Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 28% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 90 freshmen is selected. Round the answer to at least four decimal places. a) Find the probability that less than 31% of the freshmen in the sample are planning to major in a STEM discipline. -The probability that less than 31% of the freshmen in the sample are planning to major in a STEM discipline is ....... b)A new sample of 140 freshmen is selected. Find the probability that less than 30% of the freshmen in this new sample are planning to major in a STEM discipline. -The probability that less than 30% of the freshmen in the sample are planning to major in a STEM discipline is ........ c)Find the probability that the proportion of freshmen in the sample of 140 who plan to major in a STEM discipline is between 0.30 and 0.35.
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.
Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 28% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 90 freshmen is selected. Round the answer to at least four decimal places.
a) Find the
-The probability that less than 31% of the freshmen in the sample are planning to major in a STEM discipline is .......
b)A new sample of 140 freshmen is selected. Find the probability that less than 30% of the freshmen in this new sample are planning to major in a STEM discipline.
-The probability that less than 30% of the freshmen in the sample are planning to major in a STEM discipline is ........
c)Find the probability that the proportion of freshmen in the sample of 140 who plan to major in a STEM discipline is between 0.30 and 0.35.
-The probability that the proportion of individuals in the sample of 140 who plan to major in a STEM discipline is between 0.30 and 0.35 is ...........
d)Find the probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline.
-The probability that more than 33% of the freshmen in the sample of 140 are planning to major in a STEM discipline is .........
e)Would it be unusual if less than 21% of the freshmen in the sample of 140 were planning to major in a STEM discipline? It (would/would not) be unusual if less than 21% of the freshmen in the sample of 140 were planning to major in a STEM discipline, since the probability is ........
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
