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geniusboy [140]
4 years ago
12

Simplify the fractionshow the work

Mathematics
2 answers:
neonofarm [45]4 years ago
7 0
First find a common denominator (The bottom part)

24

now times that to the top part

8 × 3 = 24 so 7 × 3 = 21
3 × 8 = 24 so 10 × 8 = 80
14 × 2 = 24 so 5 × 2 = 10

21/24 × 80/24 × 10/24 = 16,800/24

simplify

400/ 7 or 57 1/7
Oksanka [162]4 years ago
3 0

\frac{7}{8}  \times  \frac{10}{3}  \times  \frac{5}{14}
\frac{7}{8} (\frac{10}{3})(\frac{5}{14})
\frac{35}{12} ( \frac{5}{14}) =  \frac{25}{24}
ANSWER
\frac{25}{24}

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For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l
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Step-by-step explanation:

Given value:

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E(X_i)=2 \\

Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\

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Now we calculate the \bar X \sim N(2, \sqrt{\frac{2}{n}})\\

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\to \sum^n_{i=1}  \frac{X_i - 2}{n}  \times\sqrt{\frac{n}{2}}}  \sim  N(0, 1)\\\\\to  \sum^n_{i=1}  \frac{X_i - 2}{\sqrt{2n}}  \sim  N(0, 1)\\

\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\

\to P(-1 \leq X_n \leq 2)  = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\

                               = 0.92 -0.24\\\\= 0.68

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3 years ago
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