It is estimated that $0.5\%$ of all left-handed people and $0.4\%$ of all right-handed people suffer from some form of colour-blindness. A random sample of $200$ left-handed and $300$ right-handed people is taken. Find the probability that there is exactly one person in the sample that suffers from colour-blindness.[Write your answer correcting to three decimal places]

Calculate the mean, variance and standard deviation of the following discrete random variable. Give non-exact answers correct to $3$ significant figures.

$V~B(5,0.2)$.

Calculate the mean, variance and standard deviation of the following discrete random variable.Write your answers correcting to three decimal places.

$W~B(24,0.55)$.

Calculate the mean, variance and standard deviation of the following discrete random variable.Write your answers correcting to three decimal places.

$X~B(365,0.18)$.

Calculate the mean, variance and standard deviation of the following discrete random variable.Write your answers correcting to three decimal places.

$Y~B(20,\sqrt{0.5})$.

Given that $X~B(8,0.25)$, calculate $E\left(X\right)\text{ and }Var\left(X\right)$.

Given that $X~B(8,0.25)$, calculate $P[X= E (X\left)\right]$. {Write your answer correcting to three decimal places}

Given that $X~B(8,0.25)$, calculate $P[X< E (X\left)\right]$. {Write your answer correcting to three decimal places}

Given that $Y~B(11,0.23)$, calculate $P(Y\ne 3)$. {Write your answer correcting to three decimal places}