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uysha [10]
3 years ago
5

Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value

9 min and standard deviation 3 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Round your answer to four decimal places.)

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

a) The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = 0.2546

Step-by-step explanation:

<u>Step1:</u>-

Given data in a  normal distribution with mean value 9 min and standard deviation 3 min.

Let 'X' be the amount of time taken on each day

Given x = 11 , μ=9min and σ=3min

by using normal distribution

Z= \frac{x-mean}{S.D} = \frac{11-9}{3}

Z = 0.66>0

<u>Step2:</u>-

The probability that the sample average amount of time taken on each day is at most 11 min.

P(X>11) = P(z>z₁) = 0.5-A(z₁) ( check diagram)

                          = 0.5 - A(0.66)

                          = 0.5 - 0.2454 ( check normal table)

                          = 0.2546

<u>Conclusion</u>:-

<u>The probability that the sample average amount of time taken on each day is at most 11 min.</u>

<u>P(X>11) = 0.2546</u>

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Zanzabum

Answer:

The value of n = 12

Step-by-step explanation:

Given the points

  • (-4, n)
  • (2, 4n)

The slope formula

m = y₂-y₁ / x₂ - x₁

\left(x_1,\:y_1\right)=\left(-4,\:n\right),\:\left(x_2,\:y_2\right)=\left(2,\:4n\right)    

m=\frac{4n-n}{2-\left(-4\right)}

m=\frac{n}{2}

Given that the slope = m = 6

Thus, substituting the value

6 = n/2

n = 6 × 2

  = 12

Thus, the value of n = 12

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A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs
Murrr4er [49]

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Step-by-step explanation:

Let the marked price be M

1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.

SP = 0.88M

CP - SP = 16

CP = 16 + SP

CP = 16 + 0.88M

2) If he had sold it at 10% discount he would have gained Rs 20.

SP = 0.9M

SP - CP = 20

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3 years ago
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photoshop1234 [79]

Answer:

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

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C_{n,x} = \frac{n!}{x!(n-x)!}

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4 0
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