I need help solving the problems below. Please explain so I can understand the material better. Thank you. "More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 14 such institutions. We are interested in the number that offer distance learning courses." Find the probability that at most twelve offer such courses. (Round to four decimal places.) is it more likely that 13 or that 14 will offer such courses? (I must use numbers to justify the answer numerically and fill in the blanks to complete the sentence below) The probability that 13 schools will offer such courses is ___ and the probability that 14 schools will offer such courses is ____ Therefore, it is more likely that ____ schools will offer distance learning courses.
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.
I need help solving the problems below. Please explain so I can understand the material better. Thank you.
"More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 14 such institutions. We are interested in the number that offer distance learning courses."
- Find the
probability that at most twelve offer such courses. (Round to four decimal places.)
is it more likely that 13 or that 14 will offer such courses? (I must use numbers to justify the answer numerically and fill in the blanks to complete the sentence below)
The probability that 13 schools will offer such courses is ___ and the probability that 14 schools will offer such courses is ____ Therefore, it is more likely that ____ schools will offer distance learning courses.
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