let-xbinnpxsimtextbinnp-using-the-normal-approximation-with-continuity-correctio

Question

Let $X \sim Bin (n, p)$ . Using the normal approximation with continuity correction, which expression should be used to approximate $P of open paren X is less than 5 close paren$ ?

Accepted Answer

$Φ (\frac{4.5 - n p}{\sqrt{n p (1 - p)}})$

Answer

$Φ (\frac{4.5 - n p}{\sqrt{n p (1 - p)}})$

Answer

$Φ (\frac{4.5 - n p}{\sqrt{n p (1 - p)}})$

Answer

$Φ (\frac{4.5 - n p}{\sqrt{n p (1 - p)}})$

Let X∼Bin(n,p)X\sim\text{Bin}(n,p). Using the normal approximation with continuity correction, which expression should be used to approximate P(X<5)P(X<5)?

Let $X \sim Bin (n, p)$ . Using the normal approximation with continuity correction, which expression should be used to approximate $P of open paren X is less than 5 close paren$ ?