Suppose the amount of sun block lotion in plastic bottles leaving a filling machine has a normal distribution. The bottles are labeled 300 milliliters (ml) but the actual mean is 302 ml and the standard deviation is 2 ml. If you purchase a package of 6 bottles of lotion, what is closest to the probability that at least one bottle has a content

Question:

Suppose the amount of sun block lotion in plastic bottles leaving a filling machine has a normal distribution. The bottles are labeled 300 milliliters (ml) but the actual mean is 302 ml and the standard deviation is 2 ml. If you purchase a package of 6 bottles of lotion, what is closest to the probability that at least one bottle has a content of less than 300 ml?

0.645314

Step-by-step explanation:

Given:

Mean, u = 302

Standard deviation = 2

n = 6

Let's first find P(X>300):

Using the standard normal table,

NORMSDIST(-1) = 0.158655

Thus,

P(Z<-1) = 0.158655

Find the closest to the probability that at least one bottle has a content of less than 300 ml:

Given that 6 bottles were purchased & p = 0.158655

Find:

P(X≥1) = 1 – P(X<1) = 1 – P(X=0)

Use bimonial distribution:

Therefore,

P(X≥1) = 1 – P(X<1) = 1 – P(X=0)

= 1 - 0.354686

= 0.645314

The closest to the probability that at least one bottle has a content of less than 300 ml is 0.645314

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

pakistan's principal natural resources are arable land and water. about 25% of pakistan's agriculture accounts for about 21% [1] of gdp and employs about 43% of the labour force. in pakistan, the most agricultural province is punjab where wheat and cotton are the most grown.