Asher opened a savings account by making an initial deposit and setting up weekly automatic deposits as shown in the graph. How
much was Asher's initial deposit?
what is the amount of Asher's weekly deposit?
write and equation to represent the situation?
what is the amount of Asher's weekly deposit?
write and equation to represent the situation?
2 answers:
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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?
Answer:
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