2) A study conducted at a certain college shows that 54% of the school's graduates move to a different state after graduating. Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating. 2)
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.
Question 2
![SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find the indicated probability.
1) Of 1454 people who came into a blood bank to give blood, 357 were ineligible to give
blood. Estimate the probability that the next person who comes in to give blood will be
ineligible to give blood.
1)
2) A study conducted at a certain college shows that 54% of the school's graduates move to a
different state after graduating. Find the probability that among 7 randomly selected
graduates, at least one moves to a different state after graduating.
2)
3) In one town, 51% of adults are employed in the tourism industry. What is the probability
that five adults selected at random from the town are all employed in the tourism
industry?
3)
4) The age distribution of members of a gymnastics association is shown in the table. A
the person
selected is between 26 and 35 inclusive. Round your answer to three decimal places.
4)
member of the association is selected at random. Fir
the probability
Age (years)
Frequency
Under 21
402
21-25
417
26-30
201
31-35
50
Over 35
24
1094
5) At Bill's community college, 41.7% of students are Caucasian and 2.7% of students are
Caucasian math majors. What percentage of Caucasian students are math majors?
5)
6) Suppose that the probability that Sue will pass her statistics test is 0.62, the probability that
she will pass her physics test is 0.48, and the probability that she will pass both tests is
0.290. What is the probability that she passes her physics test given that she passed her
6)
statistics test?
7) The table below describes the exercise habits of a group of people suffering from high
blood pressure. If one of the 1046 subjects is randomly selected, find the probability that
the person selected is female given that they exercise occasionally.
7)
No
Occasional Regular
exercise
exercise
exercise Total
Men
384
85
74
543
Women
345
69
89
503
Total
729
154
163
1046](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d0f54a7-3789-4e8d-9929-4b2dd378049f%2Fee008430-1ba4-47a3-be05-716722a6f10a%2F3gq1an_processed.jpeg&w=3840&q=75)
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