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jarptica [38.1K]
4 years ago
15

Johnny says multiplication always makes numbers bigger. Explain to Johnny why this isn’t true. Give more than one example to hel

p him understand.
Mathematics
1 answer:
yarga [219]4 years ago
6 0

Answer:

Explained

Step-by-step explanation:

No, Multiplication does not always makes number bigger. When number is Multiplied by any number less than 1 the magnitude of the number decreases. Also any number multiplied by a negative number also reduces the number,

Example 5×2= 10 and 5×0.2= 1 clearly , 1<5

also, 5×(-2) = -10 which is also less than 5.

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Step-by-step explanation:

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3 years ago
Suppose that Y1, Y2,..., Yn denote a random sample of size n from a Poisson distribution with mean λ. Consider λˆ 1 = (Y1 + Y2)/
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Answer:

The answer is "\bold{\frac{2}{n}}".

Step-by-step explanation:

considering Y_1, Y_2,........, Y_n signify a random Poisson distribution of the sample size of n which means is λ.

E(Y_i)= \lambda \ \ \ \ \ and  \ \ \ \ \ Var(Y_i)= \lambda

Let assume that,  

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now consider \hat \lambda_2 = \bar Y

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For calculating the efficiency divides the \hat \lambda_1 \ \ \ and \ \ \ \hat \lambda_2 value:

Formula:

\bold{Efficiency = \frac{Var(\lambda_2)}{Var(\lambda_1)}}

                  =\frac{\frac{\lambda}{n}}{\frac{\lambda}{2}}\\\\= \frac{\lambda}{n} \times \frac {2} {\lambda}\\\\ \boxed{= \frac{2}{n}}

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