91影视

It is given in the question that, the population mean $\left(渭\right)=1.5$

population standard deviation $\left(蟽\right)=0.75$

Could the exact distribution of the count be Normal? Why or why not?

It is known that the normal distribution is entitled to take any real number. Here, the count is taking only values that are positive integers. Thus, the distribution of count is not normal.

It is given in the question that, the population mean$\left(渭\right)=1.5$

population standard deviation $\left(蟽\right)=0.75$

Find the probability that $700$ cars will carry more than $1075$ people.

There are total $700$passengers. The average number of passengers can be calculated as:

$\stackrel{-}{X}=\frac{1075}{700}$

$=1.536$

The probability that more than $1075$people would be carried out by the $700$cars is calculated as follows:

$P(\stackrel{炉}{X}>21.536)=P(\frac{\stackrel{炉}{x}鈭�渭}{\frac{蟽}{\sqrt{n}}}>\frac{1.536鈭�渭}{\frac{蟽}{\sqrt{n}}})$

$=P(Z>\frac{1.536鈭�1.5}{\frac{0.75}{\sqrt{100}}})$

$=P(Z>1.26)\text{(From standard normal table)}$

$=0.1038$

Thus, the required probability is$1.038$