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Elena-2011 [213]
3 years ago
13

Help me plzzzzzzz!!!!!!ASAP!!!!!!!

Mathematics
1 answer:
jeyben [28]3 years ago
7 0
The third one!! 8!!!!!!
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Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of
IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable <em>X</em> following a Binomial distribution with parameters <em>n </em>and <em>p</em>.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

  • np ≥ 10
  • n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.10=1

Thus, a Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

8 0
3 years ago
What is an expression for "Four subtracted from the quotient of X and 3
LUCKY_DIMON [66]
" the quotient " means divide

(x/3) - 4 <== ur expression
4 0
3 years ago
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During second period, Janet completed a grammar worksheet.
Dmitry_Shevchenko [17]

Answer: 50%

Step-by-step explanation:

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3 years ago
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The product of two
inessss [21]

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

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A wholesaler buys a product for $15 and then marks it up 30%. What is the final price​
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Answer:

50

Step-by-step explanation:

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