91Ó°ÊÓ

The random variable$X$has the following definition:

$X=$the percentage of seniors who participated in after-school sports throughout their four years of high school.

Make a list of all the possible values for X.

Because the random variable $X$has a Poisson distribution with an upper bound of 100, the value is given by $x=0,1,2,…$

The random variable $X$will be distributed according to the Poisson distribution. In every two cakes, three pieces of egg shell are given, and in each piece of cake, one piece of egg shell is given.

$=\frac{3}{2}$

$=1.5$

$X~P(1.5)$

The Poisson distribution predicted is equal to,

$\mathrm{μ}=1.5$

As a result, we you except $1.5$egg shell fragments in the cake.

The required probability can be represented as $P(x=0)$, and it can then be determined with a calculator.

As a result, the chance that there would be no fragments of egg shell in the cake is $P(x=0)=0.2231$.

It is provided. If there are $3$pieces of egg shell in every $2$cakes, then there are 6 pieces of egg shell in each cake.

$$\begin{gathered} =\frac{3}{2}×6 \\ =9 \end{gathered}$$

The random variable $X$will follow Poisson distribution as below,

$X~P\left(9\right)$

The required probability can be expressed as$P(x=0)$ and then determined with a calculator.

$23498041\mathrm{E}-4$

As a result, the probability $P(x=0)=0.0001$is the likelihood that no egg shell will be found in any of the cakes.

Probability can be determined using $P(x=7)$rather than a calculator. $7.564261847{\mathrm{E}}^{-4}$

As a result, based on the average supplied for Pierre, probability $P(x=7)=0.00075$is not zero; yes, there could be seven pieces of shell in the cake.