SOLUTION: Let the random variable X denote the number of Sunday papers sold by a paperboy in a city. Assume that X is b(500,1/5). If 50 such paperboys are randomly selected approximate the

Question 1171094: Let the random variable X denote the number of Sunday papers sold by a paperboy in a city. Assume that X is b(500,1/5). If 50 such paperboys are randomly selected approximate the probability that the sample mean is less than 99.
I found a formula for using the central limit theorem on binomial distributions.
it is find the value in a normal distribution table of (b-np)/(sqrt(npq).

I know b is 99, p = 1/5, and q = 1/5. I think n is 500 but I am not sure. If n = 500 I get the z-score value as -0.11 and using the table I get the
P(x < 99) = 0.4562
I am not sure if I did this right or need to change my n value.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Almost
p=1/5 and q=4/5 or (1-p)
mean is np=100
variance is np(1-p)=80
sd is sqrt (V)=8.944

You need to use the continuity continuation factor, so <99 means a high of 98.5
for 50, it is
sd is 8.944/sqrt(50)
z=(98.5-100)/8.944/sqrt(50)
=-1.5*sqrt(50)/8.944
=-1.18
probability is 0.1190.
RELATED QUESTIONS
A die is cast repeatedly until a 6 falls uppermost. Let the random variable X denote the... (answered by Fombitz)

Excel RAND Function. Most computer languages include a function that can be used to... (answered by onyulee)

Let a be the last digit of your social security number if it is not zero. In the latter... (answered by stanbon)

Help me identify pls I'm having a hard time. Discrete Random Variable, Continuous... (answered by math_tutor2020)

Consider the experiment where a pair of fair dice is thrown. Let X denote the random (answered by stanbon)

1-Two girls want to meet at a specifed place between 4 and 5 p.m.. Let T denote the... (answered by greenestamps)

When two balanced dice are rolled, 36 equally likely outcomes are possible. Let X denote (answered by math_tutor2020)

ANY HELP WILL BE GREATLY APPRECIATED Three balls are selected at random without... (answered by edjones)

Let x be a random variable that denotes the number of tails obtained when three coins are (answered by ewatrrr)