to one.
A group of psychologists want to examine whether different types of psychotherapy work better for adolescent...
A group of psychologists want to examine whether different types of psychotherapy work better for adolescent depression. One group of n1 = 4 adolescents were given Cognitive-Behavioral therapy, a second group of n2 = 4 adolescents were given Psychodynamic therapy, and a third group of n3 = 4 adolescents were placed on a Waitlist Control condition. At the end of 10-weeks, each participant comnpletes a depression screening (higher scores mean more depressed). The data are below. Psychotherapy Type Cognitive-Behavioral Psychodynamic...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT