rks Window Help d2l.mu.edu es/documents/arts-scien... https://www.marquette.edu/mucentral/registrar/documents/Fo.. 1700-exam-3- MATH Problem 2. Suppose out of 50 tables in a restaurant, 35 have a person who ordered with his/her entree, 25 have a person who ordered salad with his/her entree, and 10 have ordered both. soup (a) How many tables will have neither a soup nor a salad delivered to them? (b) How many tables will only have a salad delivered? (c) What is the probability that a table will have a soup or a salad delivered? (d) What is the probability that a table will not have a soup delivered? (e) Are the events "soup delivered to the table" and "salad delivered to the table" mutu- ally exclusive? Are they independent? Justify your answers. Problem 3. Suppose the BART train system in California has 5 backup generators in use in the North Bay Area for when PG&E cuts power. Each one of them has a probability o.99 of functioning when turned on. You may assume independence of the generators. (a) What is the probability that none of the generators will work? (b) If we require the use of 2 generators to provide enough power for the day, what is the probability we will not be able to provide that power? Problem 4. Suppose that the probability a farm in Wisconsin raises dairy cattle is o.4, the probability it grows corn is o.6, and the probability that it raises/grows both cattle and corn is o.2. Given that a farm is growing corn, what's the probability it also raises cattle? Problem 5. Suppose you will keep parking parking ticket. The probability of getting a parking ticket on any particular day is o.4 and the days can be assumed to be independent. What is the probability you will have parked for 15 days before you got your third ticket? on campus illegally until you get your 3rd Problem 6. Find the probability under the standard normal curve of each of the follow- ing: Data NTosae /2 1

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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.