The event A shows the sum of faces when tossing a coin two times, then the probability that the sum of faces is prime is
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 6
The event A shows the sum of faces when tossing a coin two times, then the probability
that the sum of faces is prime is
14/36
O 13/36
18/36
O 15/36
Question 7
Seventy five percent of students at a collage with a large student population of Size 100
use the social media site Instagram.
Five students are randomly selected
two of these three students use Insta](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0bf58d6-2408-426c-9785-2208ded25c93%2Ffd3437dd-7640-40e0-8c73-82028945a2c6%2Fam3p1of_processed.jpeg&w=3840&q=75)
![Question 11
A research analyst disputes a trade group's prediction that back-to-school spending will verige
$600 per family this year. She believes that average back-to-school spending will difter from this
amount. She decides to conduct a test on the basis of a random sample of 25 households with
school-age children. She calculates the sample mean as $620. She also believes that back-fo-
school spending is normally distributed with a population standard deviation of $6. She wonts to
conduct the test at the 5% significance level.
a. Specify the competing hypotheses in order to test the research analyst's claim.
b. Calculate the value of the test statistic.
d. At this significance level, does average back-to-school spending differ from $6007
A
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Paragiaph
A
BI
T. 12pt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0bf58d6-2408-426c-9785-2208ded25c93%2Ffd3437dd-7640-40e0-8c73-82028945a2c6%2Fz3vojtk_processed.jpeg&w=3840&q=75)
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