The owner of an ice cream shop wants to determine whether there is a relationship between ice cream sales and temperature. The o
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Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:
a) 60,466,176.
b) 5,961,600.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
Item a:
No restrictions, hence for each of the five characters, there are 36 outcomes, hence .
Then, the possible number of passwords is:
Item b:
The letters and the digits have to be alternated, hence:
- Starting with a letter,
.
- Starting with a digit,
.
Then, the possible number of passwords is:
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866
Answer:
The probability is
Step-by-step explanation:
From the question we are told
The population proportion is
The sample size is
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is
Generally the standard deviation of this sampling distribution is
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Generally the sample proportion is mathematically represented as
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Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as
From the z table the area under the normal curve to the left corresponding to -3.022 is
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