Determine the probability of the desired event

Determine the probability of the desired event

Question 1 of 5

Analyze the following scenario and complete the following:

  1. Determine what type of approach should be used to calculate the desired probability: Classical, Empirical, or Subjective.
  2. Determine the probability of the desired event, if possible, rounding to 3 significant digits.

A chef at a restaurant receives 68 orders during the course of an evening. He made a mistake with 11 of these orders. Based on this, what is the probability that the chef will make an error on the next order he receives?

  1. Approach:

(click to select) Classical Empirical Subjective

  1. Probability of error on next draw:

Round to 3 significant digits. Enter 0 if Subjective.

Question 2 of 5

737 people phoned customer support for help with their internet connection. Technicians were not able to provide a solution for 402 of customers who had called.

If one customer is randomly selected from the number of people that phoned:

  1. Calculate the probability that it’s a customer that technicians were not able to help, rounded to 3 significant digits as needed.
  • Calculate the probability of the complementary event.

Question 3 of 5

Complete the following table and use it calculate the probabilities given below.

 BBcTotal
A0.4340.258 
Ac   
Total0.553 1
  1. P(AcorBc)=P(AcorBc)=
  • P(AcorB)=P(AcorB)=
  • P(Ac|Bc)=P(Ac|Bc)=

Round to 3 decimal places

  • P(Ac|B)=P(Ac|B)=

Round to 3 decimal places

  • Are the events AA and BB independent?

(click to select) Yes

No

  • Are the events AA and BB mutually exclusive?

(click to select) Yes

No

Question 4 of 5

In a survey that asked 83 people to indicate the reasons why they do not go to the gym, 57 responded that they were too busy, 23 said they felt too tired/lazy to go, and 10 said both.

  1. If a participant is randomly selected from the study, determine the probability that he/she does not go to the gym because he/she is too busy or because he/she is too tired/lazy.

P (Busy or Tired/Lazy):

Round to 3 significant digits.

  • If a participant is randomly selected from the study, determine the probability that he/she does not go to the gym for reasons not related to busyness or tiredness/laziness.

P (Other):

Round to 3 significant digits.

Question 5 of 5

A consulting firm offers a market viability study to businesses seeking to expand into a new market. In the past, when a business experienced expansion success in a new market, the survey had revealed favourable conditions 75% of the time, and when a business did not experience expansion success in a new market, the survey had revealed unfavourable conditions 95% of the time. If 60% of the businesses that expanded experienced success, what is the probability that a business will experience success given a favourable market report from the consulting firm?

Round to three decimal places if applicable

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