Question

2-3 points Rolff M8 8.7.089 iment with n-60 and ρ-06, use the normal distribution to estimate the following. (See Example 18. Round your answers to four decimal pl (a) = 40) (b) prx-28) (c) PLX = 32) Need Help? Teh to 01-3 points RolFM8 8.7.091. Given the Bernoulli experiment with n-12 and ρ-0.5. use the normal distribution to estimate the following. (See Example 20, Round your answers to four decimal pl (a) P(4 <X<8) Need Help? İİİEl Lemoneel roj 22 points Prevous Answers RorFMB 8.7.097

Answer 1

Q 1)  

The conditions for Normal approximation to binomial distribution is

np > 5 = 60*0.6 = 36 > 5

nq > 5 = 60*0.4 = 24 > 5

Hence we use normal approximation

Mean = n p = 60*0.6 = 36

Standard deviation

a)

$P(X= 40) =P(39.5<X< 40.5) =P(\frac{39.5 -36}{3.79}<Z<\frac{40.5-36}{3.79})$

b)

$P(X= 28) =P(27.5<X< 28.5) =P(\frac{27.5 -36}{3.79}<Z<\frac{28.5-36}{3.79})$

c)

$P(X= 32) =P(31.5<X< 32.5) =P(\frac{31.5 -36}{3.79}<Z<\frac{32.5-36}{3.79})$