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mart [117]
2 years ago
10

NO LINKS!!! Please help fill in the blanks. Part 11a

Mathematics
1 answer:
Lorico [155]2 years ago
4 0

Answer:

  see attached

Step-by-step explanation:

Here's your worksheet with the blanks filled.

__

Of course, you know these log relations:

  log(a^b) = b·log(a) . . . . . power property

  log(a/b) = log(a) -log(b) . . . . . quotient property

  log(x) = log(y)   ⇔   x = y . . . . . . . . . equality property

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Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58​, what is the
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0.36% probability that fewer than half in your sample will watch news​ videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

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Normal probability distribution

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In this problem, we have that:

n = 250, p = 0.58

So

\mu = E(X) = 250*0.58 = 145

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80

If the population proportion of adults who watch news videos is 0.58​, what is the probability that fewer than half in your sample will watch news​ videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

Z = \frac{X - \mu}{\sigma}

Z = \frac{124 - 145}{7.8}

Z = -2.69

Z = -2.69 has a pvalue of 0.0036

0.36% probability that fewer than half in your sample will watch news​ videos

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The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98
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