Rebekah wants to read a certain number of pages each day during summer vacation. Today she reads 204 pages, which is 136% of her
2 answers:
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Answer:
Step-by-step explanation:
<u>Step 1</u>:-
Suppose that E and F are two events and that P(E n F) = 0.3
also given P(E) =0.5
<u>Conditional probability</u>:-
if E₁ and E₂ are two events in a Sample S and P(E₁)≠ 0, then the probability of E₂ , after the event E₁ has occurred, is called the <u>Conditional probability</u>
of the event E₂ given E₁ and is denoted by
Answer:
The teacher should set the score 7 as the lowest passing grade.
Step-by-step explanation:
Let <em>X</em> = number of correct guesses.
All the questions are of true-false format.
The probability of getting a correct answer is, <em>p</em> = 0.50.
The total number of questions is, <em>n</em> = 10.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.
The probability mass function of <em>X</em> is:
Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.
Then the probability of failing such a students is at least 1 - 0.05 = 0.95.
Compute the probability distribution of <em>X</em>.
Consider the probability distribution attached below.
The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.
So the teacher should set the score 7 as the lowest passing grade.
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
The savings function is given as
The allowance function is given as:
The new function that combined his savings and his allowances is calculated as:
Substitute values for s(x) and a(x)
Open bracket
Collect like terms
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