Rachael ordered early learning software for her daughter from an online retailer. Each item costs $6.50, and there is a shipping
2 answers:
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Answer:
(a) E (X) = 61 and SD (X) = 9
(b) E (Z) = 0 and SD (Z) = 1
Step-by-step explanation:
The time of the finishers in the New York City 10 km run are normally distributed with a mean,<em>μ</em> = 61 minutes and a standard deviation, <em>σ</em> = 9 minutes.
(a)
The random variable <em>X</em> is defined as the finishing time for the finishers.
Then the expected value of <em>X</em> is:
<em>E </em>(<em>X</em>) = 61 minutes
The variance of the random variable <em>X</em> is:
<em>V</em> (<em>X</em>) = (9 minutes)²
Then the standard deviation of the random variable <em>X</em> is:
<em>SD</em> (<em>X</em>) = 9 minutes
(b)
The random variable <em>Z</em> is the standardized form of the random variable <em>X</em>.
It is defined as:
Compute the expected value of <em>Z</em> as follows:
The mean of <em>Z</em> is 0.
Compute the variance of <em>Z</em> as follows:
The variance of <em>Z</em> is 1.
So the standard deviation is 1.
Answer:
(A)
(B)
Then the cumulative function would be
if 0<x<1
0 otherwise.
Step-by-step explanation:
(A)
We are looking for the probability that the random variable X is greater than 0.8.
(B)
For any you are looking for the probability
which is
Then the cumulative function would be
if 0<x<1
0 otherwise.
Answer:
286
Step-by-step explanation:
Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.
To Find: If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?
Solution:
Since Annabelle paid 200 euros
And Myra wants to pay Annabelle back in U.S. dollars.
Let Myra paid amount to Annabelle in U.S. dollar be x
We are also given that the U.S. dollar and the euro is 1:0.7
⇒
⇒
⇒
⇒
⇒285.7≈286
Thus Myra should pay $286 to Annabelle