60% of the employees in a specialized department of a large software firm are computer science graduates. A project team is made up of 9 employees. Part a) What is the probability to 3 decimal digits that all the project team members are computer science graduates? Part b) What is the probability to 3 decimal digits that exactly 3 of the project team members are computer science graduates? Part c) What is the most likely number of computer science graduates among the 9 project team members? Your answer should be an integer. If there are two possible answers, please select the smaller of the two integers.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
60% of the employees in a specialized department of a large software firm are computer science graduates. A project team is made up of 9 employees.
Part a) What is the
Part b) What is the probability to 3 decimal digits that exactly 3 of the project team members are computer science graduates?
Part c) What is the most likely number of computer science graduates among the 9 project team members? Your answer should be an integer. If there are two possible answers, please select the smaller of the two integers.
Part d) There are 48 such projects running at the same time and each project team consists of 9 employees as described. On how many of the 48 project teams do you expect there to be exactly 3 computer science graduates? Give your answer to 1 decimal place.
Part e) I meet 30 employees at random. What is the probability that the second employee I meet is the first one who is a computer science graduate? Give your answer to 3 decimal places.
Part f) I meet 34 employees at random on a daily basis. What is the mean number of computer science graduates among the 34 that I meet? Give your answer to one decimal place.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps
