Answer:
The volume of packing box is 33 unit³
Step-by-step explanation:
Given as :
The dimension of packing box are 3 by 2 by 5
I.e Length = 3 unit
Width = 2 unit
Height = 5 = 5 +
=
unit
Let the volume of box = V unit³
∵ The shape of box is similar to the shape of cuboid
So, volume of box = Length × width × Height
Or, V = 3 unit × 2 unit × unit
∴ V = 3 × 11 = 33 unit³
Hence The volume of packing box is 33 unit³ Answer
Answer:
Probability that their mean credit card balance is less than $2500 is 0.0073.
Step-by-step explanation:
We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570 and a standard deviation of $980.
You randomly select 5 credit card holders.
Let<em> </em><em> = </em><u><em>sample mean credit card balance</em></u>
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean credit card balance = $3570
= standard deviation = $980
n = sample of credit card holders = 5
Now, the probability that their mean credit card balance is less than $2500 is given by = P(<em> </em>< $2500)
P(<em> </em>< $2500) = P(
<
) = P(Z < -2.44) = 1 - P(Z
2.44)
= 1 - 0.9927 = 0.0073
The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.
Therefore, probability that their mean credit card balance is less than $2500 is 0.0073.