qasim hussain opened his account book. he obseverd that the sum of page numbers of the two pages in front of him is 93. find the
1 answer:
Answer:
The page numbers are 46 and 47.
Step-by-step explanation:
Given:
Qasim hussain opened his account book. He observed that the sum of page numbers of the two pages in front of him is 93.
Now, to find the page numbers.
Let the first page number be
And the other page number be
<em>As, given he observed that the sum of page numbers of the two pages in front of him is 93. </em>
According to question:
<em>Subtracting both sides by 1 we get:</em>
<em>Dividing both sides by 2 we get:</em>
<em>So, the first page number = </em>46.
<em>And the other page number</em> =
Therefore, the page numbers are 46 and 47.
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Answer:
The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.
Step-by-step explanation:
The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.
The random variable <em>T</em> is exponentially distributed.
The probability density function of a an exponential random variable is:
The average time a customer spends in a bank is <em>β</em> = 10 minutes.
Then the parameter of the distribution is:
An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.
That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)
So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is:
P (X > 15 | X > 10) = P (X > 5)
Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.