Giving Brainliest for correct answer!
1 answer:
You might be interested in
Answer:
(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.
(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.
Step-by-step explanation:
Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.
The probability that a customer makes a purchase is, <em>p</em> = 0.52.
The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.
The probability mass function of <em>X</em> is:
The expected value of a Geometric distribution is:
(a)
Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:
This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.
(b)
Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:
Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.
Answer:
The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.
Step-by-step explanation:
Given:
A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.
The tax of the first city was 6% and the tax of the second city was 10%.
Total hotel tax paid for two cities with $670.
Now, to find the hotel charge in each city before tax.
Let the hotel charge in first city before tax be
And the hotel charge in second city before tax be
<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>
<em>Thus</em>,
........(1)
<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>
6% of + 10% of
= $670.
Substituting the value of from equation (1) we get:
<em>Adding both sides by 150 we get:</em>
<em>Dividing both sides by 0.16 we get:</em>
<em>The hotel charge in first city before tax = $5125.</em>
Now, substituting the value of in equation (1) we get:
<em>The hotel charge in second city before tax = $3625.</em>
Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.