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Luda [366]
3 years ago
12

Let X have a binomial distribution with parametersn = 25and p. Calculate each of the following probabilities using the normal ap

proximation (with the continuity correction) for the casesp = 0.5, 0.6, and 0.8and compare to the exact binomial probabilities calculated directly from the formula forb(x; n, p).(Round your answers to four decimal places.)(a)P(15 ≤ X ≤ 20)
Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

The answer is explained below

Step-by-step explanation:

We have the following formulas:

from binomial distibution: P (X = x) = (nCx) * (p) x * (1-p) n-x

from normal distribution: P (X <= x) = (x-np) / sqrT (np (1-p))

Now, n = 25 and p (0.5, 0.6, 0.8), we replace in the formulas and we are left with the following table:

 P        P(15<=X<=20)                    P(14.5<=X<=20.5)

0.5            0.2117     is less than            0.2112

0.6            0.5763     is less than            0.5685

0.8            0.5738    is greater than       0.5957

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katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

Correct \Marks= +5

Incorrect\ Marks= -2

Score\ Obtained = 30

Number\ of\ correct\ answers = 10

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

Total = +5 * 10

Total = +50\ marks

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

Incorrect = Scores\ Obtained - Total

Incorrect = 30 - (+50)

Open bracket

Incorrect = 30 - 50

Incorrect = -20

Divide this by -2 to get the number of incorrect answers

Incorrect\ Answers = \frac{-20}{-2}

Incorrect\ Answers = 10

Add this to the number of correct answers to give the total number of question answered

Total = Correct\ Answers + Incorrect\ Answers

Total = 10 + 10

Total = 20

<em>Hence, Roy answered a total of 20 questions</em>

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3 years ago
Which expression has the greatest value |-21|, |14|, |30|, |-45|
tresset_1 [31]

Answer:

|-45|

Step-by-step explanation:

In mathematics, the absolute value of a real number is the numeric value of the  number, regardless the sign, either this is positive or negative.

The absolute value function can be definied as:

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Using this definition, we have:

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Answer:

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Answer:

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Step-by-step explanation:

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Subtract 5

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