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Talja [164]
4 years ago
13

6 3/4x5=? Please help

Mathematics
1 answer:
lesantik [10]4 years ago
8 0
The answer would be 33 3/4.
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Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable wi
Mandarinka [93]
The moment generating function (mgf) of y is given by

M_y(t)=E(e^{ty})=E(e^{2pxt})=M_x(2pt)=p(1-e^{2pt}(1-p))^{-1}

Since the momoent generating function of x is given by M_x(t)=p(1-e^{t}(1-p))^{-1}

When p tends to 0, we have

\lim_{p \to 0} M_y(t)=  \lim_{p \to 0}  \frac{p}{1-e^{2pt}(1-p)} = \frac{0}{0}

Applying L'Hopital's rule we have:

\lim_{p \to 0} M_y(t)=\lim_{p \to 0} \frac{1}{e^{2pt}+2te^{2pt}+2pte^{2pt}} = \frac{1}{1+2t} , \ \ \ t\ \textless \  \frac{1}{2}

This shows that y converges to <span>a chi squared random variable with 2r degrees of freedom</span>.
5 0
4 years ago
Please try to answer them all. I know it's a lot but I'm really struggling
scoray [572]
6.a
7.c
8.d
9.c
10.c
Hope I helped BTW these are 100% correct good luckk:-)
3 0
3 years ago
Due in 5 min please help thank you
NISA [10]

Answer:

dam the number too small

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Suppose the half-life of a decaying radioactive isotope is 674 years. How long will it takefor the isotope to decay from 100 gra
KonstantinChe [14]

The half life formula is :

N(t)=N_o(\frac{1}{2})^{\frac{t}{T}}

where N(t) = remaining quantity after t years

No = Original Quantity

t = time in years

T = half life in years

From the problem, we have :

N(t) = 30 grams

No = 100 grams

T = 674

Solve for t :

\begin{gathered} 30=100(\frac{1}{2})^{\frac{t}{674}} \\ \frac{30}{100}=(\frac{1}{2})^{\frac{t}{674}} \\ \frac{3}{10}=(\frac{1}{2})^{\frac{t}{674}} \end{gathered}

Take ln of both sides :

\begin{gathered} \ln (\frac{3}{10})=\ln (\frac{1}{2})^{\frac{t}{674}} \\ \ln (\frac{3}{10})=\frac{t}{674}\ln (\frac{1}{2}) \\ t=\frac{674\ln (\frac{3}{10})}{\ln (\frac{1}{2})} \\ t=1170.71 \end{gathered}

The answer is t = 1170.71 years

5 0
1 year ago
How do you write 5y-9=0 in standard form?
shepuryov [24]

Answer:

5y=9

Step-by-step explanation:

5 0
3 years ago
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