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ELEN [110]
3 years ago
15

A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A rand

om sample of 55 components was​ taken, and the durations of their timing signals were measured.a. The probability is 0.01 that the sample variance is bigger than what percentage of the population​ variance?
b. The probability is 0.05 that the sample variance is less than what percentage of the population​ variance?
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

Check the explanation

Step-by-step explanation:

b ) P(s^2

or , P\left (\frac{(n-1)s^2}{\sigma^2}

or , P\left (\chi^2_5

or , 5p =1.145476

or , p =\frac{1.145476}{5}= 0.2290952

Required percentage = 22.91

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According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

\begin{gathered} 50-2x=110-42x \\ 42x-2x=110-50 \\ 40x=60 \\ x=\frac{60}{40} \\ x=\frac{3}{2} \end{gathered}

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\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}

The measure of these angles is 47°

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